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Supposed someone gives you 8 to 2 odds that you cannot roll two even numbers with the roll of two fair dice. This means you

Supposed someone gives you 8 to 2 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win $8 if you succeed and you lose $2 if you fail. What is the expected value of this game to you? Should you expect to win or lose the expected value in the first game? What can you expect if you play 200 times?

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