About
This report is about a statistical study of the drawing results of a lottery system 6/58. It aims to find out ~ The odds of winning a lottery system 6/58. Are chances either to win or lose?
 If probability data reveal better chances of winning or losing.
 If the winning frequency of a lotto number assures a sure win.
 How often forms and patterns are repeated. If such exist, do they guarantee better chances of winning?
What Covers The Study
The study includes: Statistical and probability data based on actual lotto results
 Analyses of statistical data, findings and observations
 A link to a database of lotto draw results which you can download
 Links to a site where you can download more lotto tools and documents
 Other links to supplement this report
Outline
This report is presented in the following chapters.
 Overview: General info about the lottery system 6/58, mathematical facts as a result of statistical calculation, and the methods used in this statistical study
 Low vs high numbers probability
 Oddeven numbers probability
 Common Forms and Patterns of Lottery Results
 Probable winning range of numbers: Not all numbers are probable
 Distances: Predicting the next probable numbers
 Top Winning Numbers and Ranking
 Trending Numbers
Data Sampled In The Study and Scope
For the study of this lottery system 6/58, results from Ultra Lotto 6/58 of the Philippines were used. The results cover the period 8 February 2015 (very first draw) up to, as much as possible, the current date. For other players in other countries, so long as your lottery system method of drawing use the tumbler method, the information here may still serve useful for adapting it to a similar system in your area. Otherwise, if you want to use your own draw results, you can just download the tools provided here and replace the results with that of your local lottery’s.View the sampled data here (Ultra Lotto draw results).
1
Overview
Brief general and mathematical facts
This section presents general information about the lottery system 6/58 and the mathematical facts that go with it. The Overview that follows ~ States general information about the lottery;
 Explains the mathematical methods used in this study;
 Calculates the probability of winning from a lotto system 6/58 based on all possible combinations;
 Calculated an example of calculated margin of error to determine the reliability or sampling confidence of the probability data.
What Is Lotto System 6/58?
Lotto system 6/58 is a lottery system wherein six numbers are drawn from numbers 1 to 58. The first six numbers drawn make the official winning numbers. The method of drawing the six numbers vary. It can be digital or traditional. The usual traditional method of drawing the numbers use a tumbler. This tumbler contains 58 pingpong balls numbered 1 to 58. Each pingpong ball is of the same size, shape, and weight with precision of up to ten decimal points or more.Today, lottery companies use airpressurized tumbler to ensure that no hands intervene with the drawing of the lotto results.
In the Philippines, this type of lottery is called Ultra Lotto. Lotto companies from other countries may call it some other names. Whatever, it is called, the names are irrelevant.
Ultra Lotto 6/58 is being managed by Philippine Charity Sweepstakes Office (PCSO), a Philippine government agency. Drawing of results use an airpressurized tumbler. Only one tumbler is used. This tumbler contains 58 pingpong balls numbered 1 to 58. The first six balls drawn determine the six winning numbers. Winning numbers are in no particular order.
How To Play Ultra Lotto and How To Win It
To play Ultra Lotto system 6/58, you pick six unique numbers from 1 to 58. Your six numbers can be in any combination and order. Using a bet card, you mark the card corresponding to your six numbers. A lotto operator feeds the card to a computer to generate a ticket. Printed on this lotto ticket are the six numbers you are playing. You can play as many tickets as you like. Each set of six numbers played costsHow You Win The Game
If the six numbers you played are the same numbers drawn during the official drawing of the lottery, you win the jackpot prize. If there are more than one winner, the winners share the jackpot prize equally. You can win a smaller prize if you matched only 3, 4, or 5 numbers. The order the balls are drawn is irrelevant.Probability of Winning Lotto System 6/58
Permutations vs Combinations
In Statistics, there is a difference between permutations and combinations. In permutations, the order of the numbers is significant. In combinations, the order of the numbers is irrelevant. In permutation, ABC is not the same as CBA. In a combination, ABC is just the same as ACB, BCA, BAC, CAB, CBA. For the reason that Ultra Lotto system 6/58 disregards the order of numbers, we are only after all possible combinations.Number of All Possible Combinations
To determine the number of all possible 6number combinations that you can make from numbers 1 to 58, use the Combination formula.The other way to write it is —
C(n,k) = n! ÷ [(n  k)! k!]
which you read it as —
n choose k equals the factorial of n divided by all over the factorial of n minus k times the factorial of k. In other words, find all possible combinations of k objects from n items.
Let's substitute the formula with lotto 6/58.
C(58,6) = 58! ÷ [ (58  6)! × 6! ]
Let's read —
58 choose 6 = the factorial of 58 divided by all over the factorial of 586 times the factorial of 6.
The result is — 40,475,358 possible combinations all in all.
Odds Of Winning
Therefore, your chance or probability of winning a system 6/58 lottery is 1:40,475,358 or 0.00000247%. By playing two combinations, you double your chance. To increase your odds of winning to 1%, you need to play 404,754 combinations; this will cost you ₱8,095,080.Margin of Error
Margin of Error (MOE) expresses how close statistics to truth. It is usually expressed with plus or minus. Let's calculate the margin of error for one of our probability findings.The lotto numbers 01  58 were grouped into six such as: 1s, 10s, 20s, 30s, 40s, 50s. Based on 324 lotto results, 318 revealed that there's always 1 winning number that would come from each group.
Let's calculate its margin of error.
Margin of Error Formula
The formula to calculate the margin of error is ~
MOE = z √ {[p ( 1  p )] / n }
where ~  n is sample size
 p is sample proportion expressed in percentage
 z is the confidence level (which is usually 95% expressed as 1.96; if 99%, 2.58)
The square root of p times 1 minus p divided by n multiplied by z equals MOE
Let's substitute the formula with our figures above.
 Sample size n is 324, which is the number of draw results.
 Proportion p is 318 or 98.15% probability (318 divided by 324).
 Confidence level z is 99% expressed as 2.58 (this is constant based on a standard table).
MOE = 2.58 √ {[ 98.15% ( 1  98.15% )] / 324 } = plus or minus 1.93% or 2% rounded off.
This means that the statement mentioned above is 96% to 100% true (98.15% plus or minus 1.93%)Quantiles
Grouping the lotto numbers with related attributes
Quantiles divide probability data into equal groups, such as a group of four, five, six or ten. If grouped into four, each group is called a quartile. If five, quintiles. If six, hextiles.Lotto system 6/58 draws 6 winning numbers. If we are going to group the lotto numbers into 6 groups, is it possible that each winning number would come from each group?
Dividing the numbers or data into different groups reveal more information as to which numbers win most often. In Chapter 6, the data were divided into six, called hextiles, according to the frequency of winning of each lotto number. In Chapter 7, The Probability of Forms and Patterns, the lotto numbers were grouped by first digits such as 20s, 30s, etc.
Simple Basic Math
Generally, most method used in the studies is simple math such as counting and calculating the percentage.Frequent Terms Used
 Frequency
 The number of times an event occurs. For example, the number of times a lotto number has won.
 Instance
 The number of times a subevent occurs in an event. For example, how many odd numbers are usually present in a winning result.
 Probability
 This is either presented in a percentage form or ratio.
 Rank
 This is presented as an ordinal number such as 1st, 2nd, etc.
 Percentile Rank
 Presented as %Rank, it is ranking presented in percentage form such as the top 10%.
2
Low vs High Numbers
Which numbers win most: 129 or 3058?
Most people play numbers of important dates such as birthdays. For that reason, their combinations are mostly low numbers 1  29. If you’re playing only low numbers, what are your chances of winning?
To make the low and high numbers data significant, each result must be arranged numerically from smallest to largest number. For example, the 11 May 2018 result ⎯ 51 • 31 • 22 • 19 • 02 • 32 ⎯ would be rearranged as 02 • 19 • 22 • 31 • 32 • 51.
Which Numbers Are Low or High
First, let us define which numbers are to be regarded as low or high.The lottery system 6/58 uses 58 balls numbered 1 to 58. Divide 58 into 2, the result is 29. So, the first half ⎯ 1 to 29 ⎯ are the low numbers while the second half ⎯ 30 to 58 ⎯ are the high numbers.
Low To High Ratios
The ratio of low to high numbers is best at 3:3 followed by 4:2 / 2:4 ratios. This means, that at 78.9% probability, your numbers are best if they are a mix of: 3 low numbers and 3 high numbers
 4 low numbers and 2 high numbers
 2 low numbers and 4 high numbers
Playing 5 low numbers or 5 high numbers gives your numbers a chance of winning by only 8.6% to 8.9%.
Following are the complete data.
Low  High  Freq  Prob 

