Chapter 10.1, Problem 35E

Exercises 35–38 refer to a standard deck of playing cards. If you are unfamiliar with playing cards, see the description on page 650.

35.    During a game of Texas Hold’em poker, each of four players is dealt two cards, then the dealer “burns” a card (puts it face down), then deals the “flop” (three cards face up). He then burns another card, then flips over the “turn” card (one card face up). One player needs a spade on the “turn” to make a flush. No one else has a spade, and he has two in his hand and there are two on the flop. If neither of the burn cards are spades, what’s the probability the turn card will be a spade?