A 2-card hand is drawn from a standard deck of 52 cards. find the probability that the hand contains the given cards. two of the same suit

This probability is the same as 1 - (two different suited cards). Your first card can be any of the 52 cards. Your second card must be any of the 39 different suited remaining 51 cards. So the answer is 1 - (52/52) (39-51). Note: I assumed there was no replacement.