0  6  5  1.3% 
1  5  35  8.9% 
2  4  89  22.6% 
3  3  119  30.2% 
4  2  103  26.1% 
5  1  34  8.6% 
6  0  9  2.3% 
394  100% 
Low and High Probability
Now that you know that the common (ultra) lotto 6/58 result is a mix of 2 to 4 low and high numbers, your next question in mind, perhaps, which number should be a low or a high one. Arranged numerically from lowest to highest, the next table determines which ones are your low and high numbers.1st  2nd  3rd  4th  5th  6th  

Low  389  354  265  146  43  9 
High  5  40  129  248  351  385 
% Low  99%  90%  67%  37%  11%  2% 
% High  01%  10%  33%  63%  89%  98% 
 Your very first number and your second number should be a low number (1  29). The probability that it is a low number is 99% and 90% respectively.
 Your 5th and 6th numbers should be a high number (30  58). The probability that it’s a high number is 89% and 98% respectively.
 Your 3rd and 4th numbers can either be a low number or a high number. The 3rd number is more often a low number (at 67% probability) than a high number (at 33% probability); the 4th number is more often a high number (at 63% probability) than a low one (at 37% probability).
Ratio  1st  2nd  3rd  4th  5th  6th 

3:3  L  L  L  H  H  H 
2:4  L  L  H  H  H  H 
4:2  L  L  L  L  H  H 
Odds of Winning After Eliminating the Least Probable LowHigh Combinations
The least probable lowhigh combinations are: 6 low numbers
 6 high numbers
 5 low numbers
 5 high numbers
So, the number of probable combinations now after eliminating the least lowhigh probable ones is 32,637,528.
3
Odd vs Even Numbers
Which numbers win most: Odd or Even?
The superstitious may prefer odd numbers over even numbers, or vice versa. But actually, superstitions have nothing to do with odd numbers winning over even numbers, or the other way around. However, statistics may reveal which type of number wins mostly: odd numbers or even numbers.In order to come up with significant probability of oddeven patterns, each result studied was arranged numerically from smallest to largest number.
Highlights
 The oddeven probability is useful if your numbers are arranged numerically from lowest to highest.
 If your goal is to make all your 6 numbers right, playing all odd numbers or all even numbers do not give you better chances of winning.
 The most probable ratio of odd to even are 3:3, 2:4 and 4:2.
 If your numbers contain 5 odd numbers or 5 even numbers, consider shifting them to 2:4 or 4:2 pattern.
 Doubles (2 odds or 2 evens) are as popular as odd and even next to each other.
Major OddEven Patterns
There are seven (7) major oddeven patterns. Six odd numbers
 Six even numbers
 Five odd numbers, 1 even number
 Five even numbers, 1 odd number
 Four odd numbers, 2 even numbers
 Four even numbers, 2 odd numbers
 Three odd numbers, 3 even numbers
The OddEven Probability
3:3 OddEven Ratio
If your combination has 3 odd numbers and 3 even numbers, you have a better chance of winning compared to allodd numbers or alleven numbers. The probability that a result would have 3 odd numbers and 3 even numbers is 36.5%. However, that probability also means that the chance of a result is otherwise is 63.5%. Therefore, it is not enough that all the combinations that you have to play have 3 odd numbers and 3 even numbers.4:2 & 2:4 OddEven Ratios
If your combination has 4 odd numbers and 2 even numbers, most likely your numbers can win by 24.4% probability. If your combination has 2 odd numbers and 4 even numbers, your odds of winning is 21.8%.1:5 & 5:1 OddEven Ratios
If your combination has 5 odd numbers or 5 even numbers, your chance of winning is a low 8.4% probability and 6.4% probability respectively. If you notice that your combination has this pattern ⎯ 5 odds or 5 evens ⎯ might as well change one of the odd numbers to even; or change one of the even numbers to an odd number to increase your chance of winning. But of course, no one is stopping you to take risks. Having 5 odd numbers or 5 even numbers can still make you win 5 numbers right; or even the jackpot if luck favours you. After all, these patterns may be rare but they remain possible.All Odd or All Even
Playing all odd numbers or all even numbers are the patterns that you can ignore because together they make only a probability of 2.5%.OddEven Stats
What follows is the complete statistics of the oddeven ratios. The figures on this chart may change as current results are added.Popular OddEven Sequence
Perhaps, you’re wondering which of your numbers should be odd or even and in what order. Should your first number be odd or even? What about the 2nd, 3rd, 4th, 5th and 6th?The answer is any of your numbers can be odd or even because the probability of any number to be odd or even, without regard to ratio, is almost the same; ranging from 48%53%. Therefore, the chance of a winning number to be odd or even is almost 50:50.
However, by eliminating what’s not probable, we would be able to zero in the patterns that are most probable.
Alternating Odd and Even Numbers
Starting with the alternating oddeven patterns (eg OEOEOE or EOEOEO), results show that this type of pattern does not frequently happen. Its probability is only 6.1%. So, might as well avoid this type of pattern.This probability also means that at least 2 consecutive numbers are either both odd or both even.
Straight Odd vs Straight Even
 OOOOOO or EEEEEE
 Six (6) odd numbers straight or 6 even numbers straight. This pattern has occurred only 2.5% of all the results. You can avoid these patterns.
 OOOOO or EEEEE
