In poker, five cards are selected at random from a full deck of 52. What is the probability that a hand in a poker game contains a “pair,” two cards of the same face value? Eight cards are drawn at...

In poker, five cards are selected at random from a full deck of 52.

What is the probability that a hand in a poker game contains a “pair,”

two cards of the same face value?

Eight cards are drawn at random from a full deck of 52 cards. What

is the probability that they contain (a) no ace; (b) at least one ace; (c)

exactly two aces?