Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.7 - Probability - 11.7 Exercises - Page 837: 67b

Answer

$$\frac{365\cdot364\cdot363\cdot362}{365^4}$$

Work Step by Step

Whenever one person has a birthday, there is one less day in the year that could be a different birthday. Thus, we multiply 365/365 by 364/365. We continue this trend for the given number of people that there are. So, for four people, we find: $$\frac{365\cdot364\cdot363\cdot362}{365^4}$$
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