Suppose that a deck of 52 cards contains 26 red cards and 26 black cards (and assume the red cards are numbered 1 to 26, and so are the black cards). Say we use the 52 cards to randomly distribute 13 cards each among two players (2 players receive 13 card each).

a. How many ways are there to pass out 13 cards to each of the two players?

b. What is the probability that player 1 will receive 13 cards of one color and player 2 receive 13 cards of the other color?