Featured Subject of The Study: PCSO's Grand Lotto 6/55
This report studies results from PCSO's Grand Lotto 6/55 drawings. It covers results from 19th April 2010, the very first draw, until the date shown here. The study is a work-in-progress; thus, some statistics may change as new results are added. Come back anytime to discover more new probability findings.
An Overview
Just the basics and anything in general
This study is about a 6/55 lottery system wherein 6 winning numbers are drawn out from numbers 1 to 55; and in order to win, you must match your numbers with those that were drawn out. This overview, not only talks about the basics of this lottery system, but also introduces you to the basics of this probability study.
Basic Information: 6/55 Lottery System
Just what it is
This chapter discusses briefly what a 6/55 lottery system is in the form of PCSO's Grand Lotto 6/55, which is the subject of this study. If you are already familiar with this form of lottery, you may head on to the next chapter to get an idea of what to expect from this study.
What is a 6/55 Lottery System?
A 6/55 lottery system is a form of lottery system wherein six winning numbers are drawn out from numbers 1 to 55. There are three known means of drawing out the winning numbers.
- Manually where 6 balls are drawn out from a rolling tambiolo.
- Mechanically using an air-pressurised tumbler. Balls are pushed out by air.
- Electronically using a computerised system; not exactly random.
To play and win from this game depends on the rules and procedures set out by the organizing producer and management of the lottery. In the Philippines, this type of lottery system is called Grand Lotto. In other countries, it may be called or labeled differently. Whatever it is called, the system remains the same.
How many combinations can be formed with 1 – 55 Numbers?
There are exactly 28,989,675 combinations that can be formed from numbers 1 to 55 wherein each combination comprises 6 unique non-repeating numbers in no particular order. To verify this figure, with the use of any spreadsheet app such as Excel or Google Sheets, use the COMBIN() function this way: COMBIN(55,6).
If you prefer the long way, use the formula shown here, which you read as:
The other side of the equation is read as:
What's the odds of winning from a lottery 6/55?
Based on 28,989,675 combinations, your odds of winning a lottery 6/55 is 0.0000034% or 1:28,989,675. You have to play 289,896 combinations to increase your odds of winning to 1%.
Is there a way to increase the odds of winning other than playing 289,896 combinations?
Not all possible combinations are probable. By forming your 6-number combination based on what's probable, you increase the potential of your numbers to win. Nevertheless, though you have increased your number's potential to win, you still compete against thousands, if not millions. of other potential numbers. If your are reading this, at least, you have the edge over the other players who are not familiar with this study.
Featured Lottery: PCSO's Grand Lotto 6/55
What is Grand Lotto 6/55?
Grand Lotto 6/55 is a 6/55 lottery system. It is a form of a lottery wherein 6 winning numbers are drawn out of 55 numbers from 1 to 55. From the player's point of view, it is a lottery system wherein the player bets on 6 unique numbers from number 1 to 55.
How are the winning numbers determined?
How to play Grand Lotto 6/55?
To play the game, you pick 6 numbers from 1 to 55. Each number must be unique; you cannot pick a number twice. Your 6-number combination, however does not require any order. Use the wage card specific for Grand Lotto.
To use the wage card, simply mark the numbers that you want to play. Pick only 6 numbers for each box. There are 4 boxes labeled A, B, C, D. If you made a mistake in marking your numbers, mark the void tag. If you have no specific numbers to play, use LP, which stands for Lucky Pick. By marking LP, the system will generate the lotto numbers for you.
You can play your numbers up to 6 consecutive draws. Simply mark the number of draws found on the left side of the card.
What are system plays?
- 5R. In 5R, you mark 5 numbers. The system will generate your 5 numbers and combine them with all the other numbers you did not pick from 1 to 55. For example, if your numbers are 12345, the system will generate 50 combinations such as 123456, 123457, 123458 up to 01•02•03•04•05•55. You may also mark LP if you do not have particular numbers in mind. If you marked LP, make sure that you also mark 5R. This will cost you
₱1200₱1250 @ ₱25 per combination. - System 7. In S7, you mark 7 numbers. Based on your 7 numbers, the system will generate seven 6-number combinations. For example, if your numbers are 1234567, the system will generate 123456, 123457, 123467, 123567, 124567, 134567, 234567. If you do not have particular numbers in mind, mark LP instead and make sure that you mark S7 as well. This will cost you
₱168₱175 @ ₱25 per combination. - System 8. Mark 8 numbers or mark LP. The system will generate 28 combinations. This will cost you
₱672₱ @700 ₱25 per combination. - System 9. Mark 9 numbers or mark LP. The system will generate 84 combinations. This will cost you
₱2016₱2100 @ ₱25 per combination. - System 10. Mark 10 numbers or mark LP. The system will generate 210 combinations. This will cost you
₱5040₱5250 @ ₱25 per combination. - System 11. Mark 11 numbers or mark LP. The system will generate 462 combinations. This will cost you
₱11,088₱11,500 @ ₱25 per combination. - System 12. Mark 12 numbers or mark LP. The system will generate 924 combinations. This will cost you
₱22,176₱23,100 @ ₱25 per combination.
How much do you wage to play the game?
How do you win and how much if you matched your numbers?
If your 6 numbers matched the 6 winning numbers that were drawn, you win the jackpot prize. You win a consolation prize if you matched only 3, 4 or 5 numbers. The winning numbers do not follow a particular order, which means, the order the balls (or numbers) were drawn is irrelevant.
| Match | Starting Prize | Tax |
|---|---|---|
| 6 numbers | ₱30 million* | 20% |
| 5 numbers | ₱200,000** or less | 20% |
| 4 numbers | ₱3,000** or less | — |
| 3 numbers | ₱20 fixed | — |
* The minimum or starting jackpot prize is ₱30 million. This is divided equally among the winners should there be more than 1 winner. Deducted from the jackpot prize are:
- 1% commission for the agent or lotto outlet that sold the ticket.
- 20% tax on winnings
** For the second and third prizes, these are further lessened depending on the number of winners. For example, if only ₱10 million is allotted for the second prize, and there were 80 winners, the ₱10,000,000 will be divided by 80, reducing the second prize to only ₱125,000.
All prizes above ₱10,000 are taxed 20%. This took effect also in January 2018 as part of the Train Law. TRAIN stands for Tax Reform for Acceleration and Inclusion.
Is it practical to play all the possible combinations?
No. If you are going to play all the 28 million plus combinations, it will cost you ₱695,752,200 ₱724,741,875 @ ₱25 per combination. You will have to wait for the jackpot prize to reach ₱878,475,000 ₱917,394,778 just to breakeven (that is after deducting the 1% agent's commission and the 20% tax on winnings).
On the other hand, playing 289,896 combinations (10% of the combinations) will cost you ₱7,247,400 at ₱25/combination.
When are the scheduled draws of Grand Lotto 6/55?
How can probability help me win lotto 6/55?
The Probability Study
What Covers This Study
Probability doesn't guarantee outcomes—but it reveals what's most likely to occur. In practical applications, we focus on possibilities with 80% to 90% probability while eliminating those with only 0% to 10% likelihood. This approach narrows the field to combinations with genuine winning potential. For instance, betting on 01 • 02 • 03 • 04 • 05 • 06 makes little sense when it carries only a 0.01% chance of winning. This is precisely where probability analysis proves valuable: it helps us avoid long shots and concentrate on statistically favorable choices.
What To Expect From This Study
Even I myself did not expect that statistics would reveal something surprising. After performing all those tedious and time consuming statistical calculations, I never thought that a set of standards could come out of it. In this study, you will learn about standards, constraints and delimiters that could help you form your potential 6-number combinations. These standards and other probability factors are based on all-time statistics that cover more than 2000 actual lottery results.
Using the same technique with all-time statistics, you will also learn about trend probabilities wherein data are based on shorter periods.
Lastly, I will share with you an application tool that I made on Google Sheets. This spreadsheet app is a tool that validates your choice of lotto numbers based on probability standards and parameters.
Scope of This Study
This study is a work-in-progress. For that reason, you may see statistical data changing from time to time as new results are added to the database. There are statistical data that were studied earlier in 2010 – 2012; and there are that were updated up to the current year. The beginning of this page states the extent of the studies made as to its date and volume of sampled results. This study covers results from PCSO's Grand Lotto 6/55. There are separate reports about the other lottery systems such as 6/58, 6/49, 6/45 and 6/42.
