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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