In 5-card poker, played with a standard 52-card deck,

Chapter 11, Problem 8

(choose chapter or problem)

In 5 -card poker, played with a standard 52-card deck, \({ }_{52} C_{5}\), or 2,598,960, different hands are possible. The probability of being dealt various hands is the number of different ways they can occur divided by 2,598,960. Shown in Exercises 7-10 are various types of poker hands and their probabilities. In each exercise, find the probability of not being dealt this type of hand.

                                                                                    Number of Ways the

Type of Hand                    Illustration                           Hand Can Occur                      Probability

 

Four of a kind:                                                                      624                     \(\frac{624}{2,598,960}\)

4 cards with

the same number,

plus 1 additional

card

Text Transcription:

52_C_5

frac 624 2,598,960