Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Find the requested probability. Use a calculator. (Show your answer to nine decimal places.) P(royal flush) Enter a number. Poker Hands Royal flush 4 hands Other straight flush 36 hands .. Four of a kind 624 hands Full house 3,744 hands Flush 5,108 hands Straight 10.200 hands * ** + +4

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different
possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Find the requested probability. Use a
calculator. (Show your answer to nine decimal places.)
P(royal flush)
Enter a number.
Poker Hands
Royal flush
4 hands
Other straight flush
36 hands
Four of a kind
624 hands
Full house
3,744 hands
Flush
5.108 hands
Straight
10.200 hands
ABEE
Transcribed Image Text:Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Find the requested probability. Use a calculator. (Show your answer to nine decimal places.) P(royal flush) Enter a number. Poker Hands Royal flush 4 hands Other straight flush 36 hands Four of a kind 624 hands Full house 3,744 hands Flush 5.108 hands Straight 10.200 hands ABEE
Straight
10,200 hands
Three of a kind
54,912 hands
Two pair
123,552 hands
One pair
1,098,240 hands
Other hands
1,302,540 hands
*All of these probabilities are mutually exclusive. That is, the 36 straight flushes do not include the 4 royal flushes, and the 5,108 flush hands
do not include the better hands of straight flush or royal flush.
Transcribed Image Text:Straight 10,200 hands Three of a kind 54,912 hands Two pair 123,552 hands One pair 1,098,240 hands Other hands 1,302,540 hands *All of these probabilities are mutually exclusive. That is, the 36 straight flushes do not include the 4 royal flushes, and the 5,108 flush hands do not include the better hands of straight flush or royal flush.
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