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: 24

Answer

$\frac{1}{3}$

Work Step by Step

P(E) = P(A)*P(B) Assume that we are flipping a coin in a fair manner, and we are rolling a die with six numbers,1-6, on it. Find the probability of some series of events, E, happening. Let A be the first event, B be the second event, and so on. A: Flipping a coin and getting tails B: Rolling a die and getting a number less than 5 {1,2,3,4} P(A) = $\frac{1}{2}$ P(B) = $\frac{4}{6}$ P(E) = P(A)*P(B) P(E) = $\frac{1}{2}$.$\frac{4}{6}$ = $\frac{1}{3}$
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