Ultra Lotto 6/58 Probability of Multiples

Divided into 6 groups – 01s, 10s, 20s, 30s, 40s, 50s – what's the probability that 2 or 3 winning numbers are to come from one group alone?

Recap

In the previous posts, you learned that ~
  • You can predict or expect what larger number may come next after a smaller number. For example, if your number is 21, the most probable next number would be from 30-39 (next group) or 20-29 (same group).
  • A group may produce 1 or 2 winning numbers. You can notice that with a pair of the same colour in the colour chart.
Perhaps, you’re wondering if there is a particular group that produces a pair more than the other groups; or, if it is possible that two (2) colour groups can each produce a pair of winning numbers? What about 3 winning numbers from the same colour group?

The Probability of Multiples

Which Group Produces A Pair More?

Each group has a fair share of producing 2 winning numbers at the same time. The probability is a close 22.5% to 30.1%. See and compare.
  • Group 01 - 09 (01s), 24.7%
  • Group 10 - 19 (10s), 30.1%
  • Group 20 - 29 (20s), 25.4%
  • Group 30 - 39 (30s), 24.9%
  • Group 40 - 49 (40s), 24.7%
  • Group 50 - 59 (50s), 22.5%
Based on these data, though Group 10s produces more a winning pair compared to other groups, its probability is not that extreme to conclude that numbers 10 - 19 tend to win more compared to other numbers. Therefore, as previously said, each colour number group can perform well as good as the others. That being said, you may need to play different combinations wherein each combination contains two numbers coming one from each group.

Single Pair Versus Double Pairs

How probable that two colour groups are to produce 2 winning numbers each? For example, the 22nd Jun 2018 result 03 • 22 • 44 • 47 • 50 • 52 produced double pairs: 44 & 47 from group 40s and 50 & 52 from group 50s. Using colour coding, it is going to look like this:
032244475052
So, how probable that double pairs to exist compared to a single pair?

According to calculated statistics, more than half of the results tested contained double pairs. The probability of double pairs to exist, such as the example above, is 52.1%. This includes 2.7% of triple pairs.

On the other hand, the probability of a single pair to exist is 45.5%.

Therefore, when forming your combinations, have one combination that contains a single pair; and another that contains double pairs. Visually, your combinations may look something like these examples;
Single pair
Double pairs

Solos, Triads and Quads

Here are the rest of the multiples, absence of multiples included.
  • Solos or absence of multiples. This means that all colours are present; all groups produce one winning number each.The probability of an absence of multiples is only 2.4%. Example is the 20 Apr 18 result – 04 • 12 • 29 • 30 • 45 • 53 – wherein all the number colour groups are represented.
    041229304553
  • Triads. Triads are 3 winning numbers coming from the same group. The probability of such to happen is 21.5%. An example is the 8 Jun 18 result wherein the numbers 41 • 43 • 49 are all in the line of 40s.
    053139414349
  • Quads. Quads are 4 winning numbers coming from the same group. The probability of such is only 2.1%. It is something like that occurs every 37 draws.
  • Quints and Hexes. These are 5 and 6 winning numbers coming from the same colour group. The probability of such is zero (0%).

In A Nutshell

  • Each number color group is as good as the other. No single group is better than the other.
  • In general, the number that comes after a particular number is either a number from the same group or a number from the next group. For example, if your number is 21, your next number should either be from the 20s or the 30s; same group or next group.
  • Jumpers. Two groups are probable jumpers: 01s and 30s (red and green colour groups).
    • If your first number is 01 - 09, your 2nd number can be from the same group (01s), the next group (10s), or jump to the next next group (20s).
    • If your 5th number is 30 - 39, your 6th number can either be from the next group (40s) or jump to the next next group (50s); but not from the same group (30s).
  • Reds are good as 1st or 2nd number.
  • Oranges are good as 1st, 2nd or 3rd number.
  • Yellows are good as 2nd, 3rd, or 4th number.
  • Greens are good as 3rd, 4th, or 5th number.
  • Blues are good as 4th, 5th or 6th number.
  • Purples are good as 5th or 6th number.
  • Single Pair. One of your combinations should contain at least a pair of numbers coming from the same colour group.
  • Double Pairs. One of your combinations should contain two (2) pairs of numbers coming from 2 separate colour groups.
  • Triads. Optionally, you may combine 3 numbers coming from the same color group.
  • Solos and Quads are very rare. They can win but very unlikely.
  • Statistically, playing 5 or 6 numbers that come from one number colour group has not happened yet.

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