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: 34

Answer

a) $\frac{1}{5527200}$ b) $\frac{1}{6250000}$

Work Step by Step

a) If Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively out of 50. Then P= $1/50 \times 1/49 \times 1/48 \times 1/47$ = $\frac{1}{5527200}$ b) If the Same condition holds, but this time one person can win more than one prize. Then P= $\frac{1}{50^{4}}$ =$\frac{1}{6250000}$
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