Explanation Definition used: Mutually exclusive: The events A and B are termed as mutually exclusive if the intersection of the two events is empty set. That is ( A ∩ B ) = ∅ . In case of the probability P ( A ∩ B ) = 0 . The events are called pair wise mutually exclusive if the pair of the events cannot happen simultaneously. Theorem used: Probability of the Union of three Events: For any events A, B and C , P ( A ∪ B ∪ C ) = P ( A ) + P ( B ) + P ( C ) − P ( A ∩ B ) − P ( B ∩ C ) − P ( A ∩ C ) + P ( A ∩ B ∩ C ) For the mutually exclusive events there would be no common element that is intersection of the two events would be zero. Let A , B and C be three events, it the events A , C and B , C are pairwise mutually exclusive then they cannot happen simultaneously in pairs. That is, P ( B ∩ C ) = 0 , P ( A ∩ C ) = 0 and P ( A ∩ B ∩ C ) = 0

College Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

14th Edition

ISBN: 9780134674148

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker

Publisher: PEARSON

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Chapter 8.2, Problem 69E

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To explain: When do the three events A, B, and C from a sample space S is related to each other as P(A∪B∪C)=P(A)+P(B)+P(C)−P(A∩B).

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Chapter 8.2, Problem 68E

Chapter 8.2, Problem 70E

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Chapter 8 Solutions

College Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

Ch. 8.1 - Repeat Example 1 for The outcome is a number...Ch. 8.1 - Prob. 2MP Ch. 8.1 - Prob. 3MP Ch. 8.1 - Suppose in Example 4 that after flipping the...Ch. 8.1 - Prob. 5MP Ch. 8.1 - Prob. 6MP Ch. 8.1 - Prob. 7MP Ch. 8.1 - Prob. 8MP Ch. 8.1 - Prob. 1ED Ch. 8.1 - Prob. 1E

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When do the three events A , B , and C from a sample space S is related to each other as P ( A ∪ B ∪ C ) = P ( A ) + P ( B ) + P ( C ) − P ( A ∩ B ) .

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To explain: When do the three events A, B, and C from a sample space S is related to each other as P(A∪B∪C)=P(A)+P(B)+P(C)−P(A∩B).

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