A 5-card hand is dealt from a standard 52-card deck. If the 5-card hand contains at...

Question

Question

A 5-card hand is dealt from a standard 52-card deck. If the 5-card hand contains at least one four, you win $12; otherwise, y

Answer 1

Answer #1

solution:

probability containing at least one 4 =1-P(no four) =1-(₄₈C₅)/(₅₂C₅) =1-1712304/2598960=0.341158

therefore expected value of the game =E(x)= expected gain -expected loss =12*0.341158-3*(1-0.341158) =2.1173

Answer 2

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