Problem 2 (10pt). John and Mary are gambling in a casino. John starts with $50 and is playing a game with probability of winning equal to 0.49 (betting $1 per round) until he has no money left. Mary starts with $120 and playing a game with probability of winning equal to 0.47 (also betting $1 per round) until she has no money left. Use a simulation to gure out who is more likely to run out of money rst. Use the Central Limit Theorem to estimate the probability that Mary will have at least $120 left after 100 rounds