Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - 11.7 Events Involving And; Conditional Probability - Exercise Set 11.7: 11

Answer

$\frac{1}{36}$

Work Step by Step

If A and B are independent events, then P(E) = P(A)*P(B) A single die is rolled twice. Find the probability of rolling: E: A 2 the first time and a 3 the second time. A: 2 the first time B: 3 the second time P(A) = $\frac{1}{6}$ P(B) = $\frac{1}{6}$ All of the events are independent of each other, so it follows that: P(E) = $\frac{1}{6}$ .$\frac{1}{6}$ = $\frac{1}{36}$
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