College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.7 - Page 785: 50

Answer

Probability of getting an odd number the first time and a number less than 3 the second time = $\frac{1}{6}$

Work Step by Step

Probability = $\frac{Favorable outcomes}{Total outcomes}$ For finding probability to get an odd number the first time when die is rolled twice Total outcomes = 6 Favorable outcomes = (1, 3, 5) = 3 Probability of getting an odd number = $\frac{3}{6}$ = $\frac{1}{2}$ For finding probability to get a number less than 3 second time when die is rolled twice Total outcomes = 6 Favorable outcomes = (1, 2) = 2 Probability of getting less than 3 = $\frac{2}{6}$ = $\frac{1}{3}$ Probability of getting an odd number the first time and a number less than 3 the second time = $\frac{1}{2}$$\times$$\frac{1}{3}$ = $\frac{1}{6}$
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