Four cards are randomly drawn from a standard deck of 52 cards. Find each probability.

Question

a. P(1 ace and 3 kings)
b. P(2 odd and 2 face cards)

Answer 1

assuming no replacement, and order does not matter,
(a) 4! * 4/52 * 4/51 * 3/50 * 2/49 = 0.00035
(b) 4!/2!2! * 20/52 * 19/51 * 12/50 * 11/49 = 0.046