 Five (5) odd numbers straight or 5 even numbers straight. This type of pattern has occurred only 2.8% of all the results. If we add the 6 straight patterns, the probability of having straight 5 odd or even numbers becomes 5.3%.
 OOOO or EEEE
 Four (4) odd numbers straight or 4 even numbers straight. This type of pattern has occurred only 13.5% of all the results. If we consider the 6 and 5 straight patterns, the probability of having 4 straight odd or 4 straight even numbers is 18.8%.
 OOO or EEE
 Three (3) odd numbers straight or 3 even numbers straight. This pattern has occurred 35% of all the results. The probability however, of having 3 straight odd or even numbers is 53.8%. On the other hand, there is also a probability that such pattern cannot exist at 46.2% probability. This means that your combination may or may not have this type of pattern.
 OOOEEE or EEEOOO
 This type of pattern (double straight 3 odds and evens) has occurred only 3% of all the results. You can avoid this type of pattern.
 Doubles or 2 Odds or 2 Evens Straight
 The probability that 2 straight odds (OO) or 2 straight evens (EE) to exist is 93.9%. This means that, at least, one double can exist in most every result. The chance that such pattern does not exist is only 6.1%.
 1 Double. OO or EE. A single double can exist at 47.5% probability. Related patterns are OOEOEO, EOOEOE, OEOOEO, EOEOOE, OEOEOO, EEOEOE, OEEOEO, EOEEOE, OEOEEO, EOEOEE.
 2 Doubles. OO OO or EE EE or OO EE or EE OO. Two doubles can exist at 44.4% probability. These doubles can exist in any order. Related patterns are EOOEOO, OEEOEE, OOEEOE, EEOOEO, OOEOOE, EEOEEO.
 3 Doubles. This type of pattern is rare. It has occurred only at 2% of all the results. Related patterns are OOEEOO, EEOOEE, OOOOEE, EEEEOO, OOEEEE, EEOOOO.
In A Nutshell
 The 3:3, 4:2, and 2:4 ratios are the most significant ones among the seven (7) oddeven patterns. Together, they comprise 82.7% of all the results studied. So, when forming your combinations, limit your numbers to these oddeven ratios.
 Two consecutive numbers may either be both odd or both even or one odd and the other even. The patterns OO, EE, OE, and EO share almost equal probability.
 Your combination should have one or two doubles (2 straight odds or evens). The remaining numbers should be alternating odd and even.
 3 odd numbers straight or 3 even numbers straight are also common at 50:50 chance.
4
Forms and Patterns
Common winning number patterns
Which numbers usually win? Are the tens winning more than the twenties or thirties? The forties over the fifties? Let's find out.Highlights
 A hextile or group of related numbers, say numbers 19, 1019 or 2029, would at most produce 1 winning number or none at all. If one hextile produced no winning number, another hextile would produce 2 winning numbers.
Groups By First Digit
In this study, I grouped the lotto numbers by 1s, 10s, 20s, 30s, 40s, and 50s to find out if there is a certain group that win most often. Thus, Group 1 (G1) comprises the lotto numbers 0109
 Group 2 (G2), lotto numbers 1019
 Group 3 (G3), lotto numbers 2029
 Group 4 (G4), lotto numbers 3039
 Group 5 (G5), lotto numbers 4049
 Group 6 (G6), lotto numbers 5058
Summary of Observations
 No 6 numbers can win from one group alone. The probability is 0%. In other words, you cannot win the jackpot if your 6 numbers are any from 01 to 09 only; or 10 to 19; or 20 to 29, etc. For example, this is possible but not highly probable: 1 • 2 • 3 • 4 • 5 • 6 or 50 • 51 • 52 • 54 • 55 • 58.
 Winning 5 numbers from one group alone is not also probable. It also has 0% probability.
 Winning 4 numbers from one group alone is almost not probable. The probability is a very low 0.03% to 0.09%. There were only 8 instances reported out of 324 draws. This is an extraordinary case which occurs once for every 41 draws (1:41 ratio).
 The probability of winning 3 numbers from one group alone is between 3.4% to 6.5% per group. Together, such case on average occurs once for every 4 draws (1:4 ratio) or 28.4% probability (92 cases over 324 draws).
 The probability that 2 numbers would win from a single group ranges from 17.9% to 25% per group. All in all, such case has occurred 264 times out of 324 draws; or 81.48% probability. That is almost a 1:1 ratio (1:1.23 exactly). In other words, for every 27 draws, there are 22 instances when 2 numbers win from a particular group.
 There is a strong probability that 1 winning number could come from each group. The probability ranges from 42.3% to 44.1% per group. All in all, such case has occurred 312 times out of 324 draws; or 96.3% probability. That is almost a 1:1 ratio. Exactly, that’s 26 cases for every 27 draws.
 It is also possible that a group would not bring out any winning number. Such case happens when one group delivered 2 or more winning numbers. The probability of one group not producing a winner ranges from 26.9% to 33% per group. Collectively, such case has occurred 318 times, or a 98% probability; very close to 1 number winning from a single group.
 In a Nutshell. There is a stronger possibility that a particular group would produce at 1 or 2 winning numbers. In such case when one group would produce 2 winning numbers, one group would produce none.
 The table that follows summarizes the probability of each group to produce 1 or 2 winning numbers. Based on this table, you can already see the most probable placement of your numbers. For example, 1s are good as 1st number; or combined 1st and 2nd numbers. Your first number can mostly be 1s or 10s; while your 6th number can mostly be the 40s or 50s.
Probability Per Group in the Numerical Order
 
