SOLUTION: 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

Question 614354: 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 probabilities. (Use a calculator and give the answer to five decimal places.)
Royal Flush is 4 hands
Other straight flush is 36 hands
Four of a kind is 624 hands
Full house is 3,744 hands
Flush is 5,108 hands
Straight is 10,200 hands
Three of a kind is 54,912 hands
Two pair is 123,552 hands
One pair is 1,098,240 hands
Other hands is 1,302,540 hands
(1) What are the chances of being dealt a full house or better?
(2) What are the chances of being dealt a hand that will lose to a flush?

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
1)
(4+36+624+3744)/2598960
=.00170
.
2)
(1302540+1098240+123552+54912+10200)/2598960
=.99634
.
Ed
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