Ultra Lotto 6/58 Top Numbers

Top Winning Numbers Per Hextile

Quantiles divide a probability data into equal groups, say a group of four, five, or ten. If grouped into four, each group is called a quartile. If five, quintiles; if six, hextiles. Quartiles divide a set of data into four ⎯ the upper 25% percentile ranking, the lower 25%, and the remaining 25% above and below the median. The quartiles are commonly labeled Q1, Q2, Q3, Q4.

The percentile ranking is based on instances or responses, not on the number of subjects. For example, in lotto system 6/58, the percentile ranking was based on instances a lotto number has won; not on the number of existing balls, which is 58.

For the purpose of a lotto system 6/58, I divided the instances of winning numbers into 6 groups (or hextile) to find out from which group can a winning number possibly come from. The winning instances of each lotto number were counted, then ranked based on percentile. For that reason, each group or hextile may contain 6 to 13 lotto numbers depending on their winning performance.
  1. The top 16.67% or 1/6 (H1)
  2. The second top 16.67% (H2)
  3. The upper middle 16.67% (H3)
  4. The lower middle 16.67% (H4)
  5. The second bottom 16.67% (H5)
  6. The bottom 16.67% (H6)

Top 16.67% (H1)

The top 16.67% may comprise 6 to 13 lotto numbers depending on how the numbers are doing. The chart below shows the current top 16.67%.



If you are going to pick 6 numbers from the top 16.67%, how would they fare? Would they all win? Read the data.

The probability of winning —
  • 5 to 6 numbers is 0%
  • 4 numbers is 1.29%
  • 3 numbers is 8.71%
  • 2 numbers is 26.13%
  • 1 number is 43.87%
  • not one number (zero) is 20%
Often times, only 1 or two numbers from the top 17% usually win. The other 4 or 5 numbers come from the other hextile group.

The Second Top 16.67% (H2)

The following chart shows the next top winning numbers.



The second group (the second top 16.67%) produced the following results.

The probability that —
  • No winning number would come from the second group is 44.52%
  • One number may possibly win is 41.29%
  • Two numbers may possibly win is 13.23%
  • 3 to 4 numbers may possibly win is between 0.32% to 0.65%
  • 5 to 6 numbers may possibly win is 0%
Therefore, if you pick 1 number from group 1 (H1), pick another from H2; or if you pick 2 numbers from H1, skip H2.

The Top 33% or Top One-Third(H1 + H2)

Let's now find out the probability of winning if you are going to pick your combinations only from the top one-third or 33.33%.

If you are going to pick your 6-number combination only from the top 33% numbers, the probability of winning —
  • 3 numbers is 21.61%
  • 4 numbers is 5.81%
  • 5 numbers is 1.29%
  • 6 numbers is 0%
  • 2 numbers is 38.71%
  • 1 number is 26.45%
  • no number is 6.13%
Though the probability of your numbers to win is a high 93.87%, your chance of winning a prized money is only 28.71%. It proves, therefore, that the winning numbers do not come only from the top winning ones.

There are extraordinary cases, but very rarely, when no number will come from the top ones. So far there was only one instance when all the six winning numbers came from the bottom third; also one instance when only one winning number came from the top numbers and 5 winning numbers came from the bottom numbers.

The Middle Top 16.67% (H3, above the median)


Could the other winning numbers possibly come from the middle ones? Let's see the results.

The chart below shows the next top winning numbers that belong to the middle top (the top numbers above the median).



The probability that a winning lotto number to come from the middle top 16.67% is 75.16%. However, only 7.1% is considered prized winners (possibly winning 3 numbers at most).

The probability of winning —
  • 3 numbers is 5.81%
  • 4 numbers is 0.97%
  • 5 numbers is 0.32%
  • 6 numbers is 0%
  • 2 numbers is 31.29%
  • 1 number is 36.77%
  • 0 number is 24.84%
One to two numbers may come from the middle 16.67% above the median. But it is also possible that none of the numbers above may win.

So far, you already know that —
  • 1 or 2 numbers from group H1 can possibly win
  • 1 number from group H2
  • 1 or 2 numbers from group H3
Is it safe to say that 5 of the winning numbers could only come from these groups? Let's see what statistics say.

The Top 50%


The top 50% are the numbers that belong to the groups H1, H2, and H3. These are the numbers that usually win more frequently compared to the bottom 50% numbers. Let's now find out if there is a strong probability that the winning numbers would usually come from the Top 50%.

