Featuring 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 until the date shown here. The study is a work-in-progress; thus, some statistics may change as new results are added.
Lottery System 6/55: An Overview
Just the basics and anything in general
This study is about a lottery system 6/55—a 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.
General Info
The Basics
This chapter discusses briefly what a lottery system 6/55 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 Lottery System 6/55?
A lottery system 6/55 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 tambiolo.
- Mechanically using an air-pressurised tumbler. Balls are pushed out by air.
- Electronically using a computerised system.
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: n choose k where n is the total number of items (55 in this case) and k is the number of items to be chosen (6 in this case).
The other side of the equation is read as: the factorial of n all over the factorial of k times the factorial of n minus k.
What's The odds of winning from a lottery 6/55?
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 system 6/55 lottery. It is a form of 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 do you 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 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 1 to 55. For example, if your numbers are 12345, the system will generate 50 combinations such as 123456, 123457, 123458 up to 1,2,3,4,5,55. 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.
- 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.
- System 8. Mark 8 numbers or mark LP. The system will generate 28 combinations. This will cost you ₱672.
- System 9. Mark 9 numbers or mark LP. The system will generate 84 combinations. This will cost you ₱2016.
- System 10. Mark 10 numbers or mark LP. The system will generate 210 combinations. This will cost you ₱5040.
- System 11. Mark 11 numbers or mark LP. The system will generate 462 combinations. This will cost you ₱11,088.
- System 12. Mark 12 numbers or mark LP. The system will generate 924 combinations. This will cost you ₱22,176.
How much do you wage to play the game?
How do you win and how much if you matched your numbers?
| 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
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. You will have to wait for the jackpot prize to reach ₱878,475,000 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 will cost you ₱6,957,504.
When are the scheduled draws for Grand Lotto 6/55?
How can probability help me win lotto 6/55?
Read more about Grand Lotto 6/55 probability studies.
The Probability Study
What Covers This Study
Probability doesn't guarantee outcomes—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 in 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, calculating the frequency of a factor, 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 in 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
Margin of Error
Coming soon....
Contents
Part I. Overview
- Basic information about the lottery system 6/55
- Overview of this study
- Winning frequency
- Probable winning patterns or sequences
- Probable ranking based on winning frequency
- Probable winning range of numbers
- Probable spacing of numbers in a combination
- Probable time of expectations
- Diversity of combined probability factors
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.
- Frequency
- The count of multiple occurrences of something such as the frequency of winning of a lotto number.
- Occurrences
- The frequency of something within a larger frequency, for clarity, is termed as occurrences such as the occurrence of a lotto number within a shorter period.
- Instances
- The single or multiple occurrence of something in a smaller scale or within a contained group of data such as the instance of odd numbers in a combination.
- Rank
- The rank of a lotto number based on its frequency of winning as compared to all other numbers. 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
- A distance value refers to the difference between two consecutive 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, plus one to include its current win. 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).
- Trends
- Trends are numeric data based on a shorter period such as a 6-draw period.
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 at the beginning of this report. 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.
All-Time Winning Frequency
Which Numbers Win Most
The chart just below presents the winning frequency of each number. However, do not be excited yet. Numbers that have been winning most do not mean that they win all the time. There are times when they do not win. Call it the winning times of a number seasonal.
The second chart that follows presents a more significant information. Notice that the probability percentage of each number ranges from 1.41% – 2.18%. Not much of a difference between any number. This means that any number is as good as the other. However, it does not mean that the statistics does not serve a purpose.
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.
Probable Winning Patterns
Discovering Patterns and Sequences
Do winning numbers follow a certain pattern? For example, can winning numbers be all odd or all even or a mix? Do low numbers win more often than high numbers? Find out what statistics reveal.
RATIO OF ODD TO EVEN NUMBERS & LOW TO HIGH NUMBERS
Ratio of Low to High Numbers
The statistics define 1 – 27 as low numbers; while 28 – 55 as high numbers. Based on the above data, most common low and high number combinations are three low numbers and three high numbers (33% probability percentage). Other better chances are either 4 low numbers or 4 high numbers with a probability of 22% and 25% respectively. Together, they make a total of 80% probability percentage. In very rare cases, 5 low numbers or 5 high numbers 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; and another 23 cases of all high numbers. The above data are based on 1646 results.
Ratio of Odd to Even Numbers
Examine the odd-even data. The statistics are not far from the low:high data results. Most common are 3 odd numbers together with 3 high numbers. In some cases, winning numbers contain 4 odd numbers or 4 low numbers. The less probable cases are 5 or 6 low numbers; and 5 or 6 high numbers.
These statistics may probably not change for a lifetime no matter how much you add to the results. Meaning, if the sampled data soon covers 2000 results or even more, statistics will reveal the same findings (Law of Large Numbers).
Setting The Standards
- A mix of low and high numbers has better chances of winning.
