Answered: Suppose that events A1, . . . , An form…

Suppose that events A1, . . . , An form a partition of the fundamental set Ω and P(Ai) > 0 for all i = 1,...,n. Prove that if B is an event and P(B | Ai) = p for all i = 1,...,n, then p = P(B).

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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Suppose that events A1, . . . , An form a partition of the fundamental set Ω and P(Ai) > 0 for all i = 1,...,n. Prove that if B is an event and P(B | Ai) = p for all i = 1,...,n, then p = P(B).

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