3. Only 4 hearts, 6 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...

Extracted text: 3. Only 4 hearts, 6 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. Let's say, you do this 6 times. a. What is the probability that you get exactly 3 clubs after 6 turns? b. What is the probability that you pick more than 2 clubs after 6 turns? c. What is the mean number of hearts picked after 75 turns? d. What is the standard deviation of the number of spades picked after 64 turns?