7. Consider a poker hand dealt with the first two cards facing up, and the remaining 3 cards face down Compute the conditional probability of three-of-a-kind (3,1,1), given that the first two face-up cards are (Ace of hearts, King of Diamond). Note that the toal number of possible poker hands, given that the first two cards are (aceking) is U-C(50,3) (50 49 48)/(3 2 1 19600. Hint: There are three ways of ending up with a 3-of-a-kind hand, given that the first two cards are (Ace,King) . Get two more aces, and one card of a third kind, OR . Get two more kings, and one card of a third kind, OR Stay with one ace and one king, and get 3 cards of a third kind