Roulette Martingale Simulator

This is a simple application designed to simulate the results of using the 'martingale' strategy in roulette. The strategy is as follows; you bet on either red or black (the probability of the ball landing on either is actually 0.4865, not 0.5 due to the presence of the green 0), if you win you carry on betting the same amount, however if you lose your next bet should be double the amount of the losing bet. This means that if you win on the next game you win the money back from when you lost. A common belief is that a gambler with infinite wealth will eventually turn a profit, however this is incorrect as even in a game where the probability of success is 0.5, the expected profit is still 0. In this case the expect profit is actually -0.027, so a loss is probable. This size of the bet grows exponentially and this application illustrates how quickly it is possible for an unrecoverable loss to occur, however it also shows how lucrative the strategy occasionally is.