I have given up looking for the mathematical formula for the martingale strategy, because I have tried many formulas and none of
them give satisfactory results. In the end, I always ran out of capital when I tried the Martingale strategy, let alone use a small
capital of $ 100. I expect it to run out quickly if I use $ 100 in capital. So in my opinion there is no need to spend time looking for
the right formula for a martingale strategy, if you want to play gambling do it only for entertainment. So whatever the outcome will be
let luck determine the outcome, playing gambling like that is more fun in my opinion.
Wrong if you will always think gambling for fun all the time, martingale can be a successful method as long as OP is not playing a gambling game where there's a house edge, like sports betting, he can use it with proper analysis on the game he will choose. However, it's also not a guarantee that cold streak won't happen or his bankroll will be busted, that's part of the game, what's important is he has a back up to refill his bankroll once he lose his initial capital or bankroll.