- Combine 3 low numbers with 3 high numbers (3:3)
- Combine 2 low numbers with 4 high numbers (2:4)
- Combine 4 low numbers with 2 high numbers (4:2)
- A mix of odd and even numbers has better chances of winning.
- Combine 3 odd numbers with 3 even numbers (3:3)
- Combine 2 odd numbers with 4 even numbers (2:4)
- Combine 4 odd numbers with 2 even numbers (4:2)
- If you want to be more adventurous, try the 5:1 or 1:5 ratios.
Probable Combination of Numbers
Setting Constraints and Limits
There are 28,989,675 possible combinations that can be formed from a lottery 6/55. However, not all of these 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 distance values 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.
- The probable sum of winning numbers.
- The probable spaces between two consecutive numbers.
The Prerequisite
In order to establish the constraints and limits 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 |
| 01 | 13 | 17 | 20 | 34 | 43 |
The Probable Lower and Upper Bounds
Picking the right numbers within a range
The following data can give you an idea the probable range of lotto numbers that usually make it to the jackpot.
WINNING FREQUENCY IN THE ORDERED POSITIONS
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. 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: 02 • 09 • 18 • 24 • 42 • 48 where #2 is your smallest number rather than 01 • 02 • 18 • 24 • 42 • 48 where #2 is in the second position 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.
Following is a complete list of all the 55 lotto numbers and their corresponding frequency of winning. The first column L# lists the lotto numbers 1 – 55. The succeeding columns count the frequency of the corresponding lotto number in the ordered position. Take for example L# 07. If you have number 07 in your combination, make sure that it is your smallest number such as: 07 • 09 • 33 • 35 • 44 • 55 (Sep 20, 2025 result) with a 5.7% probability. Making #07 your second smallest is not bad either with 3.6% probability such as this winner on 8/25/25: 01 • 07 • 11 • 17 • 38 • 49 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: 01 • 02 • 07 • 11 • 37 • 41, 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%.
Setting the Lower and Upper Limits for Lottery 6/55
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 belong to the better probabilities.
- The 3rd set excludes all probabilities that are less than 1%. Use this if you want to take a little risk.
PROBABLE RANGE OF WINNING NUMBERS
To illustrate how to apply the data using the 2nd set, 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.
Following is the same set of data that excludes only the 0% probability. These data are updated from time to time.
Probable Sum of Winning Numbers
Adding the numbers in 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 in a winning combination. Done with every winning result, we establish what the common sums are. Following is the result.
| Central Tendency | Sum | ||
|---|---|---|---|
| Minimum | 35 | — | — |
| Maximum | 287 | — | — |
| Median | 168 | — | — |
| Mean | 168 | — | — |
| Mode | 160 | 30 occurrences | — |
Based on the basic statistical measures just presented, we establish the following range of sums.
| Sum From | Sum To | Occurrences | Prob % |
|---|---|---|---|
| >= 35 | <= 85 | 26 | 1.5% |
| > 85 | <=135 | 302 | 17.3% |
| > 135 | <= 185 | 849 | 48.5% |
| > 185 | <= 235 | 512 | 29.3% |
| > 235 | <= 287 | 60 | 3.4% |
Generally, if you are going to add all the numbers in your combination, its sum should be between 35 and 287 inclusive. Any value beyond that is considered improbable. The most ideal sum is anything between 135 and 185 inclusive (48.5% probability). To capture an even greater probability, make your sum between 135 and 235 inclusive (77.8% probability); or 85 – 235 for a 95% probability. The least common sums are from 35 to 85 and 235 to 287. Any sum lower than 35 or higher than 287 is yet not probable.
Probable Spacing of Numbers
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 form a greater probability? In this section, we determine the distances 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.
Let's look at the data.
This is a portion of the spreadsheet where I calculated the distances (or differences) between every two consecutive winning numbers. The first set of data shows the calculated distances or differences. The 3rd set of data summarises the data on the first set. You can see there that the smaller the value of the difference, the better or the greater the probability.
Probable Distances Between Two Consecutive Numbers
PROBABLE DIFFERENCES BETWEEN CONSECUTIVE NUMBERS
The probable value of difference or distance between any two consecutive numbers is any number between 1 and 40 inclusive. That means, if 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, which is outside the probable range.
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 • 36 where the distances between two 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, 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 are all added together for every combination. You can see that under the column Sum. The minimum sum calculated was 11; the maximum was 54. Following is a summary of the calculated sum of distances.
PROBABLE SUM OF DISTANCES
To make it easier to remember, I classified the sums into:
- 05 – 10 (0% probability)
- 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)
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 2033 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
The next question is: which is more probable—having unique values or multiple values? Let's look at 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 2033 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.
PROBABLE MULTIPLE DISTANCES
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.
INSTANCE OF DISTANCES PER COMBINATION
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 2-29.
The data tell 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 few instances when it 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.
- 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.
- 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).
Setting The Standards
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 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 space (numerically) 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.
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.
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