Methodology
How the lottery results were collected and studied used basic mathematical calculations such as: summing the data, grouping cohesive data, counting occurrences of an event, determining the probability percentage, etc. There were no complicated mathematical formula that were used. What only made the calculations complicated was how to automate it on Google Sheets such as combining spreadsheet functions to handle a large volume of multiple data.
Statistical calculations were applied in determining:
- Winning frequency and occurrences of other factors;
- Probable patterns and sequences;
- Ranking of probability factors based on number of occurrences such as frequency of winning;
- Constraints, delimiters or thresholds;
- Timing of winning events;
Probability Metrics
Probability is measured between 0 (zero) and 1 (one) where 0 means no certainty; 1 means certain; and any value in between means partly certain and partly not. This metric may be presented in percentage (0–100%), decimal (0.0–1.0), or ratio (x:y)
Empirical Probability
In the entire study made, probability metrics were based on actual historical data. This is called empirical probability. Empirical means based on observation, direct experience, or experimentation rather than on theory, pure logic or abstract guessing (Merriam-Webster). An example of an empirical metric is the Draw Hit Rate, which measures the probability of a lotto number to be drawn over all draws being sampled. Another measure is how long can a number stay cold; i.e., not been winning. There are numerous empirical metrics used in this study. You will encounter them all as you read along.
Draw Hit Rate (The Standard Metric)
The standard metric used in lottery statistics is the Draw Hit Rate which is measured as the probability of a ball to be drawn out. There are two types:
- Theoretical (single ball odds): Draw out one ball among all 55 balls with six tries (i.e., six balls drawn out in every single draw);
- Empirical (frequency odds): Draw out the same number ball once or multiple times over multiple trials (i.e., lottey drawings).
The Draw Hit Rate answers the question: What is the probability or percentage chance that a particular lotto number will appear in any given draw? For example: #55 appeared 255 times out of 2,154 draws. The Draw Hit Rate of lotto #55 based on actual data sampled is 11.84% calculated as 255 / 2,154. On the other hand, the theoretical Draw Hit Rate is calculated as 6/55 or 10.91%, established as the baseline. The empirical draw hit rate is used when analyzing lottery database statistics to see if individual balls are appearing near their expected theoretical average of 10.91%. With the given example, #55 exhibits a performance rate of 11.84% / 10.91%, or 1.0852%. This is interpreted as #55 is performing 8.52% above expected baseline.
The value of empirical Draw Hit Rate varies depending on actual data; while the theoretical draw hit rate of 10.91% is constant. For the purpose of this study, the Frequency Rate will refer to the empirical draw hit rate; while the Draw Hit Baseline will refer to the theoretical draw hit rate.
Theoretical Probability
Earlier, you were introduced to theoretical probability, which is the metric that establishes probability baselines. In contrast with emprical probability, theoretical probability is not measured using actual historical data; instead, it is measured based on given physical and mathematical properties, such as, in the case of 6/55 lottery system:
- There are 55 balls inside the tumbler.
- Six balls are drawn out from the tumbler to determine the winning numbers.
- One ball represents a lotto number.
- One winning combination is determined for each draw.
- There are 28,989,675 possible combinations that can be formed from a 6/55 lottery system.
Theoretical metrics remain constant regardless of actual or historical data present.
Jackpot Probability (Baseline 0.00000345%)
Jackpot probability measures the chance (jackpot odds) of getting a complete 6-number combination exactly right in one attempt to play the game. In other words, the chance of your 6-number ticket to win the game. Look at it this way: "If I buy one ticket containing 6 numbers, what is my chance of matching all 6 and winning the jackpot?"
In a 6/55 lottery system, 28,989,675 unique combinations can be formed. Each possible combination has a chance to win at a percentage of 0.00000345%, computed as 1 / 28,989,675. Call this baseline as your ticket level odds or chance of winning.
Draw Hit Baseline (10.91%)
In a 6/55 system, 6 distinct numbers are drawn out of 55. The fair chance of any single number being drawn in a given draw is 10.91% calculated as 6 / 55. You can call this draw hit baseline as your single ball level odds or chance. You can also refer to this figure as the average frequency odds.
Single Ball Hit Rate (Baseline 1.82%)
Related to the draw hit baseline is the single ball hit rate per draw which measures the chance of a single ball landing in one of the 6 drawn slots. It answers the question: "If I select one specific number (e.g., #55), what is the chance that it will appear among the 6 balls drawn?" This baseline is calculated as 1 / 55, or 1.82%. For the purpose of this study, the Draw Hit Baseline will be used consistently over the single ball hit rate. Basing each lotto number's performance from either of the two will result to the same metric.
Margin of Error
The margin of error is calculated separately for each type of study. The MOEs are discussed in later chapters.
Frequently Used Terms
Be familiar with the terms that are commonly used in this report. Some of the terms are those that are mostly used in the field of statistics; but some are redefined for the purpose of this study.
- Probability
- Probability is the mathematical measure of how likely an event is to occur, expressed as a number between 0 (impossible) and 1 (certain). You can calculate it by dividing the number of favourable outcomes by the total number of possible outcomes.
- Empirical Probability
- Empirical probability, also known as experimental probability, is the actual ratio of an event's occurrences to the total number of trials conducted in a real-world experiment. It is a metric calculated by dividing the number of times an event actually occurs by the total number of trials performed. It requires real-world data collection, physical testing, or historical tracking. In the case of a lottery, the actual draws are referred to as the trials and the lottery itself is the experiment. For the reason that we are dealing with actual and historical data in this study, calculated probability metrics are all empirical.
- Theoretical Probability
- Theoretical probability is based on logic. It relies entirely on known physical properties and mathematical reasoning such as the number of lottery balls. In the case of 6/55 lottery system, there are 55 balls, and in every draw, 6 balls are drawn–and that remain constant forever.
- Law of Large Numbers
- As you increase the number of trials in your experiment, the empirical probability will get closer and closer to the theoretical probability. This is the reason why it is necessary to come up with trending probabilities (Part III of this study).
- Trending Probability
- Calculates probability metrics based on smaller volume of data, especially the most recent ones.
- Frequency
- Generally, it is the count of multiple occurrences of something on a larger scale such as the all-time winning frequency of a lotto number.
- Occurrences
- Similar to frequency but used on a smaller scale such as the occurrence of winning of a lotto number within a short period.
- Instances
- The single or multiple occurrences of something in a much smaller scale or within a contained cohesive group of data such as the instance of odd numbers in a combination.
- Frequency Rate
- The frequency odds or probability rate of a lotto number to win several times over a number of actual draws.
- Rank
- The rank of a lotto number based on its frequency of winning. It is in percentage form but usually written without the % symbol. The higher the percentage value, the higher the rank.
- Delimiters
- Delimiters are parameters that set the boundaries between what’s probable or not. Other similar terms related to this are bounds, thresholds, upper and lower limits; or minimum and maximum limits.
- Distance
- With the lotto numbers in a combination arranged numerically, distance refers to the difference between two consecutive lotto numbers. For example, the distance between 12 and 21 is 9; i.e. 21 minus 12.
- Age
- An age value refers to the elapsed days between a lotto number’s two instances of winning. For lottery drawings that are not held everyday, days refer to the number of draws. For example, if a lotto number won on a Monday, then again on Friday, age is 4 (3 elapsed days plus 1). Either you count Monday to Thursday; or Tuesday to Friday.
- Temperature
- Temp, short for temperature, determines the present hot or cold condition of a lotto number. It counts the number of draws that have elapsed since the last time the lotto number has won. The higher the number, the colder it is. For example, if the temp of #55 is 8, it means that it has not been winning for the last 8 draws.
- Trends
- Trends are probability data based on a shorter period called trending period.
- Trending Periods
- Trending periods refer to the 6 to 30 most recent draws. Trending periods reveal where winning numbers usually come from.
These terms, together with the rest of the terms that where not listed here, are explained further in the chapters where they will be introduced.
All-Time Statistics
Determining what's probable
In all-time statistics, a larger volume of the data are sampled beginning from the results of 19 April 2010, which was the very first Grand Lotto draw, up to the date stated on this section. As of this writing, more than 2000 actual results were studied. From time to time, the data are updated, therefore, you might see the values of statistics slightly changing. Should there be a change, it would not be significant because of the large volume of data (Law of Large Numbers). Rest assured, therefore, that whatever probability standards that would be established here, will remain as is for a number of years.