Group

1st

2nd

3rd

4th

5th

6th

1s

70.5

24.3

4.5

0.2

0.0

0.0

10s

22.3

42.1

30.4

11.5

2.3

0.0

20s

6.1

23.6

33.1

24.8

8.8

2.0

30s

0.9

9.7

24.1

34.9

25.9

4.5

40s

0.2

0.2

7.7

24.1

40.3

26.1

50s

0.0

0.0

0.2

4.5

22.7

67.3

Number Groups Probability
Group Ones 01  09 (1s)
The lotto numbers 01  09 are best as your 1st number; or both as 1st and 2nd number. 70.5% of the results contained at least one (1) number from 01  09; that’s 7 for every 10 results;
 24.3% of the results contained any two (2) numbers from 01  09; that’s 2 for every 10 results;
 Only 4.5% of the results contained more than 2 numbers from 01  09; that’s 4 for every 100 results;
 29.5% of the results did not contain any number from 01  09; that’s 3 for every 10 results;
Strategy
Combine numbers wherein either: One number is any from 01  09.
 2 numbers are any from 01  09.
 It does not contain any number from 01  09.
Group Tens 10  19 (10s)
The lotto numbers 10 to 19 are best as your 2nd number or 3rd number; or both. In other cases, it can be your 1st number; or 1st and 2nd number. 73.6% of the results contained at least one (1) number from 10  19; that’s 7 for every 10 results or 7:10;
 44.3% of the results contained a single number from 10  19; that’s 4 for every 10 results, or 4:10;
 29.3% of the results contained any 2 numbers from 10  19; that’s 3 for every 10 results, or 3:10;
 26.4% of the results contained not one number from 10 19; that’s 3 for every 10 results or 3:10;
 Only 4.7% of the results contained 3 or 4 numbers from 10  19; thats 5 for every 100 results, or 5:100.
Strategy
Combine numbers wherein either: One number is any from 10  19;
 Any 2 numbers are from 10  19;
 It does not contain any number from 10 19.
Group Twenties 20  29 (20s)
The lotto numbers 20  29 are best as you 2nd, 3rd or 4th numbers; or both 2nd and 3rd; or both 3rd and 4th. 67.8% of the results contained at least 1 number from 20  29; that’s 7 out of 10 results, or 7:10;
 42.3% of the results contained only 1 number from 20  29; that’s 4 out of 10 results, or 4:10;
 25.5% of the results contained at least any 2 numbers from 20  29; that’s 2  3 out of 10 results, or 3:10;
 Only 4.3% of the results contained any 3 or 4 numbers from 20  29; that’s 4 out of 100 results, or 4:100;
 32.2% of the results contained not one number from 20  29; that’s 3 out of 10 results, or 3:10.
Strategy
Combine numbers wherein either: One number is any from 20  29;
 Any 2 numbers are from 20  29;
 It does not contain any number from 20  29.
Group Thirties 30  39 (30s)
The lotto numbers 30  39 are best as your 3rd, 4th or 5th number; or as 3rd and 4th; or as 4th and 5th. 67.1% of the results contained at least 1 number from 30  39; that’s 7:10 ratio;
 41.6% of the results contained only 1 number from 30  39; that’s 4:10 ratio;
 25.5% of the results contained at least any 2 numbers from 30  39; that’s 2:10 to 3:10 ratio;
 Only 7.2% of the results contained any 3 or 4 numbers from 30  39; that’s 7:100 ratio;
 32.9% of the results contained not one number from 30  39; that’s 3:10 ratio.
Strategy
Combine numbers wherein either: One number is any from 30  39;
 Any 2 numbers are from 30  39;
 It does not contain any number from 30  39.
Group Forties 40  49 (40s)
The lotto numbers 40  49 are best as your 5th number, 4th or 6th; or as 4th and 5th; or as 5th and 6th. 68% of the results contained at least 1 number from 40  49; that’s 7:10 ratio;
 43.4% of the results contained only 1 number from 40  49; that’s 4:10 ratio;
 24.6% of the results contained at least any 2 numbers from 40  49; that’s 2:10 ratio;
 Only 5.8% of the results contained any 3 or 4 numbers from 40  49; that’s 6:100 ratio;
 32% of the results contained not one number from 40  49; that’s 3:10 ratio.
Strategy
Combine numbers wherein either: One number is any from 40  49;
 Any 2 numbers are from 40  49;
 It does not contain any number from 40  49.
Group Fifties 50  58 (50s)
The lotto numbers 50  58 are best as your 6th or 5th; or both as 5th and 6th numbers. 67.6% of the results contained at least 1 number from 50  58; that’s 7:10 ratio;
 44.7% of the results contained only 1 number from 50  58; that’s 4:10 ratio;
 22.8% of the results contained at least any 2 numbers from 50  58; that’s 2:10 ratio;
 Only 4.5% of the results contained any 3 or 4 numbers from 50  58; that’s 4:100 ratio;
 32.4% of the results contained not one number from 50  58; that’s 3:10 ratio.
Strategy
Combine numbers wherein either: One number is any from 50  58;
 Any 2 numbers are from 50  58;
 It does not contain any number from 50  58.
In A Nutshell
 Each group of numbers described here can produce at least 1 winning number.
 In a ratio of 2:10, i.e. 2 for every 10 results, each group of numbers can produce, at most, 2 winning numbers.
 For every 100 results, only 4  7 results could have 3 winning numbers coming from one group alone.
 For every 1000 results, only 2 to 7 results would have 4 winning numbers coming from one group alone.
Most Probable Number Tandems
There are 21 possible pairings of the numbers based on groups such as 1s & 10s, 20s & 30s, 40s & 50s. However, not all pairings are probable. For instance, you will seldom see a 10s and a 50s next to each other.Listed here are only the most popular pairings. If a possible pair is not listed, such as 1s & 5s, it means that it is not a probable pair; or its probability is less than 3%.
Pair AB. Combining the 1st & 2nd Numbers
Combine together side by side any number from 0109 with any number from 1019 as your 1st and 2nd numbers. This is the most popular one at 33.8%.You can also pair any number from 1 to 9 with another number from the same group. This means that your 1st and 2nd numbers would both come from the 1 to 9 group. This is the 3rd most popular pair at 24.1% probability. These first 2 pairs make a total of 57.9% probability.
