Using the axioms of probability, answer whether the following statements are always true or not. If they

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Using the axioms of probability, answer whether the following statements are always true or not. If they are, prove the statement else provide a counterexample. Let A, B, C be subsets of the sample space.

(a) Given A,B are disjoint sets,P(A) +P(B)≤1

(b) Given that B,C are disjoint sets,P(Bc) +P(C)≤1

(d) Given that A,B,C are disjoint sets,P(A∪B∪C)> P(A∪B)

(e) P((A∩C)∪(B∩Ac))≤P(A∪B∪C)

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Posted Date: Sep 28, 2022 12:18 AM

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Using the axioms of probability, answer whether the following statements are always true or not. If they

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Discrete and Combinatorial Mathematics An Applied Introduction

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