Question: Should You Play? Suppose someone gives you 10 to 1 odds that you cannot roll a double number (for example, two 1s or two 2s) with the roll of two fair dice. This means you win $10 if you succeed, and you lose $1 if you fail. What is the expected value of this game to you? Should you expect to win or lose the first game? What can you expect if you play 100 times? Explain.
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