If you want to increase your odds a little more, to 86.5% probability, play 2 more combinations based on the next 3 patterns shown in the Table AB. The rest of the pairs that are not listed in the said table have less than 3% or zero probability.
Pair BC. Combining the 2nd & 3rd Numbers
The most common tandem for the 2nd and 3rd numbers is to combine the 10s with the 20s, followed by dual 10s, and then a combination of 1s and 10s. To achieve a 90% probability, you have to prepare 9 types of combinations as illustrated in the Table BC. Tandems that are not listed in Table BC have 0%  4% probability.Pair CD. Combining the 3rd & 4th numbers
Combining the 20s and 30s together side by side is the most common combination as the 3rd and 4th numbers. This is followed by combining 10s and 20s. The first 4 listed in the Table CD comprise the 50%+ probability. If you want to achieve more than 80% probability, play the first 8 patterns.If you want to increase the odds to more than 90%, play the 10 patterns as illustrated in the Table CD. The patterns not listed have 0%  3% probability.
Pair DE. Combining the 4th & 5th Numbers
The most common 4th and 5th number tandem is the 30s and 40s; followed by dual 40s. To achieve a more than 50% probability, play the first 4 patterns listed in Table DE. To achieve a more than 80% probability, play the first 8 patterns. Play all 10 patterns listed to achieve a more than 90% probability. The patterns that are not listed are those that have 0%  3% probability.Pair EF. Combining the 5th & 6th Numbers
For the 5th and 6th number tandem, the most popular pairs are 40s and 50s; followed by dual 50s. The first 2 patterns already comprise more than 50% probability. To achieve a more than 80% probability, play the next 3 patterns as listed in Table EF. If you want a higher probability, play the 7 patterns listed to achieve a more than 90% probability. The patterns not listed are those that have 0%  2.6% probability.
5
Probable Winning Range
All are possible but not all are probable
It is true that everything else is possible, but not all are probable, at least, not just yet. For example, 1•2•3•4•5•6 is a possible combination because such exists. However, statistically, not just yet. In case, it has happened, most likely, it won't occur twice.Probable Combinations Only
Winning numbers usually come from a probable range
The total possible 6number combinations that you can form out of 58 numbers from 1 to 58 is 40,475,358. All these combinations are possible but not all are probable.By arranging each result from lowest to highest number, statistics has revealed that certain numbers do not win at certain positions. For example, in the first position, common winning numbers are from 1 to 16 with a probability of 93%. If you want to consider 100% probability, then you have to consider all the numbers even if it has won only once.
View the complete data on Google Sheets then come back here to read some explanations.
Table A: Frequency of Winning Restrained To Positions
Table A calculates the number of times a lotto number has won so far. Except for numbers 01 and 58, all other numbers can win at multiple positions, which means, a number can be your first smallest number or your second smallest number.For example, in the combination 06 • 07 • 10 • 21 • 34 • 51, the number six (06) is in the 1st position because it is the smallest number. Your 2nd number 07 is in the second position because it is your second smallest; and so forth and so on.
If your combination is 07 • 10 • 21 • 34 • 51 • 58, the number 07 is in the first position making it your first number. So, the number 07 can be either in the first position or second position.
Therefore, in this table, each number, except 01 and 58, has separate frequency calculations for different positions. As a result, we have found out that some numbers have not won in some positions. For example, the number 12 has no data in the 5th and 6th positions. This means that a combination similar to this 01 • 05 • 09 • 11 • 12 • 13, wherein the number 12 is in the 5th position, is considered not probable.
Table B: Probability of Winning If Restrained To Positions
Table B shows the corresponding probability of winning of each number based on frequency as calculated in Table A. By using percentage, say you consider 1% insignificant, you can simply ignore the numbers with values equivalent to 1% or less. As a result, some numbers would have less significance of winning in certain positions.
Once you have eliminated the values of less significance, you can now come up with the probable winning range of numbers.
Probable Winning Range
The table below shows the most probable winning numbers in the ordered positions, or what is referred hereto as the probable winning range. These range of lotto numbers excluded those that had only less than 2% probability. These data are based onPosition >>  1st  2nd  3rd  4th  5th  6th 

Lowest  1  3  10  13  32  41 
Highest  16  30  40  47  56  58 
Prob%  88%  87%  89%  86%  86%  91% 
By eliminating what’s not probable, the lower and upper limits have reduced the number of possible and probable combinations to just about 1.6 million, or 0.0000616% probability. That’s already good news compared to 40.4 million combinations.
But, of course, you can take a risk of including one number outside the bounds. These are the numbers that had won but outside the lower and upper limits. The other numbers not shown, either had not won yet or had won only once.
Position >>  1st  2nd  3rd  4th  5th  6th 

