Question: P-1- 35 Points Two friends will be playing three find-the-lady games back-to-back. One of them tries to maximize his winning possibility. Therefore, he will have

P-1- 35 Points Two friends will be playing three
P-1- 35 Points Two friends will be playing three find-the-lady games back-to-back. One of them tries to maximize his winning possibility. Therefore, he will have the opportunity for each game to purpose an even bet with the probability is that he will win the match and gain the amount of bet. On the other hand, the probability if he will lose the match and thus lose the amount bet. His amount of bet can be between zero and the amount of money he still has left after the bets on the preceding matches. At the beginning of the first game, he has $75. If he reach $100 at the end of the third game, he assumes that he will win the three consecutive games; however, when he reaches 0 amount he will lose the games. Based on this game apply dynamic programming to find the best policy that maximizes the probability that he will have exactly $100 after the three games for this man. Please explain your policy for each games

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