Data That Comprise The Study
Presenting below are the data that cover all studies from hereon up to the end of the report. All metrics that will be discussed in different chapters are based on these data.
The feed that follows show the three basic metrics that you have to know regarding a 6/55 lottery system: number of all possible combinations, odds of winning the jackpot, and the baseline probability. Also shown are the number of draw results that are covered by the studies and the dates of draws that span the studies.
Fig 2.01 Data Quick Metrics
Next is a list of the Grand Lotto 6/55 actual draw results starting from 19 April 2010, the very first draw, up to whatever is currently on record as indicated on the list. The list is in chronological order, the latest draws on top.
Fig 2.02 Chronological Past Results of Grand Lotto 6/55
In case, not all results are showing, you may also find the list on this page Historical Results of Grand Lotto 6/55.
What Makes A Combination Probable
Increase the potential of your combination
Have you ever wondered why most of the time, only one emerges as a lotto winner? Considering a million combinations played by thousands of players, if not millions, one wins solely, which means he was holding a combination that no other played but him. Therefore, if we are going to think logically and hypothetically, to increase the potential of our combinations, they should rather be unique; i.e. they should have never won before.
In this chapter ~
- We will present the data to prove that, so far, all combinations that have won are unique. None has won more than once.
- We shall also provide a list of Grand Lotto 6/55 results history that you can use to check if the combinations you wish to play have already won before.
Your Own Combination Should Be Unique
Now, let's look at the data. More than 2,000 winning combinations were examined (up to the date as shown previously) to determine if there were combinations that had won twice or more. The result: none, so far! That being said, strategically, to increase the potential of your combination to win, you must be holding a unique combination. However, how can you possibly ensure that you are holding a unique combination if you have no knowledge of what people are actually betting? There are a few ways, not absolute, but helpful. But, first, let's look at the data.
Following is live data based on the current database stored on our Google Drive. The app automatically determines if there are any combination that has won more than once each time a new winning combination is added to the database. If there are, the winning combination will be listed below together with the date it was drawn. If none, it prompts a message that says: "So far, all winning combinations are unique."
Setting the First Standard
Fig 2.11 Live feed: Grand Lotto 6/55 winning combinations that won more than once
Forming A Combination That Has Never Won Previously
To help you with ensuring that your combinations have not won before, we are listing below all the results of Grand Lotto 6/55 arranged numerically. Refer to this historical list to check your own lotto combinations.
Fig 2.12 Numeric order of Grand Lotto 6/55 Past Winning Combinations
Refer to this list —
- To check if your old ticket had won previously;
- To check if the combination you wish to play has not won previously. If not, might as well combine other numbers;
- Form a combination between two winning numbers to ensure that you are playing a combination that has not won yet.
As regards whether your combination is entirely unique, i.e. no other player is betting on it, you may find the following strategy helpful. It is not absolute but better than none.
- Together with your favorite combinations, mark at least one Lucky Pick (system-generated combination) on your bet card. Hypothetically, lottery systems do not generate the same combination twice or more.
- Do not share your combination with someone else unless you are absolutely positive that your numbers are going to win.
- Play early to ensure that your combination will not be system-generated for others to play.
If the list is not showing completely, check out this page: History of Grand Lotto 6/55 Winning Combinations. This page also auto-generates combination that have not previously won.
Winning Performance of Numbers
How your numbers are doing
If the same lottery number keeps on winning, does it mean that it is going to win all the time? Later, you will find out the irony that a frequently winning number does not win all the time. At a certain point, it stops winning. Moreover, if certain numbers win all the time, you can speculate that the lottery is biased — that is, not at all random. On the other hand, a dormant number will surprisingly win again and even trend.
In this chapter, you will find out ~
- Which numbers are more frequently winning than others.
- Learn the performance rates of each number.
- Find out if top performing numbers constantly win all the time.
- What comprises a winning combination: top or bottom or a mix.
Probability Metrics
There are two types of probability: theoretical and empirical. Empirical probability is based on actual data; while theoretical is not. Theoretical is based on logical perspective using parameters that already exists or constant, rather than variable. You can look at theoretical probability as the true and expected probability. On the other hand, empirical probability, though based on actual data, is considered an estimate of the true probability. You can look at empirical probability as the observed probability. The theoretical and empirical probabilities are measured differently, and both are used to measure the performance winning rates of the lottery numbers.
Theoretical Probability: The Expected Rate or Baseline
Theoretical probability is based on attributes that already exist such as:
- There are 55 numbers in this lottery; no more, no less. These are numbers 1 – 55.
- Six numbers are drawn out from every lottery draw; therfore, each number has 6 chances of being drawn out. Thus, 6/55.
- There are 28,989,675 possible non-repeating combinations where order is not important that can be formed from numbers 1 – 55.
To calculate the theoretical probability
In a 6/55 lottery, 6 numbers are drawn from a pool of 55. For every draw, 6 balls or 6 numbers are drawn out to make the 6 winning numbers. This means that every number has 6 chances to be a winning number. Based on 6 chances of each of the 55 numbers, we calculate the theoretical probability (TP) of each number as:
To substitute:
TP = 6 / 55 = 10.909091%
On average, therefore, we expect each number to win at 10.91% probability. This probability rate serves as our baseline.
Empirical Probability: Observed Rate
In contrast with theoretical probability, empirical probability is relative to actual data. Thus, the empirical probability rate of each number varies depending on the volume of data being sampled. To calculate for the empirical probability, we simply divide the times of outcome over all data collected. In other words, in case of a lottery, it is the times of winning of each number over all results gathered. For example, say #55 won 260 times out of 2,182 drawings, then 260 / 2,182 = 11.92% is the empirical probability. Note, however, that empirical probability is not constrained to solely frequency of winning. For the entire studies, we will be using more of empirical metrics for the reason that what we measure is based on actual data.
Performance of Grand Lotto 6/55 Numbers
It is not enough to know how often a number wins, but more importantly is how it is performing. To measure the winning performance rates of each number, we need both the theoretical and empirical probability figures. First, we need to count how often does each of the numbers 1 – 55 win.
Winning Frequency of Grand Lotto 6/55 Numbers
We have counted every winning times of each of the numbers 1 – 55 from the database of results to find out which numbers are frequently winning. The results are presented on the following chart. The data are based on lottery results from 19 Apr 2010 up to a date indicated at the beginning of this report. If this excites you, wait until you see the next stats.
Fig 2.21 Grand Lotto 6/55 All-Time Winning Frequency of Numbers
Now that we already have the data for the winning frequency of each Grand Lotto 6/55 number, we can now measure each number's probability hit rate, and its performance.
Performance Rates of Each Number
The performance rate is calculated as the probable frequency rate divided by the expected frequency (baseline) minus 1. The result is either a positive or a negative performance rate. To make things simple and clearer, we would refer to the empirical probability as Draw Hit Rate; and Baseline as the theoretical probability rate.
To calculate the performance rate of each lotto number, we use the formula:
To illustrate: Say, #55 has won 260 times out of 2,182 draws, the calculated draw hit rate is 260 / 2,182 = 11.92%. (Remember that empirical means it is based on actual data.)
The performance rate of #55 therefore is: (11.92% / 10.91%) - 1 = 9.23%. This means that #55 is performing well because it is above the expected probability of 10.91%. (If the performance rate is 0%, it means that it has reached its 10.91% goal.)
The following table presents how each number has been performing so far.
Fig 2.22 Grand Lotto 6/55 Winning Performance of Numbers
- The table lists the lotto numbers based on their performances, top performers on top.
- On the first column, you will find the 55 lotto numbers divided into 6 pages. Why 6? The idea is to select 5 pages. On one page, you pick 2 numbers; and from the remaining 4 pages, you pick 1 number. An option is to pick 2 numbers from 2 pages; and 1 from the remaining pages.
- On the 4th column All-Time Win, you will find how many times a number has won so far (draw hits) based on all results sampled.
- The next column, Hit Rate calculates the frequency odds (probability rate) based on the winning frequency over all results.
