Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 7 - Section 7.1 - An Introduction to Discrete Probability - Exercises - Page 451: 18

Answer

Probability = $\frac{40}{2598960}$ = $\frac{1}{64974}$

Work Step by Step

Ways to select 5 cards = $C$(52,5) = 2598960 To form a straight flush we need to have 5 cards of same suit in any of the following order A,2,3,4,5 2,3,4,5,6 ... . 10,J,Q,K,A 10 ways $\times$ 4 =40 Probability = $\frac{40}{2598960}$ = $\frac{1}{64974}$
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