Range  1722, 25, 26, 29, 30  2, 3137  59, 4145, 47  1011, 4853  14, 19, 20, 2231, 57  24, 27, 29, 34, 36, 3840 
The figures might have changed as newer results are added. You can view the updated results on Google Sheets.
Perfect and Extraordinary Combinations
A perfect combination would be when all the 6 numbers in a combination are within the probable winning range. However, not all results are perfect. Based on 389 results, 67.9% were perfect combinations; the rest, referred to as extraordinary combinations, had only 3 to 5 numbers winning that were within the probable winning range.An example of a perfect combination is the 26 Dec 2017 result which was 09 • 22 • 35 • 41 • 44 • 46.
The 31 Dec 2017 result ⎯ 06 • 14 • 15 • 24 • 25 • 43 ⎯ showed 1 number, which is 25, outside the limits (outside the range of 3256).
So, how likely that a winning result would be within the probable range?
The table that follows shows how much of the actual results were within the probable range. There's almost a 70% chance that all 6 winning numbers would be within the probable range; about 91% chance that 5 numbers would come from within the range; and 97% chance that 4 numbers would come from within the range.Numbers Within Bounds  Occurrences  Prob 

6  168  67.9% 
5  90  23.1% 
4  24  6.2% 
3  11  2.8% 
2  0  0% 
1  0  0% 
0  0  0% 
Which column usually plays within bounds?
Which column in the ordered positions usually give a winning number within the probable range?The probable range of numbers in the 1st to 5th positions usually give a winning number at 81%  88% probability. The probable range in the 6th position usually gives a winning number at 92.6% probability.
In A Nutshell
Picking your 6number combination from the probable range gives you a ~ 49.9% chance of winning the jackpot;
 77.5% chance of winning 5 numbers; and
 91.2% chance of winning 4 numbers.
Your  Probable Range  

Combination  99% Prob  86%91% Prob 
1st number (lowest)  0130  0116 
2nd number  0237  0330 
3rd number  0547  1040 
4th number  1353  1347 
5th number  1957  3256 
6th number (highest)  3458  4158 
Tip & Strategy
Play 9 combinations as follows: 5 combinations where all 6 numbers are within the probable range
 3 combinations where all 5 numbers are within the probable range in which ~
 1 combination contains your 2nd number that is outside the probable range;
 1 combination contains your 5th number that is outside the probable range;
 1 combination contains either your 3rd, 4th or 1st number that is outside the probable range;
 1 combination where all 4 numbers are within the probable range except the 1st and 2nd numbers.
6
Predicting the Next Winning Numbers
Calculating Distances to Restrict Your Numbers
Is it possible to figure out which numbers can probably win based on restricting factors?You already learned, in the previous section, that not all numbers are probable. By restricting further your method of combining or choosing the numbers that you want to play, you narrow down your selection of numbers to the most probable ones. This time, you will learn about the distance factor, which is simply the difference between two consecutive numbers.
Did you know that your numbers have more chances of winning if the difference between two numbers is less than 12? That's the general rule. However, in every rule, there is an exception, which will be explained here further.
Distance Between Two Numbers
To determine the distance factors, each draw result must be arranged numerically from the lowest to the highest number. For example, the order of the 8 May 2018 result 19 • 27 • 07 • 46 • 18 • 53 should be rearranged as:
07 • 18 • 19 • 27 • 46 • 53
Then, the difference between every 2 consecutive numbers must be calculated. The value of the difference is referred to as the distance or the distance between 2 consecutive numbers. Thus, in the preceding example, the distances between the numbers are:
 Distance AB = 18  7 = 11
 Distance BC = 19  18 = 1
 Distance CD = 27  19 = 8
 Distance DE = 46  27 = 19
 Distance EF = 53  46 = 7
11 • 1 • 8 • 19 • 7
If you sum up all these numbers, you get the sum of all distances:
11 + 1 + 8 + 19 + 7 = 46
The sum of all distances 46 is the same as the distance between the highest and the lowest number, thus;
Distance FA = 53  7 = 46 = Sum of all distances
With the numbers in a combination arranged from smallest to largest, A refers to the 1st number, which is the smallest. B refers to the 2nd number; C is 3rd; D is 4th; E is 5th; and F refers to the 6th number, which is the largest. Distance AB (or B minus A) therefore, means the difference between the first and second number. Distance BC is the difference between the 3rd and 2nd numbers (or CB); and so forth and so on.
Significance of the Distances
Our planets in the solar system maintain their orbits because of gravity. If one planet changes its amount of gravity, it affects the orbits of all the other planets.Imagine the lottery balls as a group of small planets which maintain their positions based on alternating fixed set of distances. By determining the distances between 2 numbers, you can figure out the possible numbers next to another number.
For example, if the common distance is 12, then you would know that the probable next winning number after 21 is 33 calculated as follows:
21 + 12 = 33
where 21 is the given lotto number, 12 is the probable distance, and 33 is the calculated next probable winning lotto number.So, how do you figure out the probable distances?
Probable Distances Between Two Numbers
As mentioned earlier, the differences between two numbers of every result were calculated. As a result, the following table presents a summary of the findings.Distance  Prob  

