Given that P(A) = 0.3, P(B) = 0.2, and P(A and B) = 0.05, Find P(BIA) 0.5 0.667 0.45 0.25 1 0.167

MATLAB: An Introduction with Applications
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Given that P(A) = 0.3, P(B) = 0.2, and P(A and B) = 0.05,
Find P(BIA)
0.5
0.667
0.45
0.25
1
0.167
Transcribed Image Text:Given that P(A) = 0.3, P(B) = 0.2, and P(A and B) = 0.05, Find P(BIA) 0.5 0.667 0.45 0.25 1 0.167
Expert Solution
Step 1: Calculated probability.

Given

P(A) = 0.3,  P(B)= 0.2 ,P(A and B) = P(A intersection B)= 0.05, then

P(B|A) = fraction numerator P left parenthesis A intersection B right parenthesis over denominator P left parenthesis A right parenthesis end fraction space equals space fraction numerator 0.05 over denominator 0.3 end fraction=0.167

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