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: 28

Answer

Probablity = $(\frac{330}{3176716400})$ = $\frac{3}{28879240}$

Work Step by Step

Ways to select 7 numbers out of first 80 integers = $C$(80,7) = 3176716400 Player wins if he has selected 7 integers out of 11 that the computer selects i.e. in $C$(11,7) = 330 ways. Probability = $(\frac{330}{3176716400})$ = $\frac{3}{28879240}$
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