From  To  % 
1  7  54.9% 
8  15  31.0% 
16  40  14.1% 
41  57  0.0% 
The Risk Zone
The distances 41 to 57 have 0% probability. This means that if the difference between two consecutive numbers is 41  57, there’s a strong possibility that your combination is unlikely to win.For example, in this combination 01 • 42 • 50 • 53 • 57 • 58, the difference between 42 and 1 is 41, making this combination unlikely to win. To make it a probable combination, you can change 42 to any number between 2 and 37 (refer to the probable winning range table in the previous section).
If the difference between two consecutive numbers is between 16 and 40, consider changing your numbers with a distance between 1 and 15 to increase the probability of winning. The reason is that the distances 16 to 40 make only 14.1% of all probable chances. If you want to take a risk, choose a smaller distance value, say between 16 and 25.
The Safe Zone
If the differences between two consecutive numbers are between 1 and 15 inclusive, your combination has 85.9% chance of winning.The most common statistical differences are 1 to 5; while the rest are also common, they have occurred with a few exceptions. For instance, the distance of 6 is more common to distances AB, CD and DE but less common to distances BC and EF.
Is it possible to have equal distances?
The most common of all distances is 3 between the 4th and 5th numbers (or distance DE). Overall, the distance of 3 is 3rd most popular. With that in mind, is the following combination a probable winner:
1 • 4 • 7 • 10 • 13 • 16
wherein the differences between all numbers are all 3s? (Calculate 41 = 74 = 107 = 1310 = 1613 = all 3s.)There are 3 reasons why this type of combination is not a probable winner:
 The distance of 3, though popular, comprises only 9.1% of all occurrences. This means that if all results have distances of 3, its probability is 100%; but such is not the case. Therefore, the distance of 3 shares popularity with other values of distance.
 The distance or difference between 16 and 1 (6th and 1st numbers) is 15 (which is also the sum of 3+3+3+3+3). The distance of 15 between the 6th and 1st numbers is not at all common. In fact, statistically, it does not exist yet; or 0% probability.
 The numbers 7, 10, 13 and 16 are all outside the probable winning range (check previous section Probable Winning Range).
So, What’s Ideal?
What is ideal is to form a combination with unique distances. The 8 May 2018 result is an example: 7 • 18 • 19 • 27 • 46 • 53 with distances of 11 • 1 • 8 • 19 • 7.The probability that a result has unique distances is 56.15%. Therefore, 43.85% would have 2 or more distances of equal value. The result of 1 May 2018 is an example of a result with 2 distances of equal value: 15 • 28 • 39 • 42 • 48 • 51 with distances of 13 • 11 • 3 • 6 • 3.
Three (3) distances of equal value is already very rare. There were only 6 instances. Having 4 or 5 equal distances is no longer probable.
How do we decide which distances should we mix?
The general rules are: If a distance is between 41 and 57, the probability is zero percent (0%).
 The smaller the value of a distance, the greater the probability.
 Remember that the difference between the smallest and largest numbers should be between 25 and 56 inclusive.
 Using a distance of 1  11 has 100% probability. It means that every result that was tested had at least 1 distance whose value is between 1 and 11.
 The most common instances of having distances between 1 and 11 is 3 to 4. This means that 3 or 4 distances in your combination should rather be between 1 and 11.
 If 3  4 distances are between 1 and 11, the others would definitely be greater than 11 such as between 12 and 30. Remember rule#2 when picking a distance value between 12 and 30.
 if your number is not within the probable winning range;
 if the difference between 2 consecutive numbers are not within the probable distance range;
 if the difference between your smallest and largest numbers is not between 25 and 56;
 if the values of your distances are all too high.
7
AllTime Top Winning Numbers
Which numbers win most frequently?
Most likely, the first thing that you would want to find out is which of the numbers win most frequently. Once you’ve got that knowledge, you’d be excited to go to the lotto outlet and play.
So, let me give you the Top 13 winning numbers based on 324 results. All lotto numbers 01  58 were tallied based on the number of times each number had won or drawn. Some numbers ranked in the same place; it is for that reason why you are seeing 13 numbers. Find here the complete standing of each number based on its winning frequency.
06 • 13 • 54 • 08 • 38 • 58 • 34 • 10 • 22 • 02 • 25 • 33 • 39
Want to find out how these numbers fared? Let’s look at the statistics.
The probability of ~
 These numbers not winning is 10.5%
 1 of these numbers winning is 40.7%
 2 of these numbers winning is 30.9%
 3 of these numbers winning is 13%
 4 of these numbers winning is 4.6%
 5 of these numbers winning is 0.3%
 6 of these numbers winning is 0%
Sad to say, your jackpot numbers could not come from the Top 13 alone. Having to win 3, 4, or 5 numbers is not even close. One or two numbers may win from this group, but it won’t pay you a prize.
Now that you know that the top winning numbers alone cannot promise you a jackpot prize, let’s explore more and find out where the winning numbers come from.
Groups by Frequency of Winning
For the lotto 6/58 study, the data were divided into 6 groups. Each hextile comprises onesixth (1/6) or 16.67% of the data. If divided equally, each group comprises 9 or 10 lotto numbers. However, in this study, the lotto numbers were grouped, then ranked, based on the number of times each number had won. For that reason, a hextile or onesixth group may include a variable number of lotto numbers ranging from 6 to 15 lotto numbers depending on each number's performance. Group 1 (H1) comprises the top 1/6 (16.67%)
 Group 2 (H2) comprises the 2nd top 1/6. Together with group 1, they make the top ⅓.
 Group 3 (H3) comprises the middle 1/6 above the median. Together with groups 1 and 2, they make the top 50%.
 Group 4 (H4) comprises the middle 1/6 below the median. Together with groups 5 and 6, they make the bottom 50%.
 Group 5 (H5) comprises the upper bottom 1/6. Together with group 6, they make the bottom ⅓.
 Group 6 (H6) comprises the bottom 1/6.
Top OneSixth (H1)
Based on 323 results, the following are the top 16.67% winning numbers of Ultra Lotto system 6/58. Find here the latest standing of each number based on its winning frequency.
06 • 13 • 54 • 08 • 38 • 58 • 34
These numbers have won 289 times out of 1938 balls – a probability of 15.72%. Collectively and individually, they had won from 217 results out of 323 drawings  a probability of 67.2%. However, only 11 draws resulted to three winning numbers; and only 1 draw gave four winning numbers. This means that the other 206 results were noprize winning results giving only 1 or 2 winning numbers.
Perhaps, you’re wondering why the top winning numbers are not exactly sure winners?
The answer is randomness. The balls have no fixed positions. The moment you touch one ball, the rest of the balls move. That’s the concept of randomness. For that reason, we can quickly come up with a conclusion ~
The winning balls are unpredictable.
If such is the case, is there a way to be, at least, closer? There’s only one way to find out and that’s with the use of probability.
The Top Thirds (1/3) Winning Numbers (H1 + H2)
The following are the next top winning numbers, making them, together with the top 16.67%, the Top OneThird (33.33%). These numbers belong to Group H2.
22 • 02 • 25 • 33 • 39 • 10 • 41 • 46 • 14
The Top 1/3 winning numbers make the 33.33% of all winning balls  a total of 635 balls equivalent to 303 draws out of 323 drawings, or 93.8%; 91 of those are prized winners having 3 to 5 winning numbers. Four draws produced five winning numbers; 19 draws produced 4 winning numbers.
Therefore, playing the Top 1/3 numbers gives you 28.17% probability of winning 3 to 4 numbers; but not 5 or 6 numbers. However, if the Top 1/3 consists of 16 lotto numbers, you need to play 8008 combinations in order to ensure your winning ⎯ not practical to play them all. Perhaps, there is a better way to play 16 numbers with a few combinations.
Moreover, if only 1 to 4 of the Top 16 numbers can possibly win from 93.8% of the draws, which other numbers are winning?
The Top 50% (H1 + H2 + H3)
So how many numbers should you play to raise your chances of winning to greater than 50%? Let’s add the remaining top numbers to complete the Top 50%. These numbers belong to the H3 group or the middle top 16.67% above the median.
23 • 27 • 29 • 11 • 40 • 56 • 15
Playing the Top 50% gives you 99.07% probability of your numbers making it to the results. Of this rate, 77.4% probability is attributed to winning prized money; ie winning 3 to 6 numbers. Here's the complete stats.
 36.53% chance of winning 3 numbers
 26.93% chance of winning 4 numbers
 12.38% chance of winning 5 numbers
 1.55% chance of winning 6 numbers (or jackpot)
 18.89% chance of winning 2 numbers
 2.79% chance of winning 1 number
 0.93% chance of winning 0 number
The AllTime Bottom Numbers
The other 50% of the numbers belong to the bottom group, comprising the 3 bottom hextiles. The middle 16.67% bottom below the median (H4)
 The upper 16.67% bottom (H5). Together with H6, H5 + H6 comprise the bottom thirds (1/3).
 The lowest 16.67% bottom (H6)
The Middle Bottom (H4)
This is the first set of the bottom numbers below the median.
23 • 27 • 29 • 11 • 40 • 56 • 15
What is significant in this group is that it is very unlikely that 3 to 6 winning numbers could come from this group. So, if you find 3 to 6 numbers of yours in this group, most likely they are not going to win because the probability of 3 to 6 winning numbers to come from this group is only 2.2%. However, there is an almost 50%:50% chance that no or 1 winning number can come from this group.
The Bottom Third (H5 & H6)
Below are the numbers that belong to the bottom ⅓.Bottom H5
44 • 19 • 17 • 52 • 57 • 20 • 07 • 21 • 30 • 32 • 48 • 26 • 31
Bottom H6
35 • 49 • 05 • 18 • 45 • 42 • 24 • 55 • 28 • 37
Comparative Stats of the Bottom Numbers
Winning Numbers  H4%  H5%  H6% 

