Part of discrete math course

(c) Consider a standard suffled deck of 52 cards. Suppose we draw one card at a time. What is the probability that the second card drawn has the same value as the first? (ex. both are 10s or both are Js). What is the probability that the third card drawn has the same value as the 2nd? What is the expected number of times that we draw two identical cards in a row? (d) Guests arrive at a birthday party one by one. At the entrance, each guest provides theif birth day. A guest will receive a $100 prize if his or her birthday is the same as the previous guest. What is the expected number of guests that arrive until the first prize is awarded? What is the expected number of guests that arrive until the second prize is awarded