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a) You have 3 times to open the box. If there is no bomb in the box, you can get 25 coins. Otherwise, you will

a) You have 3 times to open the box. If there is no bomb in the box, you can get 25 coins. Otherwise, you will lose 16 coins. The probability of having a bomb is 0.23 . What is the maximum coins you can get?

b) You have 34 times to open the box. If there is no bomb in the box, you can get 51 coins. Otherwise, you will lose 9 times of opening the box. The probability of having a bomb is 0.37 . What is the maximum coins you can get?

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