14. (i) A and B are two events such that P(4) = 1/4, P(B) = 1/3, and P(4 - B) = 1/2, Find PUB/A). (ii) Prove that two mutually exclusive events with positive probabilities cannot be independent.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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14. (i) A andB are two events such that P(4) =
%3D
1/4, P(B) = 1/3, and P(4 - B) = 1/2,
Find PUB/A).
(ii) Prove that two mutually exclusive events
with positive probabilities cannot be
independent.
Transcribed Image Text:14. (i) A andB are two events such that P(4) = %3D 1/4, P(B) = 1/3, and P(4 - B) = 1/2, Find PUB/A). (ii) Prove that two mutually exclusive events with positive probabilities cannot be independent.
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