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: 17

Answer

Probability = $\frac{10240}{2598960}$ $\approx$ 0.00394

Work Step by Step

Ways to select 5 cards = $C$(52,5) = 2598960 To form a straight we need to have 5 cards in any of the following order A,2,3,4,5 2,3,4,5,6 ... . 10,J,Q,K,A 10 ways and each card can belong to any of the 4 suit Hence ways to form a straight = 10$\times$$4^{5}$ =10$\times$1024 = 10240 Probability = $\frac{10240}{2598960}$ $\approx$ 0.00394
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