- The last column calculates the performance rates ( [Hit Rate / Baseline Rate] minus 1). This gives you an idea how each number has been performing so far. The values are either a positive (performing well) rate or negative (not performing well). If it is above the Baseline Rate of 10.91%, it means that it is doing well. If it is below the baseline, it means that the number has to catch up to reach the expected rate of 10.91%. A zero performance rate indicates that it has reached its baseline target.
- There is an extra column, Age, which indicates how long has the number not winning. Age counts the number of draws that have lapsed. A lower value (1–6) means that the number is currently trending; a higher value indicates that the number has not been winning frquently.
- Another extra column is the Wins Last 30, which is the winning frequency from the last 30 draws. It indicates how the numbers are doing currently; which ones are trending and which are not.
How To Pick Your Numbers
Ideally, you pick a number with a top performing rate. If there are too many to choose from, you qualify it by its current status, which are: how the numbers are currently doing (Wins Last 30 Draws); and how old has it not been winning (Age). For example, if a number has won 3 times and its age is either 1 to 6, then it is a good number. On the other hand, a number may have won 3 times, but its age is 12, then its potential to win currently has lessened despite its high performance rate. Remember, however, that in randomness, rules break the rules. Not every winning number had positive performance rates; therefore, you bend the rule by also picking, at least one, number with negative performance rate.
It is now up to you how you will pick your numbers. Will you go for the top performing numbers; or a mix of good, average and low? Just think of this way: Think of all the numbers racing against each other to reach a common goal, which is to achieve the baseline 10.91%. For that reason, low-performing numbers have to win at one point in order to catch up. Otherwise, if top performers win all the time, it will raise a speculation that the lottery draws are biased, i.e. not at all random.
Some tips based on observation
- Winning numbers are a mix of 10s, 20s, 30s, etc.
- Winning numbers are a mix of top, average and not-so-good performance.
- Winning numbers are mostly a mix of trending and not-so-trending numbers. Trending numbers are those with 1 – 6 age values. Not-so-trending numbers are those with 7 – 15 age values. Cold numbers are those with greater than 15 age values; i.e., those that have not been winning for the last 15 draws. If a number has passed this 15 mark, most likely that number will hibernate for a long time. At rare times, a winning combination can include one cold or hibernating number.
Setting the Standard #2
If you have read the probability report for Ultra Lotto 6/58, you must have learned that a winning combination is composed of a mix of top winning numbers, low performing numbers, and those in between. Thus, for Grand Lotto 6/55, we establish the same standard that a winning combination is not all top performing numbers but also include those that are not performing well and those that are performing on an average.
Probable Patterns
Discovering patterns and sequences
It is a common question if low numbers win more often than high numbers; or odd numbers versus even numbers. If you have read the probability study of a 6/58 lottery system, perhaps, you would already have an idea as to which type of numbers win more often. Nevertheless, let us look at the data.
First, let us establish which numbers of a 6/55 lottery system are low or high.
- Low numbers are: 01 – 27
- High numbers are: 28 – 55
A previous study covering 1,646 results done in April 2021, revealed the following probable and less probable low:high and odd:even patterns.
It is consistent that 2:4 or 3:3 or 4:2 odd:even and low:high ratios have the higher probability rates. This is also true for the 6/58 lottery system. Note that each pattern has no regard of the positions of the odd, even, low, or high numbers. For example: the 3:3 LLLHHH ratio also covers the patterns LHLHLH, LHHHLL, HLHLHL, etc; provided that there are 3 low numbers and 3 high numbers in the combination.
Now, let us measure again the data after more than 4 years.
Odd Versus Even Numbers
As of this writing, the following data are based on 2,188 Grand Lotto 6/55 winning combinations. However, for the reason that the data is based on live feed fired from an online Google Sheet file, figures might slightly change as new results are added to the database. Thus, you might find the figures on the chart inconsistent with what was written. Nevertheless, we are very positive that the probable ratios will remain the same for a number of years.
Probable Odd:Even Ratios, Grand Lotto 6/55
The odd-even patterns may not be that significant in this probability study. Nevertheless, it is interesting to discover that the most common odd-even combinations are:
- 3:3 — 3 odd numbers together with 3 even numbers at 33.5% probability.
- 4:2 — 4 odd numbers with 2 even numbers at 24.7% probability.
- 2:4 — 2 odd numbers with 4 even numbers at 22.3% probability.
While the least common odd:even patterns or sequences are:
- 5:1 and 1:5 — The instances of 5 odd numbers or 5 even numbers have less than 10% probability.
- Straight 6 — All 6 odd or all 6 even numbers have the least probability — only around 1%.
Note that the ratios have no regard to the position of the odd and even numbers. The probability is based on instances regardless of the order of numbers.
Compared with the 2021 stats, though the percentages slightly changed, the probable and improbable ratios remained the same. We are confident, therefore, that these metrics may not significantly change no matter how much we add to the results.
Low Versus High Numbers
We have defined lottery numbers 01 – 27 as low numbers; 28 – 55 as high numbers. Based on the 2021 data, most common and least common low and high number combinations are:
- Three low numbers and three high numbers (3:3 ratio with 33% probability percentage).
- Other better chances are either 4 low numbers (4:2) or 4 high numbers (2:4) with a probability of 22% and 25% respectively.
- In very rare cases, 5 low numbers (5:1) or 5 high numbers (1:5) are also possible with 7% and 8% probability respectively.
- At a very low probability of 1%, there were 23 cases when all winning numbers were all low numbers (6:0); and another 23 cases of all high numbers (0:6).
The 2021 data were based on 1,646 winning combinations.
Now, let's find out how much has changed for the low:high number ratios after 4 years.
Probable Low:High Number Ratios, Grand Lotto 6/55
Likewise, the probable and improbable ratios of low to high numbers, compared with the 2021 stats, have remained the same even if we added over 500 new lottery results. The rates may have slightly changed but their significance remained intact.
What's interesting is that the odd:even ratios are consitent with the low:high ratios. It is even consitent with the same ratios for a 6/58 lottery system that we also studied. We guess, that these ratios will be likewise consistent with the other lottery systems such as 6/42, 6/45, and 6/49.
In A Nutshell
Standard #3
- Winning combinations usually consists of 3 odd numbers and 3 even numbers. More than a third of all results studied exhibited 3:3 odd-even ratio.
- Next to the most probable 3:3 ratio are either the 2:4 ratio or 4:2 ratio; which means 4 odd numbers or 4 even numbers. More than a fourth of all results exhibited either 4 odds or 4 evens.
- Same is true for the low to high number ratios. The low-high ratio 3:3 is the most common; followed by either 4 low numbers or 4 high numbers.
- Though having 5 odd numbers or 5 even numbers are possible to win, it is a rare case at less than 10% probability. This is also true for low to high number ratios.
- Combinations with straight 6 odd numbers, or 6 even numbers are extremely rare. Possible but almost improbable. Likewise is true for the low to high number ratios.
Constraints and Delimiters
Not all possible combinations are probable
There are 28,989,675 possible combinations that can be formed from a 6/55 lottery system. However, not all of these possible combinations are probable. Establishing certain constraints limit your choices as to which numbers you can combine. For example, how probable is this combination to win: 50 • 51 • 52 • 53 • 54 • 55? Maybe very low for the reason that the smallest winning number on record in a combination is less than 40. With 50 being the smallest number make this combination unlikely to win a jackpot.
What about this combination: 1 • 2 • 3 • 4 • 5 • 6, the sum of which is 21? How probable is for this combination to win? On record, it is improbable for the reason that the smallest sum of a combination is 35.
Calculate the differences between these numbers: 1 • 11 • 22 • 33 • 44 • 55. The differences between all two consecutive numbers in this combination are: 10, 11, 11, 11, 11. Does this combination have a potential to win? On record, it has zero probability for the reason than no 5 gaps can be solely between 10 and 19.
In this chapter, we explore the probable combination of numbers by establishing the limits and constraints based on statistics when combining lottery numbers. We dig deeper into:
- The bounds (lower and upper limits) of a combination. How small is the smallest number and how large is the largest number?
- The range of numbers in a combination assuming an ordered position.
- The probable sum of winning numbers per combination.
