The title pretty much explains it,
What is your biggest losing streak at martingale which you won in the end?
If you're looking for a math answer... use this formula to find the odds:
p = 1 - 0.505 ^ x and q = 1 - p
where:
"p" = is the odds that you win at least 1 time in "x" rolls
"1" = 100%
"x" = number of rolls
"0.505" = is the odds that you lose each roll (you can change with your lose chance)
"q" = is the odds that you bust after "x" rolls (you never won in "x" rolls)
So, if you're playing at dice, like i think is
, at 49.5% winning chance (and 50.5% you're losing)...
which is your odds to bust after 20 rolls?
p = 1 - 0.505 ^ 20 = 0.9999988363361 = 99.99988 % (you win at least 1 time in 20 rolls)
q = 1 - p = 0.0000011636639 = 0.000116 % (you never won in 20 rolls... you BUST)
it means that it happens one times every 1 / q = 859,354.662
Good luck