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4. Only 3 hearts, 7 clubs and 2 spades were found undamaged in a moth-eaten deck of ancient playing cards. Suppose on every single turn,

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4. Only 3 hearts, 7 clubs and 2 spades were found undamaged in a moth-eaten deck of ancient playing cards. Suppose on every single turn, you randomly select a card from the set of these 12 cards, see it and put it back in the deck. You keep doing this repeatedly. a. What is the probability that you get the rst heart on the 5th turn? b. How ma ny turns are expected to get one non-spade card? c. What is the variance of the number of turns required to get one club

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