6 cards are placed face down on a table. Some are red and some are white. You guess all 6 at random.

a) Suppose you are told that 2 are red and 4 are white cards. The rule is you must guess which two are red and which two are white. What is the probability that you get k correct, k=1,2,3,4,5, or6?

b) 3 are red and 3 are white. The rule is you have to guess which 3 are red and which 3 are white. What is the probability that you get k correct, k=1,2,3,4,5,or 6?

c) 1 is red and 5 are white. What is the probability you get k correct, k=1,2,3,4,5 or 6?