Question 5: You are playing 5 card poker with your friends. In this game you are initially dealt 5 cards and on each round of betting you can exchange any number of cards to try and get a better hand. You are using a standard deck of 52 cards, and any cards you exchange go into a discard pile and are no longer in play for this hand. All cards are dealt uniformly at random. In your first hand you are dealt {5,5A,7,8h,A}. You keep the pair of 5 's and the ace and exchange the 7 and 8 for two more cards. Let C be the event that you receive at least one more ace, and let D be the event that you receive at least one more 5 . a) What is Pr(CD) ? b) What is Pr(CD) ? c) Are events C and D independent? In other words, is Pr(CD)=Pr(C)Pr(D)