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: 30

Answer

5.315$\times 10^{-5}$

Work Step by Step

The number of ways to select 5 correct numbers out of 6 = C(6,5) = 6 Number of ways to select 1 number out of the remaining 34 = C(34,1) =34 Total possibilities = C(40,6) = 3838380 probablity = $\frac{C(6,5)\times C(34,1)}{C(40,6) }$ =$\frac{6\times 34}{3838380}$ = 5.315$\times 10^{-5}$
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