Introductory Statistics 9th Edition

Published by Wiley
ISBN 10: 1-11905-571-7
ISBN 13: 978-1-11905-571-6

Chapter 4 - Section 4.3 - Marginal Probability, Conditional Probability, and Related Probability Concepts - Exercises - Page 149: 4.39


A and B are mutually exclusive, because they couldn't happen at the same time. A and B are not independent, because the occurrence of B does affect the probability of A.

Work Step by Step

A = {HT, TH, HH} B = {TT} P(A) = $\frac{1}{3}$ P(A|B) = $0$ P(A|B) $\ne$P(A) , therefore they are not independent.
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