Chapter 13.1, Problem 14PS

Poker is a common game in which players are dealt five cards from a deck of cards. In Example 4, Section 12.2, we found there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in Table13.1. Find the requested probabilities in Problems 13-17. Use a calculator, and show your answers to whatever accuracy possible on your calculator.

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

a. P(four of a kind)

b. P(full house)