The Prerequisite
In order to establish the constraints and delimiters in forming a lottery combination, the winning numbers of every draw should be re-arranged numerically—that is by arranging the numbers from smallest to largest. For example, these 1 Oct 2025 result of ~
| 46 | 34 | 13 | 20 | 01 | 17 |
would be arranged numerically in ascending order:
| 01 | 13 | 17 | 20 | 34 | 43 |
The Probable Lower and Upper Bounds
Setting the minimum and maximum numbers in a combination
The following data can give you an idea the probable range or span of lotto numbers that usually make it to the jackpot.
Understanding the Data
The above data is a snapshot of a complete set of data. The first table calculates the winning frequency of each number assuming a numerical order of smallest to largest. The first column L# lists the lotto numbers 1 – 55. The succeeding columns count the frequency of the corresponding lotto number assuming in the smallest to largest numerical order. The succeeding columns 1st to 6th calculated the frequency of winning of each lotto number.
To illustrate on how to understand the table
Take for example, lotto #2. If #2 is the smallest number in your combination, there's a 9.8% chance that it can win. However, if #2 is your second smallest, the chance is only 1.2%. Therefore, it is better to have a combination such as this:
where #02 is your smallest number rather than
where #02 is in the second position (or second smallest) rather than the first.
In another perspective, examine lotto #22. If #22 is your favourite number, it is more likely to win if it is your 2nd, 3rd or 4th number because making it 1st, 4th or 5th has lesser probability. Perhaps 15 • 22 • 24 • 30 • 33 • 40 is much better than 22 • 24 • 30 • 33 • 40 • 55.
To illustrate further.
Examine lotto #07. If you have number 07 in your combination, make sure that it is your smallest number (5.7% probability) such as:
(Sep 20, 2025 result)
Making #07 your second smallest is not bad either with a 3.6% probability such as this winner on 8/25/25:
where #07 is the second smallest.
However, making #07 your 3rd smallest is almost improbable with only a 0.7% probability; but it can happen such as on 25 June 25:
which is considered as an extraordinary combination. Forget it making #07 the 4th or 5th smallest; or the largest of all 6 numbers for the reason that its probability is 0% – 0.1%.
Following is an updated list of all the 55 lotto numbers and their corresponding frequency of winning. It covers results up to 2026. The figures change each time a new result is added to the database.
Fig 2.41 Winning Frequency based on smallest to largest order
Setting the Lower and Upper Limits for a 6/55 Lottery
To summarise the statistics just presented, the following data sets the standards of how low or small your first number should be; and how high or large your 6th number should. These parameters assume that the numbers of your combination are arranged smallest to largest.
There are 3 sets of probable ranges presented.
- The first set excludes all 0% probability but includes all those with lower probabilities. These are the minimum and maximum limits.
- The 2nd set excludes all probabilities that are less than 2%; thus the number ranges are narrower compared to the first set. Use this if you want your combination to have better potentials without risk.
- The 3rd set excludes all probabilities that are less than 1%. Use this if you want to take a little risk.
Fig 2.42 Lower and Upper Limits
To illustrate how to apply the data using the 2nd set above, which excludes those less than 2% probability ~
- Your 1st number should be any between 1 and 15.
- Your 2nd number must be higher than your first number but not higher than 26 and lower than 03.
- Your 3rd number must be higher than your 2nd number but not higher than 37 nor smaller than 11.
- Your 4th number should be higher than your 3rd number but not larger than 45 nor lower than 19.
- Your 5th number should be higher than your 4th number and can only be between 28 and 52 inclusive.
- Your 6th or largest number should be between 38 and 55.
Updated Probable Range of Numbers
Based on the updated data of 2026, the probable range of numbers showed minimal changes. If you prefer a 92% – 97% probability, opt the second probable ranges. These range of lotto numbers disregarded the less than 1% probability
| Position | Order | 99-100% Prob | 92-97% Prob |
|---|---|---|---|
| 1st | Smallest number | 01 – 39 | 01 – 20 |
| 2nd | 2nd smallest | 02 – 43 | 02 – 31 |
| 3rd | 3rd smallest | 03 – 50 | 08 – 39 |
| 4th | 4th smallest | 06 – 52 | 14 – 50 |
| 5th | 5th smallest | 13 – 54 | 24 – 54 |
| 6th | Largest number | 20 – 55 | 36 – 55 |
Following is the same set of data that excludes the 1% or lesser probability. These data are updated from time to time.
Probable Sum of Winning Numbers Per Combination
Adding the numbers of your combination
To make the probable range of lotto numbers stronger, we add another layer of restriction—the probable sum of winning numbers. It simply adds together the numbers of a winning combination. Done with every winning result, we establish what the common sums are. So long as the sum of the numbers in your combination is within the probable sum, your numbers are good. Following is the result of the metrics.
Fig 2.43 Probable Sum of Numbers Per Combination
| Central Tendency | Sum | ||
|---|---|---|---|
| Minimum | 35 | — | — |
| Maximum | 290 | — | — |
| Median | 169 | — | — |
| Mean | 169 | — | — |
| Mode | 160 | 34 occurrences | — |
How to use the data
Generally, if you are going to add all the numbers in your combination, its sum should be between 35 and 290 inclusive. (This range may slightly change as new results are added to the database). Any value beyond that is considered improbable. The most ideal sum is anything between 123 and 210 inclusive (75.46% probability). To capture an even greater probability, make your sum between 101 – 232 inclusive for a 91.68% probability. The least common sums are from 35 to 100 and 233 to 290. Any sum lower than 35 or higher than 290 is yet not probable.
A useful tip is to stay close to the basic metrics such as the median, mean and mode. Say, the median is 169, adding or subtracting 1 or 2 or 12 or 21 from it makes it a safe sum. The range of sums presented above has a 21 interval.
In A Nutshell
Setting the standards based on delimiters
It is not enough to just pick any number and combine it with others. When forming a combination, there are numbers that you cannot just pick randomly. It is ideal to know which ones are probable and which are not. So, what spans a potential combination?
Standard #3: A Winning Number is Delimited By Lower and Upper Limits
Each winning number is delimited by certain lower and upper limits established by metrics using historical data. There are 2,066 cases where the smallest number in every combination is any from 1 – 20. There are only 82 cases where the smallest is any from 21 – 26; and 40 cases where the smallest is any from 27 – 39. Any number beyond 39 does not exist yet. Therefore, to increase the potential of your combination, limit your choices to 1 – 20 as your first smallest number. If you want to take risks rather than play safe, you can pick any from 21 – 39 but not greater than that. Refer to the data above to determine the threshholds of your numbers.
So what spans a typical combination? Based on the data that we have just presented, a combination should be between:
Minimum and Maximum Spans of Numbers of a Combination
| 01 | 02 | 03 | 06 | 07 | 12 |
| and | |||||
| 39 | 45 | 50 | 52 | 54 | 55 |
On record, however, the smallest and largest combinations that have won so far are:
| 20 Feb 2012 | 01 | 02 | 03 | 28 | 29 | 33 |
| and | ||||||
| 09 May 2011 | 39 | 41 | 49 | 51 | 52 | 55 |
Forming Your Combination
- Form your combination in the smallest to largest order.
- Starting from your smallest number, pick any from 1 – 20.
- For your 2nd smallest number, pick any from 2 – 31 but higher than your first number.
- For your 3rd smallest number, pick any from 8 – 41 but higher than your second number.
- For your 4th number, pick any from 14 – 50 but higher than your third number.
- For your 5th number, pick any from 24 – 54 but higher than your fourth number.
- For your 6th number, pick any from 36 – 55 but higher than your fifth number.
Once you have formed your combination, check this list — Grand Lotto 6/55 Historical Data — to find out if your combination has won from any previous draw. If it did, tweak your combination a bit. Adding or subtracting 1 from any of the 6 numbers would do the trick. Why check? Remember Standard #1 — your combination should be unique from all the rest.
Standard #4: A Winning Combination is Delimited By a Probable Sum
By delimiting the possible combinations with the minimum and maximum spans of numbers, we have eliminated the combinations that are least probable. We can further narrow down our choices by delimiting our combinations with the probable sums.
We added every 6 numbers of every combination in our database. We found out that the sum of all numbers in every combination ranges from 35 - 290. Therefore, beyond this range is not yet probable.
If you want to play safe, play your combinations within this sum range 101 – 232. There are 2,006 cases, so far, out of 2,188 winning combinations gathered where the sums of the numbers are from 101 – 232, capturing 91.68% of all results gathered.
