1) Consider a standard deck of 52 cards with 13 ranks (Ace, 2, 3, ..., 10, Jack, Queen, King), each rank having cards in four suits (hearts, diamonds, clubs, spades). Find the probability of forming a 13 card hand where 4 cards are a straight (four consecutive ranks, e.g. A to 4, up to 10-K) and you have three sets of three of a kind (three cards of the same rank). Annotate your counting method to explain how you are finding this probability. Note that you should not have four of a kind in your hand or four cards of the same rank.

2) Find P(C) if you know that P(C D) = 0.7 and P(D^C |C^C) = 0.85. State any axioms or properties you use in your solving process.