Problem 2 (lpt) Use the Central Limit Theorem to estimate the probability of losing more than $40 (compared to what you started with} in a game with a fair coin over 1500 rounds (betting $1 per round). Assume that you start with 50 and can borrow to go negative. Same question if the coin is biased 0.52/0.48 in your favor. Use a simulation to compute the probability of losing all your money for those two coins (over the same settings) if you cannot go negative (i.e., you must stop if you hit zero)