Given P(A) = 0.5, P(B)=0.5, P(C) = 0.3. A and B are independent, A and C are disjoint. What is the largest possible value for P(B n C)?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Given P(A) = 0.5, P(B)=0.5, P(C) = 0.3. A and B are independent, A and C are disjoint.
What is the largest possible value for P(B nC)?
Transcribed Image Text:Given P(A) = 0.5, P(B)=0.5, P(C) = 0.3. A and B are independent, A and C are disjoint. What is the largest possible value for P(B nC)?
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Step 1: We have given that

P(A)=0.5, P(B)=0.5, P(C)=0.3

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