Probable Number Gaps and Spans
Determining the next number
Perhaps you'd been wanting to know, after choosing a number, what could be the next number that you should choose. Say your first two numbers are #01 and #13. Which number could possibly be next to increase the potential of your combination? In this chapter,
- We determine the distances or gaps between any two numbers in a combination by calculating their differences; i.e. subtracting the smaller number from the number next to it. This assumes, of course, that the numbers of a combination are arranged numerically from smallest to largest.
- Based on probable gaps between two consecutive numbers, we establish the span of numbers that make an ideal combination.
- Together with the delimiters discussed in Chapter 4, we increase the layer of potentiality of your combinations.
Presenting below are the set of data which are the result of the various metrics that we used to determine the probability of gaps and spans.
Gaps and Spans Metrics, Grand Lotto 6/55
This is a snapshot of the spreadsheet where we measured the gaps and spans metrics of every combination in our database. The first set of data shows the calculated distances or differences, also known as gaps between numbers. The 3rd set of information summarises the data of the first set. You can see there that the smaller the value of the difference, the better or the greater the probability.
Probable Differences Between Two Consecutive Numbers
What is the ideal gap between two consecutive numbers
Assuming the winning numbers in every combination are ordered smallest to largest, the distance is measured as the difference between two consecutive numbers, i.e. the larger number minus the smaller one. So, what is the ideal gap between two numbers?
Fig 2.51 PROBABLE DIFFERENCES BETWEEN CONSECUTIVE NUMBERS
Understanding the data
We sorted every combination smallest to largest, then calculated and collected every difference between consecutive winning numbers. The result is presented in the column chart just preceded.
The chart exhibits that the common differences between consecutive numbers were any number between 1 and 40 inclusive; where the most common is 1; and the least common is 40. Notice that the smaller the amount of difference, the greater the probability.
To illustrate, say your first number is #01, the next number to it cannot be #42 because if you calculate the difference between the two, the result is 41 (42 - 1 = 41), which is outside the probable range of 1–40.
However, if one (1) is the most common value of differences, would you make a combination such as this:
| 1 | 2 | 3 | 4 | 5 | 6 |
| or | |||||
| 30 | 31 | 32 | 33 | 34 | 35 |
where the distances between consecutive numbers are all one? Maybe not; for the reason that statistics dictate that the sum of distances should be any value between 11 and 54. In the example given, the distances between the numbers are 1-1-1-1-1 or a total of 5, making this type of combination improbable.
The Probable Sum of Distances
In the first set of data presented previously, the value of the distances for every combination are all added together to determine their sum. You can see those figures under the column Sum. The minimum sum measured was 11; the maximum was 54. Following is a summary of the calculated sum of distances. This is live feed from our database; thus, it updates automatically each time new results are added.
Fig 2.52 PROBABLE SUM OF DISTANCES
To make it easier to remember, I classified the sums into:
- 11 – 19 (2.1% probability)
- 20 – 29 (10.2% probability)
- 30 – 39 (29.4% probability)
- 40 - 49 (47.3% probability)
- 50 – 54 (11.1% probability)
Observe that the most ideal sum is any number between 40–49, followed by 30–39. Any sum less than 11 or greater than 54 is improbable.
To illustrate
Let's take the 7 October 2026 result arranged numerically.
| 7 Oct 26 | 06 | 12 | 23 | 26 | 31 | 46 |
|---|---|---|---|---|---|---|
| Difference | 06 | 11 | 3 | 5 | 15 | 40 |
The differences between the winning numbers are all within the 1–40 bracket. The sum of 40 is within the 40–49 47.3% probability bracket.
Following is the October 2025 data. Notice that there were only slight changes in the figures. The significance of the probability, however, remains the same.
The 2025 statistics show that if the sum of the numbers in a combination is between 40 and 49 inclusive, the probability is greater. If the sum is less than 20, the lesser the probability. These data are based on 2,033 results. If you see any discrepancy with the chart above, it only means that the volume of data has been updated.
Probability of Multiple Distances
Multiple distances refer to values that are exactly the same. There are distance values that are unique such as this result:
| 27 Sep 2025 | 02 | 21 | 30 | 32 | 37 | 45 |
On the other hand, there are also multiple distance values such as this one:
| 6 Oct 2025 | 14 | 19 | 21 | 27 | 51 | 53 |
The next question is: which is more probable—having unique values or multiple values? Let's look at the statistics.
From the same image just presented, you would see the Frequency of Multiple Distances. The description of the different types of forms or patterns are as follows:
- U, Unique (52% probability) — The distance values are all unique; no duplicates or other multiple types. For example, 1-2-3-4-5 is unique; while 1-1-2-2-3 is not. This pattern is the most common.
- D, Double (40% probability) — Double means that there are two values which are equal. For example: 1-1-2-3-4 where there are two 1s. This pattern is the second most common.
- T, Triple (3% probability) — Triple means that there are 3 values which are all equal. For example: 1-1-1-2-3 where there are three 1s.
- 2D, Two Doubles (3% probability) — This means that there are 2 sets of doubles. For example: 1-1-2-2-3 where 1s and 2s are doubles.
- TD, Triple + Double (0.25% probability) — This means that there is a mix of a double and triple values. For example: 1-1-2-2-2 where there are two 1s and three 2s.
- Q4, Quads or Quadruplicate (0.05% probability)— Quads means that there are 4 values which are all equal. For example: 1-1-1-1-2 where there are four 1s. This is a rare combination that has happened only once. On 19 Dec 2015, the winning numbers, in numerical order, were: 17 • 22 • 27 • 32 • 37 • 49. Calculating their distances, the result is: 5-5-5-5-12.
- P5, Quints or Quintuplicate (0.05% probability) — Quints means that all 5 values are equal. For example: 1-1-1-1-1. This is very rare and so far, it has happened only once. On 1 Oct 2022, the winning numbers were, in numerical order: 09 • 18 • 27 • 36 • 45 • 54. Calculating their differences, the result is: 9-9-9-9-9.
Following the Unique and Double pattern distances, your numbers are considered safe and very probable with a combined 92% probability. Note, however, that even if these patterns have high probability rates, your numbers are still competing with millions of other unique and double pattern distances.
The stats just presented is based on 2,033 results covering draws up to 6 Oct 2025. Should more results are added to the database, the following interactive chart would present the updated values.
Fig 2.53 PROBABLE DISTANCE Patterns
Following is a live feed from our database. The chart shows which pattern or distance sequences are more probable.
Which Value To Double
Now that you know that unique and double patterns are the most common distance patterns, the next question is: Which value do you usually have to double? Look at these data.
Fig 2.54 INSTANCE OF DISTANCES PER COMBINATION
A live feed data is shown at the end of this section.
Understanding the data
The value of distances were classified into number groups such as:
- 1 – 9 (there's no zero distance)
- 10 – 19
- 20 – 29
- 30 – 39
- 40 – 50
The row labels 0 – 5 refer to the existence of number groups in a combination where zero means none of the groups exists; 1 means one count; 2 means 2 counts, etc. For example, if the distance values are 10-20-21-30-40 where 20 and 21 belong to the same group 20-29, that means 2 counts for 20-29 group.
The data tells us that:
- Values 1 to 9 can exist 2 to 5 times in a combination but the most common are 3 and 4 (44% and 37% probability). For example: 1-2-3-10-11 or 1-1-2-3-11 where values 1, 2, 3 all belong to number group 1–9. In some cases, there can be up to 5 instances such as: 1-3-3-5-4. There were only a few cases where 1–9 existed only once such as: 1-10-11-12-13. What you have to remember here is that all results sampled contain at least one value from 1–9. Moreover, differences of 1–9 are more likely to result to doubles.
- Distance values of 10 to 19 can exist once up to 2 times (38%, 29%). Rare cases are 3 counts (9%); 4 and 5 are almost improbable. On the other hand, it is also probable that 10–19 do not exist. It is also possible for 10–19 to double.
- Distance values of 20–29 are most common if they do not exist (69%). If they exist, there is usually only 1. For example: 1-2-21-3-4.
- Distance values of 30–39 rarely exist (only 3% probability). Almost all results do not have 30–39 (96% non-existence).
- Lastly, distance values of 40–50 are considered improbable (100% non-existence).
