If B1, B2, .., B, be a set of exhaustive and mutually exclusive events associated with a random experiment andA is another event associated with (or caused by) Bi, then P(B,)× P(A/ B,) P(B,IA) = -, i = 1, 2, ..., n %3D P(B,)x P(A/B,) i=1

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Prove the theorem

If B1, B2, ..., B, be a set of exhaustive and mutually exclusive events associated
with a random experiment and A is another event associated with (or caused by)
B, then
Р (В) х Р(А/B,)
P(B,IA) =
-, i = 1, 2, ..., n
%3D
P(B,)× P(A/ B,)
i = 1
Transcribed Image Text:If B1, B2, ..., B, be a set of exhaustive and mutually exclusive events associated with a random experiment and A is another event associated with (or caused by) B, then Р (В) х Р(А/B,) P(B,IA) = -, i = 1, 2, ..., n %3D P(B,)× P(A/ B,) i = 1
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