Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 12 - Counting and Probability - Section 12.3 Probability - 12.3 Assess Your Understanding - Page 886: 72

Answer

$0.814$

Work Step by Step

1. Allow each person to have any day as birthday, we have the total outcomes $T=365^{35}$, 2. The permutation $P(365,35)$ represents no two people have the same birthday, 3. Thus the probability that at least 2 people have the same birthday is given by $p=1-\frac{P(365,35)}{365^{35}}\approx0.814$
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