   Chapter 9.9, Problem 26ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Describe a sample space and events A,B, and C, where P ( A ∩ B ∩ C ) = P ( A ) ⋅ P ( B ) ⋅ P ( C ) but A,B, and C are not pairwise independent.

To determine

To describe sample space and events A,Band C for the given conditions.

Explanation

Given information:

A,Band C are not pairwise independent where P(ABC)=P(A)P(B)P(C).

Calculation:

Let us consider the event for tossing a fair coin three times and the events A,Band C will be as follows −

A= Event of getting the head on first toss.

B= Event of getting the tail on second toss.

C= Event of getting the head or tail on third toss

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