Update Live Feed of Probable Multiple Distances Per Group
The legend 1, 2, 3, 4, 5 refer to multiple instances where 1 means that it appears only once, 2 means two times, 3 is 3 times, etc.
Exploring Further the Distance Metrics
Exploring further the secrets of distances between lottery numbers, following are the same data at a different perspective.
- Valid distance values are 1 – 41. Remember that when you subtract a lotto number from the one next to it (in numerical order), the difference should be any from 1 to 41 inclusive. Anything beyond is out of order.
- The most potential distance values are 1 – 29 with 1 – 9 having a 100% potential; followed by 10 – 19.
- Not all distance values can exist twice in a combination. Values 20 – 29 can most likely exist once. For example: 1-2-3-28-4. This combination, however, is rare: 1-2-3-28-20.
- Values 10 – 19 are most likely potential if there is only one, two or none at all. Having 3 or 4 is rare.
- Values 1 – 9 are the most common which can exist up to 4 times in a combination. It is more common to have 5 than only 1. Your combination should have at least 2.
Specific Patterns of Distance Combinations
If the standards just mentioned look overwhelming, following is a more specific way to look at it.
The first column is the pattern. The description of the digits are explained under Remarks. Let's put it this way: If the values of the distances consist of ~
- 3 values from 1 – 9,
- 32000 (27%) — the other 2 values should be any from 10 – 19. For example: 1-2-3-10-11.
- 31100 (16%) — the other 2 values should be one from 10 – 19; and another from 20 – 29.
- The other possibilities are rare (31010, 30200, etc).
- 4 values from 1 – 9,
- 41000 (22%) — the remaining value should be any from 10 – 19; or,
- 40100 (12%) — the remaining value can also be any from 20 – 29.
- The other possibilities are rare (40010, 40001, etc.)
- 2 values from 1 – 9,
- 23000 (9%) — the other 3 values should be any from 10 - 19.
- The rest are rare or improbable yet.
- 5 values from 1 – 9 (6.8%). This is exceptionally rare (50000) but better than 14000.
- All other possibilities are either improbable or almost improbable.
The second set of data you see just above summarizes the first set of data.
In A Nutshell
- Numbers you combine adhere to certain constraints such as the sum of the numbers, the numerical distance between two numbers, and the range of numbers where you can only pick from.
- The probable numeric space between two numbers are between 1 and 40 inclusive. The narrower the space, the better probability. However, not every distance measure or space (i.e. the difference between two numbers) can exist exclusively. Distance values are a mix of 1 to 39 where 1 to 19 are the most common. If the value of the difference is any from:
- 1 – 9. They can exist 1 to 5 times; but the most common are 3 and 4.
- 10 – 19. They can exist 0 to 4 times but the most common are 0 to 2; i.e. up to 2 time or none at all. For example: 1-2-3-20-21 where 10–19 does not exist.
- 20 – 29. They can exist 0 to 2 times but the most common are 0 to 1.
- 30 – 39. They can exist only once or much better if not at all.
- 40 – 50. They do not usually exist.
Standard #6: Constraints and Delimiters
A potential combination is limited by lower and upper margins, the numerical space between numbers, and the sums of lotto numbers and distances. These constrains and delimiters define the span of your combination.
To illustrate:
Probability of Timing
When Numbers Win Again
Have you ever wondered when your favourite number is going to win after it has not been winning for some time? What if there is a way to count the days when a number can win again? It is not exactly to predict that specific day to win, but only to have an idea as to when numbers usually win again after some time of not winning. In this chapter, we explore the days between two events of each lotto number's multiple wins. For the purpose of this study, we term days into age for the reason that Grand Lotto draws are not held everyday. It is like asking: how old has your number not been winning?
Age of Lotto Numbers Explored
In general, age is the number of days that have passed. For example, if today is Nov 22, it has been 11 days since 11 Nov; in other words, 11 days had passed counting from 12 Nov until 22 Nov. When counting days, we always include the current day. In lottery, we count the same way, except that, for the reason that Grand Lotto draws are not held everyday, we count the number of draws instead of days. Take a look at this figure illustrating the ages of lotto #12.
Fig B5-1. How ages are calculated
On 13 Oct, lotto #12 won. After 3 draws, it won again on 20 Oct. Thus, you see 3 in the corresponding age values. After 2, draws #12 won again on 25 Oct; then on 1 Nov after 3 draws; and again on 12 Nov after 5 draws; and finally on 17 Nov after 2 draws. Age, therefore, for the purpose of this study, is the count of draws when a lotto number did not win plus the day when it won again.
You can look at Age from different perspectives. When referring to past events, age is:
- The count of draws that had passed (without winning) prior to its current win; or,
- The count of draws that had elapsed between two winning instances of a lotto number.
When referring to current status, age is:
- The count of draws that have passed, so far, since the lotto number's recent win; or,
- The count of draws that have been passing without the lotto number winning. It's like asking: how many draws have passed without my number winning?
Just remember when counting, we always include the today's date; or the current win when referring to past results. When referring to the current age, we always include the current day as part of the count.
What is the significance of counting the age?
The purpose of calculating the ages of every lotto number from the past results is to find out if there is significance between every time a lotto number wins and when it does not. Most probably, numerical data will reveal something. So, let's find out.
From the 2051 sampled results, we excluded the first 46 draws for the reason that, during this period, not all yet of the 55 lotto numbers had won. It was only on 4 Aug 2010 when lotto #49 had its first win. Thus, we had calculated the ages from 2005 results. The image just presented gives you an idea what the age data look like. Now, let's summarise the data.
Summary of Age Data
Fig B5-2. Summary of calcualted ages
Rather than showing you 2005 rows of data, presented here is the summary.
Based on the summary, the oldest age that a lotto number stayed non-winning was for 90 draws; and that was with lotto #03 which won on 26 Dec 2012; then on 29 Jul 2013. This is an extraordinary case when a lotto number did not win for 90 draws. In fact, it only happened once. There were other cases when 4 lotto numbers did not win for a long time such as: 62, 66, 67, and 77 draws of not winning.
The list on the left shows only up to 33 draws (a screen shot won't fit all). Notice that the smaller the age value, the higher the probability percentage. This means that each lotto number has the chance to win again in a short time. In fact, as the record shows, 56% of all winning numbers sampled immediately won again within 6 draws. Based on that information, we further explore what the data can reveal.
In the meantime, following is the same data in a chart form, showing all the values of age from 1 to 91. Just by looking at this chart, you can clearly see that, most of the time, lotto numbers win repeatedly within a short period.
Establishing the Colour Zones
Using the same data just presented, we would be able to establish the period wherein we can see the lotto numbers that have better potential of winning. Presenting the colour zones.
Fig B5-4. The Colour Zones
I classified the values of ages by threes to determine which period produces the lotto numbers that have the potential to win; then labeled them with colour. Think of the age values as the number of consecutive draws counting back from the current day to prior draws.
- Purple Zone. Draws 1 – 6. It refers to the six most recent draws. It is called the hot zone because 49.99% of the winning numbers usually come from this period. If half of the winning numbers come from this zone, it means that the other half come from the other zones.
- Green Zone. Draws 7 – 12. It refers to the next 6 draws prior to the purple zone. I call this the underdog zones for the reason that 24.72% (almost a quarter) of the winning numbers come from this zone.
- Orange Zone. Draws 13 – 18. It refers to the next 6 draws prior to the green zone. This is the crossroad zone where numbers decide whether to remain active or take a rest, i.e. to enter the cold zones.
- The Cold Zones (Draws 19 and earlier or older)
- Aqua Zone. Draws 19 – 24. It refers to the next 6 draws prior to the orange zone. This is the first zone in the cold zone where numbers turn cold or cease to be active.
- Blue Zone. Draws 25 – 30. It refers to the next 6 draws prior to the aqua zone. Once a number enters the blue zone, it is officially a cold number. Most likely, it is to remain cold for a longer period.
- Grey Zone. Draws 31 and older. It refers to all draws prior to the blue zone. This is the hibernation period. Once a lotto numbers leaves the blue zone, most likely, it is going to hibernate for a longer period.
The Significance of the Colour Zones
How can the colour zones help you? To play a lottery 6/55, you are on the fence to choose 6 numbers from 55 numbers. The colour zones help you narrow down your choices. For example, you can just pick 3 lotto numbers from the purple zone; one each from any of the past 6 draws. For the other 3 numbers, you can pick one each from any of the other zones. When playing, observation is crucial here. If necessary, make note as to where the winning numbers usually come from.
