The source is given sample suggestions for probability, and its equivalent in conditional probability has been defined.

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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The source is given sample suggestions for probability, and its equivalent in conditional probability has been defined.

Prove the conditional rule.

Rule
Conditional rule
Probability axiom
completion rule
0< P(E) < 1
P(E) = 1 – P(E“)
P(EF) = P(E|F)P(F)
0 < P(E\G) <1
P(E|G) = 1 – P(E°\G)
P(EF|G) = P(E|FG)P(F|G)
Chain Rule
%3D
%3D
Transcribed Image Text:Rule Conditional rule Probability axiom completion rule 0< P(E) < 1 P(E) = 1 – P(E“) P(EF) = P(E|F)P(F) 0 < P(E\G) <1 P(E|G) = 1 – P(E°\G) P(EF|G) = P(E|FG)P(F|G) Chain Rule %3D %3D
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