Quote from: Bayes on November 29, 2012, 05:42:08 PM
Hi KR,
Maybe, but that's down to variance. On average, because you need to win once in every 8 games just to break even, it means you don't make enough in the winning runs to offset the losses. But I don't want to stress this too much because it applies to every system.
Winning runs
Rather than posting tedious calculations, I'm just going to present the results in a table. The left-hand side shows the length of the winning run going up in steps of 5 after the first 4 and the right-hand side tells you what the chance is of seeing it. The first 4 results are given in % form and the remainder are in "1 in X" form.
Winning Chance
Run
2 75%
3 64%
4 59%
5 48%
10 1 in 4.3
15 1 in 8.9
20 1 in 18.4
25 1 in 38.0
30 1 in 78.6
35 1 in 162
40 1 in 337
45 1 in 697
50 1 in 1,443
55 1 in 2,986
60 1 in 6,181
65 1 in 12,794
70 1 in 26,481
75 1 in 54,809
80 1 in 113,443
85 1 in 234,803
90 1 in 485,991
95 1 in 1,005,895
100 1 in 2,081,980
The Pilot had 180 winning run and John had few 100+ Bayes can you calculate the odds of winning 70 times in a row on any step of progression betting on 2 dozens? John in his run with FIVE when he went 1000/0 (about the same odds like 100/0 for PB) won 70+ consecutive step 4 double dozen bets each time after losing 3 first steps. In my calculations its like 1M multiplied by 1M.