Determining Which Numbers Belong To Which Colour Zone
How do you know which numbers belong to which colour zone? Here's what it looks like.
Fig B5-5. Zoning of Winning Numbers
Figure B5-5 shows the winning numbers from the 60 most recent draws. On its right, shows the same results but showing only the lotto numbers's recent win. For example, lotto #12 won both on 12 Nov and 17 Nov but it is showing only its recent win, which is on 17 Nov. Lotto #12, together with all the winning numbers in the purple zone are referred to as the trending numbers, which means that they have the potential to win within the next 6 draws.
Lotto #08 both won on 10 Sep and 25 Oct but showing only its recent win, which is on 25 Oct found in the green zone. Lotto #08 has not been winning for the last 10 draws; thus making it a green zone number.
Combining Numbers Based on the Colour Zones
- Pick 3 numbers from the purple zone; one number from each row. Though there are 28 lotto numbers present in the purple zone, it is easier to decide if you only have to pick one from each row. Remember that 50% of the winning numbers usually come from the purple zone.
- Pick another number from the green zone. You have 11 choices. Picking one number from 11 choices is much easier than picking one from 55 choices.
- Pick another number from the orange zone.
- You are now left with one number to choose from. You may take a risk to choose one from the cold zones (aqua or blue); or another one either from the green or orange zone.
Combining Numbers Based on Combined Probability Factors (Fig B5-6)
Fig B5-6. Lotto Numbers by Age, Rank and Trending Wins
The above table chart presents the Grand Lotto 6/55 numbers together with their corresponding combined probability factors such as age, ranking percentage and winning frequency for the last 30 draws. The lotto numbers are divided into 6 groups (shown on the chart as pages) based on their frequency of winning. The data are arranged in descending order with the highest ranks on top.
- The first column lists the lotto numbers 01 – 55.
- The 2nd column shows the lotto numbers's current age status, which means, how long the lotto number has not been winning since their last win. The values refer to the number of draws that have passed. So, for example, if the age value is 7, it means that the lotto number has not been winning for the last 7 draws.
- The 3rd column ranks the lotto numbers in percentage from 1% – 99% based on their frequency of winning. The higher the frequency, the higher its rank.
- The 4th column is the lotto numbers's current winning frequency to which the ranking is based.
Use the above table chart to form your 6-number combination. You have two options:
- Pick one number from each group.
- Pick numbers only from 5 groups; which means that you have to pick 2 numbers from 1 group and none from another group.
Observe the following rules:
- Make sure that no two numbers have the same age value.
- No three or more numbers have the same rank value. Consequently, this also means that no 3 or more numbers have the same frequency value.
- Try it first and make your own observations.
My personal observation is that once a lotto number has reached its maximum win from the last 30 draws, it rests from winning. Once its winning frequency drops, it may start to be active again; otherwise, it is going to rest for a little while in the cold zone.
Setting The Standards
What's Common Or Most Likely
Top vs Bottom Numbers
Do top winning numbers win all the time? To answer this question, the winning frequency of each number were ranked 1% – 99% where 99% being the highest. After every draw, the ranks of the winning numbers were determined, collected and tallied. The result is the data presented following this.
As mentioned previously, not at all times that top winning numbers win all the time. To prove that, examine the next set of data—the top winning numbers are those that usually rank 60% – 69%. In fact, statistically speaking, lottery numbers that ranked 90% – 99% had the lowest probability (8.14%) compared to other ranks. The following data sampled 1364 results from the Grand Lotto.
Top Ranking of Grand Lotto 6/55 Numbers
Notice, however, the percentage of occurrences of each rank group in the total results sampled ranges from 41% – 53%; which means that each rank group shares a fairly 50%, more or less, chance of winning. This statistics will probably be consistent even if the volume of sampled results increases (Law of Large Numbers). Therefore, whether you are playing a top winning number or otherwise, your number has a fair chance of winning. The story changes, however, when ranking is calculated based on a shorter period.
In Part III, Trend Probabilities, the same technique will be applied for shorter periods.
Combining Top and Bottom Numbers Based on Ranking
The next question is: Which rank do you combine with which rank? For example, would you combine 6 numbers that all rank 90% – 99%; or 60% – 69%; or a mix? These data answers the questions.
INSTANCES OF RANK GROUP IN A COMBINATION
The top labels refer to the rank groups where 0 is 1% – 9%, 1 is 10% – to 19%, and so forth and so on. The vertical labels refer to the number of instances of a particular rank group for every combination sampled. For example, compared to other rank groups, numbers that rank 80% – 89% are most common, with 40% probability percentage,. This means that 40% of the results sampled contain one number that ranked 80% – 89%.
Notice, however, that the probability percentages of each rank group range from 34% to 40%, which is relatively at almost the same level of chances (see the first row of percentages). In cases where there exist two numbers from the same rank group, ranks 7 and 9 appear less probable compared to other ranks (see second row in percentages).
Significance of the Data
What is mostly significant from the data is that it is improbable for a combination to contain 5 or 6 numbers that belong to the same rank. To contain 4 numbers from the same rank is likewise almost improbable with 0% – 0.1% probability. There were only 6 results that fell into that category. Therefore, when combining numbers, make sure that no 4, 5 or 6 numbers belong to the same rank.
Specific Cases of Combined Rankings
Previously mentioned that top winning numbers do not win all the time. Winning numbers are usually a mix of top and bottom winning numbers and anything in between. Thus, playing the 6 top winning numbers is actually not a good choice. But how do you know which one is topping or not. In that regard, you really need a spreadsheet tool to assist you in determining the top and bottom numbers.
To help you with that, this report presents the winning ranks of each Grand Lotto 6/55 numbers which you can find at the beginning of this chapter.
Now, to answer: which rank do you combine with which? The following data reveals how winning numbers are usually combined based on their present ranking prior to its time of winning.
COMBINING NUMBERS BASED ON PROBABLE RANKING
Examine the first set of data presented just above.
- 89% of all results contain at least 1 unique rank. In most cases, two of the numbers have unique ranking (46%). For example: 11-22-34-35-40-45 (these are in percentages) where 11 belongs to ranks 10% – 19%; while 22 belongs to ranks 20% – 29%; while the rest are called doubles. In other common cases are when four numbers belong to different rank groups, or even 6; but rarely 3.
- 70% of all results usually contain doubles; i.e. two numbers belong to the same rank group. In the previous example, 34 and 35 both belong to rank group 30% – 39%.
- It is very rare, though possible, that three numbers can belong to the same rank group (13% probability). For example: 11-22-34-35-39-45 where ranks 34, 35 and 39 all belong to the same group, 30% – 39%.
- All other cases are improbable or almost improbable.
Setting the Standards
The second set of data presented previously—Specific Combination Cases—reveals how winning numbers are actually combined based on their current rankings. Starting with the most common, combine your numbers as follows ~
- D— 45% of all results sampled contain a double from any rank while the rest of the numbers (4 of them) are all unique. For example: the Sep 20, 2025 winning numbers 35 • 55 • 09 • 44 • 33 • 07 ranked as follows respectively: 19% 33% 23% 96% 87% 28% where 23% and 28% are considered doubles (coming from the same group); while the rest belonged to different groups.
- 2D— 20% of all results contained two doubles: An example is: in percentages 17-73-71-83-33-12 (Sep 8, 2025 result) where 73 and 71 belonged to the 70%–79% group; while 17&12 belonged to the 10%–19% group.
- U— 19% of all results contained unique rankings. This means that the ranking of all the 6 winning numbers belong to different groups. An example is the Sep 13, 2025 result: 33-62-83-01-12-23 (these are in %) where each rank come from different rank groups.
- T— 9% of all results contained rankings of what is called triple, which means that 3 of the winning numbers belong to the same group.
- The rest are very unlikely, if not, improbable such as H6 where all the 6 numbers could belong to only 1 rank group; which has not happened yet.
Trend Probabilities
What's Trending
Coming soon....
| Top | More Probability Studies: Ultra Lotto 6/58 | Grand Lotto 6/55 | Super Lotto 6/49 | Mega Lotto 6/45 | Lotto 6/42 |
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