Advanced Algebra with Trigonometry
Challenge Problem 7
Name
Directions: Show all work and reasoning to receive full credit. Write all answers as percents to
FIVE decimal places.
1) In a game of poker, a straight flush is a hand of five cards in sequence, all of the same suit, where aces
can play low or high (Ex. 34567). What is the probability of being dealt a five-card hand that is a
straight flush?
2) In a game of poker, a flush is a hand which contains five cards of the same suit, not in rank sequence.
(Ex. 267JK). What is the probability of being dealt a five-card hand that is a flush?
3) In a game of poker, a straight is a hand which contains five cards of sequential rank, but containing
more than one suit (Ex. 8910JQ). What is the probability of being dealt a five-card hand that is a
straight?
4) In a game of poker, four-of-a-kind is a hand of five cards which contain four of the same rank and one
unmatched card of another rank (Ex. 8888J). What is the probability of being dealt a five-card
hand that is a four-of-a-kind?