Suppose you play a game at a casino where your probability of winning each game is 0.49. On each game, you bet $10, which you either win or lose.
Let P(n) be the probability that you are ahead by at least $50 after n games.
Graph this probability versus n for n equal to multiples of 50 up to 1000.
Discuss the behavior of this function and why it behaves as it does.