Consider five-card-hands out of a deck of 52 cards.
a) (10%) What is the probability that a hand selected at randomcontains five cards of the same suit? (The suits are hearts,spades, diamonds and clubs.) Show a formula and compute a finalanswer. Show your intermediate computations.
b) (10%) In how many different ways can a hand contain no morethan 2 cards of the same kind. (E.g. not more than 2 queens.) Showa formula but you do not have to compute a final answer.
