Martingale and roulette game

This paper talks about the roulette game in the concept of stochastic processes, more specifically on the martingale since it is closely related to this topic stochastics. Next, an example of betting where a player tries to beat that never gives up, throwing a coin into the air and betting on the face is show, in this way by a simulation shows the behavior of this type of gambling, under the concept of the martingale, it also analyzes the effects presented by changing the initial amount of bets and working with a balanced and unbalanced money. This example is simulated with a code created in the software R, which shows the behavior of the bet and can be seen as variations of the winning or losing, which in this case is a time for when the player earns 10 pesos or runs out of money to gamble.