This is an experiment with Ohio Classic Lotto.
Recently Ohio started a new daily game Ten-OH! which is a keno style game in which the player picks 10 of 80 numbers and the state draws 20 of those 80 numbers and if the player matches 5-10 or none of the 20 numbers drawn he wins a prize. I checked and the odds of matching none of the 20 numbers are about the same as matching 5 of them and that got me thinking "Is there a limit to how long one can pick losing combinations randomly in a regular lottery?". Thus the reason for this experiment.
Classic Lotto (6/49) has had 95 drawings until today. The odds of a winning match is as follows:
MATCH ODDS
6/6 1 : 13983816
5/6 1 : 54201
4/6 1 : 1032
3/6 1 : 57
There are 18424 combinations of threes in a pool of 49 numbers and 20 of them are in every combinations of 6. Statistically one of those combinations of threes in every combination of six will appear in the winning numbers an average of once every 57 drawings. With an RNG I generated 35 ordinary combinations of sixes with only the conditions that they had never matched three in the previous 95 drawings and no combination of three was repeated within them. These 35 combinations have gone 95 drawings with out a hit, that's the equivalent of a single combination going 3325 drawings without a hit, can they continue to do it? If they do then there must be something unique about them to be avoided with future picks.
These are the 35 combinations:
12 17 25 41 42 44 09 11 22 27 33 37 08 10 30 35 41 43
13 24 35 36 47 48 21 25 27 35 38 39 12 18 19 27 29 31
23 31 32 37 39 46 10 11 16 20 25 36 05 12 15 43 46 47
11 19 28 38 43 45 05 14 19 26 40 41 03 20 27 42 43 48
08 15 18 33 34 40 06 18 38 44 46 48 02 03 21 32 33 41
06 09 10 21 26 29 16 21 24 40 45 46 04 12 23 24 33 38
01 07 14 16 27 30 05 30 33 36 44 45 01 03 05 28 29 35
20 23 34 41 45 47 16 22 26 32 44 47 04 07 26 34 36 46
29 32 36 38 40 42 02 24 30 34 37 42 10 13 14 39 42 45
04 14 15 20 31 35 07 09 19 20 24 39 06 13 15 25 30 49
02 17 18 26 39 43 01 11 13 17 32 34 07 08 11 29 47 49
07 12 13 21 22 28 03 06 08 14 17 23
I picked 10 of these combinations randomly and posted them on the prediction board. I will review the results later after tonight's drawing