(4) If two events A and B are in sample space S, then P(S | A) = P(S | B) = 1, P(A| S) = P(A) and P(B|S) = P(B)

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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Prove the property

(4)
If two events A and B are in sample space S, then
P(S | A) = P(S | B) = 1, P(A|S) = P(A)
and
P(B|S) = P(B)
%D
Transcribed Image Text:(4) If two events A and B are in sample space S, then P(S | A) = P(S | B) = 1, P(A|S) = P(A) and P(B|S) = P(B) %D
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