For any events ?A? nd ?B ?with P(B)>0, show that P(A|B)+ P(A ’|B)= 1

Answer: Step 1: For any events A and B ith P(B) > 0. To show that P(A|B)+ P(A/B) = 1. Let A be an event. Then P(A) = 1 - P(A) Therefore, P(A/B) = 1- P(A/B) P(A/B) +P(A/B) = 1

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Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 56e

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ISBN: 9780321629111
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Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 56E

For any events ?A? nd ?B ?with P(B)>0, show that P(A|B)+ P(A ’|B)= 1

Step-by-Step Solution:
##### Textbook: Probability and Statistics for Engineers and the Scientists

##### Edition: 9

##### Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

##### ISBN: 9780321629111

Answer: Step 1: For any events A and B ith P(B) > 0. To show that P(A|B)+ P(A/B) = 1. Let A be an event. Then P(A) = 1 - P(A) Therefore, P(A/B) = 1- P(A/B) P(A/B) +P(A/B) = 1

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###### Chapter 2, Problem 56E is Solved

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For any events A nd B with P(B)>0, show that P(A|B)+ P(A