Repeat Problem 53, except change the stakes to ($ 10,000) and ($ 10), respectively. Data from problem

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Repeat Problem 53, except change the stakes to \(\$ 10,000\) and \(\$ 10\), respectively.

Data from problem 53

Suppose you are in class and your instructor makes you the following legitimate offer. Each student receives a ballot with the following two choices, without communicating with each other:

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If everyone checks the first box, then all will receive \(\$ 1,000\). If anyone checks the second box, then only those who check the second box will receive \(\$ 100\). Which box would you check, and why? Answers for Problems 53-56 vary, but you will interesting if you do them with your class

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