11/25/2011

Lotto 6/42: Recurrence Of Sticky Threesomes

A sticky threesome is a group of 3 numbers often drawn together. These numbers seem to stick together. In the previous post, sticky foursomes are possible but the probability is less than 1%. Sticky threesomes is a different story.

Is it Good to Stick with Sticky Threesomes?

A sample of lotto 6/42 results from 1,943 drawings were studied. Based on 1,943 jackpot numbers, you can form 38,860 sets of 3 numbers. Some of these sets may have duplicates; some are unique. From these sets, only 1,263 sets remain unique. The rest, 37,597 sets occured at least twice. That means 3.2% of the sets were drawn only once. The remaining 96.8% were drawn more than once. By removing all duplicates from the 38,860 sets, only 11,043 sets remain, of which 9,780 sets were the numbers that occured more than twice; while 1,263 were the sets that occured only once. Therefore, 88.56% of possible trios or threesomes are considered recurring; while only 11.44% are considered non-recurring.

Significance of Sticky Threesomes

Based on the percentages stated above, there's a high probability that any set of 3 numbers extracted from any jackpot numbers can be drawn a multiple times. On record, the highest recurrence of sticky threesomes is 13 times; the lowest is 2 times; or an average of 3.8 occurrences per threesome. Based on these figures, we can conclude that there's no particular threesome that is constantly sticky. Any set of 3 numbers has a good and fair chance. Therefore, whether you stick with the sticky threesomes or non-sticky ones, your odds of winning remain the same. Any threesome can be sticky.

A Cluster of Sticky Threesomes

A cluster of sticky threesomes is a group of sticky threesomes within a larger group of numbers. In a group of 6 numbers, you can form 20 sets of threesomes (or 3-number group). Say each group has recurred 5 times, that means your 6 numbers have won 3 hits a 100 times (5 times 20). At this point, I don't know yet if a cluster of sticky numbers can give you a better chance. You can download Lotto Generator Plus 6/42 (not available at this moment)., a tool that determines which numbers form sticky clusters, to test it yourself.

In a Nutshell

At this point, we already know that:

  1. Jackpot numbers can occur only once.
  2. Any 5 of the jackpot numbers can be drawn twice but the probability is less than 1%.
  3. Any 4 of the jackpot numbers can be drawn more than twice but the probability is less than 1% as well.
  4. Any 3 of the jackpot numbers can be drawn a multiple times. No specific 3-number group is constantly sticky. Any set of 3 is as good as any other.


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