If the events B1, B2, . ., Bk constitute a partition of the sample space S such that||P(B¡)+0 for i = 1, 2, . ., k, then for any event A of S,P(B;) #0 for i = 1, 2, ...,k, then for any event A of S,kkP'A) = ΣPB; η Α) = Σ ΡΒ )P(Α | Β:) .i=1i=1 ВзB1B5BAAB2Figure 14: Partitioning the sample space S.

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Answered: If the events B1, B2, ..., Bk…

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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If the events B1, B2, ..., Bk constitute a partition of the sample space S such that P(B;) + 0 for i = 1, 2,. k, then for any event A of S, k P(A) = P(B; n A) = P(B÷)P(A|B;).