Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 7 - Section 7.4 - Probability and Counting Techniques - Exercises - Page 493: 17

Answer

$\displaystyle \frac{1}{2^{8}\cdot 5^{5}\cdot 5!}$

Work Step by Step

Number of ways to fill part A = $2^{8}$ ( repeated choice of 1 out of two possibilities, 8 times) Number of ways to fill part B = $5^{5}$ ( repeated choice of 1 out of five possibilities, 5 times) Number of arrangements for part C = $5!$ $n(S)=2^{8}\cdot 5^{5}\cdot 5!$ $ n(E)=1\qquad$ (the one way to have $100\%)$ $P(E)=\displaystyle \frac{1}{2^{8}\cdot 5^{5}\cdot 5!}$
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