53 DCara Hold em In Exercises 53 through 58 we consider the

D-Cara Hold em In Exercises 53 through 58, we consider the poker game called Texas player that is played by the professionals in the World Series of Poker. In it, each receives two down cards, called their hole cards. An additional five cards are dealt face up on the board and are cards common to all players. Each play using his or her two hole cards plus the five board cards determines his or h hand as in 7-Card Stud. To accommodate betting, the five board cards are dealt by first showing three cards, called the flop, then showing one more card, called the turn, and finally showing the last card, called the river. In each of the given two-player games, determine the probability that player A will win and the probability that player B will win. Player Down Cards Flop Turn 7 8 5 10 River 53. A K 6

Solution

probability that player A will win is 6 / (7+8+5) = 0.30

probability that player B will win is 5 / (7+8+5) = 0.25