Two cards are drawn at random from an ordinary deck of 52 playing cards. If the...

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Two cards are drawn at random from an ordinary deck of 52playing cards. If the two cards display the same suit, you win $2.If they are the same color only, you win $1. Otherwise, you lose 50cent. Calculate

(a) the expected value of the amount you win;

(b) the variance of the amount you win;

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