Based on statistics, if you are going to pick your six numbers from the Top 50% numbers, the probability of winning —

  • 6 numbers is 0%
  • 5 numbers is 7.1%
  • 4 numbers is 24.84%
  • 3 numbers is 36.77%
  • 2 numbers is 20.65%
  • 1 number is 9.68%
  • 0 number is 0.97%

Therefore —

  • If you are aiming to win the jackpot prize, your numbers should not only come from the top 50%
  • If you are already happy to win 5 numbers, the top 50% can only give you a 7.1% chance.
  • Most likely, the top 50% is a good source to win 3 to 4 numbers.
  • If 3 to 4 numbers from the top 50% could possibly win, then the other 2 to 3 numbers would be coming from the bottom group.

The Middle Bottom 16.67% (H4, below the median)


You already know by now that 2 to 3 winning numbers could come from the bottom group. The question is: from which group?

The chart that follows shows the numbers from the middle bottom (group H4).



Based on 323 results, the probability that —
  • no winning number would come from the middle bottom is 46.13%
  • 1 winning number would come from the middle bottom is 36.84%
  • 2 winning numbers, 14.86%
  • 3 winning numbers, 1.86%
  • 4 winning numbers, 0.31%
  • 5 or 6 winning numbers, 0%

So, most likely, no winning numbers would come from the middle group. In other cases, only one winning number would come from this group, but not more than one in most cases.

Therefore, if 3 or 4 numbers would come from the top 50%, one may come from the middle bottom (group H4).

The Upper Bottom 16.67% (H5)

The bottom 1/3 is divided into two: the upper bottom (H5) and the lower bottom (H6). The numbers in the following chart comprise the upper bottom.



Based on 323 results, the probability of the upper bottom numbers to win is —
  • no winning number, 23.84%
  • 1 winning number, 39.32%
  • 2 winning numbers, 28.17%
  • 3 winning numbers, 6.81%
  • 4 winning numbers, 1.86%
  • 5 or 6 winning numbers, 0%

Therefore, there is a greater chance that 1 or 2 winning numbers may come from this group. In some cases, this group will not produce a winning number.

Middle Plus Upper Bottoms (H4 + H5)

There are times when the upper bottom comprises fewer numbers than the middle bottom and vice versa. So, let's combine the two groups to find out what statistics will reveal.

Based on 323 results, the probability of winning numbers to come from the upper 1/3 in the bottom 50% is —
  • no winning number, 8.36%
  • 1 winning number, 25.39%
  • 2 winning numbers, 35.91%
  • 3 winning numbers, 23.22%
  • 4 winning numbers, 5.57%
  • 5 winning numbers, 1.55%
  • 6 winning numbers, 0%
At this point, we can now conclude that 1, 2 or 3 numbers from this group may win together with 3 or 4 top numbers.

The Bottom 16.67% (H6)

The bottom 1/6 are the numbers that rarely win. So, let's now find out if it is worth risking to play a number from this bottom group.

The following chart reveals the bottom one-sixth numbers.



Statistics reveals that the probability of —
  • no winning number to come from this group is 46.75%
  • 1 winning number, 35.60%
  • 2 winning numbers, 15.17%
  • 3 winning numbers, 2.17%
  • 4 winning numbers, 0.31%
  • 5 or 6 winning numbers, 0%
Based on the data above, there is a strong possibility that no or one winning number may come from the bottom 1/6th. In very rare cases, this bottom group may produce 2 winning numbers but not usually more than 2.

The Bottom 1/3 (H5 + H6)

Let's now find out what would statistics reveal with the bottom one-third.

Statistics says that the probability of —
  • no winning number to come from the bottom third is 8.98%
  • 1 winning number, 22.91%
  • 2 winning numbers, 38.39%
  • 3 winning numbers, 22.29%
  • 4 winning numbers, 6.81%
  • 5 or 6 winning numbers, 0.31%

The statistics shows that it is also possible that 1, 2, or 3 winning numbers can come from the bottom third. This means that 1 to 3 winning numbers may come from groups H5 and H6, or H4 and H5. Comparing the 3 bottom groups (H4, H5, H6) however, reveals that 2 winning numbers may most likely come from group H5.

Conclusion

  • It is more likely that 2 winning numbers may come from group H3 (top group)
  • It is also more likely that 2 winning numbers may come from group H5 (bottom group)
  • One winning number may come from either group H1 or H2
  • In some cases, the other one winning number may come from either H4 or H6
You may access the full data on my Google Drive.