Question

Suppose that A,B⊂S such that Pr[A|B]=3/7, Pr[A]=9/20 and Pr[B′]=13/20. What is Pr[B|A′]?

Suppose that A,B⊂S such that Pr[A|B]=3/7, Pr[A]=9/20 and Pr[B′]=13/20. What is Pr[B|A′]?

Homework Answers

Answer #1

Solution:

Given:

Pr[A] = 9/20

then

Pr[A' ] = 1 - Pr[A]

Pr[A' ] = 1 - 9/20

Pr[A' ] = ( 20-9) / 20

Pr[A' ] = 11 / 20

Pr[B′]=13/20

then

Pr[B]=1 - Pr[B′]

Pr[B]=1 - 13/20

Pr[B]=(20-13) / 20

Pr[B]=7/20

Also we have:

Pr[A|B]=3/7

then

We have to find:

Pr[B|A′] =.........?

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