What is the probability that a five card poker hand contains the jack of diamonds and the two of spades? Solution Jack of diamonds and the two of spades: No of ways to get 1 Jack of diamonds: = 1 No of ways to get 2 spades: 13C2 = 78 Total No of ways to contains the jack of diamonds and the two of spades = 1*78 = 78 and No of ways to five card poker hand = 52C5 = 2,598,960 Then Probability = 78/2,598,960 = 0.00003001.