If A and Bare events which are conditionally independent given a third event C, which of the following is not necessarily true? Select one: O a. None of the other choices Ο b P(An BIC') = 1-Ρ(AC)P(Β| ) Ο c P(B) A n C) = P(Β)C) ο dP(An BC) - P(Α | C) - P(A|C)P(B*| C) e. P(AN BNC) = P(A|C)P(BnC)
If A and Bare events which are conditionally independent given a third event C, which of the following is not necessarily true? Select one: O a. None of the other choices Ο b P(An BIC') = 1-Ρ(AC)P(Β| ) Ο c P(B) A n C) = P(Β)C) ο dP(An BC) - P(Α | C) - P(A|C)P(B*| C) e. P(AN BNC) = P(A|C)P(BnC)
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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Transcribed Image Text:If A and Bare events which are conditionally independent given a third event C, which of the following is not necessarily
true?
Select one:
O a.
None of the other choices
O b. P(AN B|C°) = 1 – P(A|C)P(B|C)
O c P(B)An C) = P(Β| C)
O d. P(AN B|C) = P(A|C) – P(A|C)P(B°|C)
O e. P(ANBNC) = P(A|C)P(BnC)
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