Consider a deck of N = 52 cards. We distribute these cards randomly (that is, equiprobably) to 4 players, so that each player receives a hand of 13 cards. (a) Describe this problem as a counting problem for lists. What is k? What are the n? Use this to compute the size [2] of the sample space. (b) Let A be the event 'every player receives exactly one ace`, (There are a total of four aces in the deck.) What is |A|? Hint: Assuming that the first four entries of the outcome list correspond to aces, how many choices are there for the first four entries of the picking list? How many choices for the remaining 48 entries? Show that P(A) 20.105... 2