Poker is a common game in which players are dealt five cards from a deck of cards. We found there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in Table 13.1. Find the requested probabilities in Problems 13-17. Use a calculator, and show your answers to whatever accuracy possible on your calculator.

Table 13.1

a. \(P\) (four of a kind)

b. \(P\) (full house)

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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 Three of a kind 54,912 hands Two pair 123,552 hands One pair 1,098,240 hands Other hands 1,302,540 hands ****