0  46.1  24.5  45.8 
1  36.8  38.7  37.5 
2  14.9  27.9  14.2 
3  1.9  6.8  2.2 
4  0.3  1.9  0.3 
5  0  0.3  0 
6  0  0  0 
Observations
 It is more probable that no winning number could come from group H4 or H6
 There is almost a 50%:50% chance that one or no winning number could come from group H4 or H6
 It is more probable that 2 winning numbers could come from group H5 rather than from groups H4 or H6
 It is almost definite that no 3 to 6 numbers can come from groups H4, H5 or H6.
 38% of the results comprised 3 top winning numbers and 3 bottom numbers.
 There’s only 0.6% when a result comprised all bottom numbers. So, forget playing all bottom numbers.
 Likewise, there’s only a 1% chance that a result contains all top numbers.
 Therefore, your combination should comprise, at most, 3 top numbers and 3 bottom numbers. In some cases, you can play around the ratio 2:4, which means 2 top numbers and 4 bottom numbers or viceversa.
 Top winning numbers do not win all together. They share the spot with bottom numbers.
 You have a slimmer chance if you pick your numbers only from the top 27. The top 27 lotto numbers comprise the top winning 50%.
 The odds of winning increases if you include a few bottom numbers, starting with the middle 9.
 Without the middle 9, there are greater chances to win 3 numbers.
 With the middle 9 considered, the chance to win 4 numbers increases. Draw results usually comprise 4 top winning numbers and 2 bottom numbers.
 Pick 4 numbers from the top 27. The middle 9 numbers are enough to be the source of the 2 bottom numbers.
AllTime Top Winning Numbers vs Trending Numbers
Alltime Top Winning Numbers
The alltime top winning lotto numbers statistics count all the number of times each number has won since the beginning of the Ultra Lotto, which was 8 February 2015. If the top winning numbers consistently win, then in each and every draw, the same numbers win over and over again, which is not the case. This means that top winning numbers do not win from every draw, at least, not all together. If you are going to pick the top 12, there is a chance that one or two of them are going to win.Trending Numbers
Trending numbers or hot numbers are lotto numbers that almost frequently win during a short period beginning from the latest draw. In this study, a trending period comprises 21 draws. Why 21? It takes more than 21 draws for every number to win at least once. If a number has not won during this period, most likely it is not going to win for a longer time. Numbers that have not been winning from more than 21 draws are called numbers in hibernation.Just like the alltime top winning numbers, the top trending numbers do not all together win in every draw. If you are going to pick the top 12 trending numbers, there is a chance that one or two of them are going to win.
Top Winners and Trending Numbers Compared
Comparing the trending numbers with the top winners can give you another perspective as to which of the trending numbers may likely to trend consistently. By comparing the linear points of the trending numbers with their alltime top winning points, you can, more or less, get the confidence level of each trending number. For example, if the number 08 is starting to trend currently, how likely that it is going to trend for a longer period? By looking at its past performance, if it has topped in the past, then you can say that it may trend for a longer time as compared to another number.
By qualifying the top trending numbers with their past performance, how likely are they going to win?
Find the latest trends here.
You may access the full data on my Google Drive.