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A street hustler offers you the following game: Each play you roll 2 dice. Each play costs $1 If you roll an even number you win that amount If you roll an odd number you lose that amount in addition to the $1. 1) Calculate the probabilities P(X 1+X 2-3) 2) write the reward function, rie), where s -X + X, in the following form r(e)-a 3) What is the expected reward? Should you take up the bet?

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on ㄩ g 6 2 12. 3 3 6 了‘ + 1

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