   Chapter 9.9, Problem 2TY ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Bayes’ theorem says that if a sample space S is a union of mutually disjoint events B 1 ,   B 2 ,   … ,   B n , each with a nonzero probability, if A is an event

To determine

The appropriate solution for the given fill in the blanks.

Explanation

Given information:

Sample space S is a union of mutually disjoint events B1,B2,.....,Bn suppose A is an event in S and suppose A and all the disjoint events have non-zero probabilities, If k is an integer with 1kn.

Calculation:

According to bays’ theorem,

If sample space S is a union of mutually disjoint events B1,B2,.....,Bn suppose A is an event in S and suppose A and all the disjoint events have non-zero probabilities, If k is an integer with 1kn.

Then,

P(Bk|A)=P(A|Bk)P(Bk)P(A|B1)P(B1)+P(A|B2)P(B2)+

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