Let A and B be independent events with P(A) = 0.3 and P(B) = 0.4. Find P(B | A) - Wired Faculty

Probability

Question

Let A and B be independent events with P(A) = 0.3 and P(B) = 0.4. Find P(B | A)

Solution

P(A) = 0.3, P(B) = 0.4
P(B | A) = $fraction numerator straight P left parenthesis straight B space intersection space straight A right parenthesis over denominator straight P left parenthesis straight A right parenthesis end fraction space equals space fraction numerator straight P left parenthesis straight A intersection straight B right parenthesis over denominator straight P left parenthesis straight A right parenthesis end fraction space equals fraction numerator 0.12 over denominator 0.3 end fraction space equals space 12 over 100 cross times 10 over 3 space equals 4 over 10 space equals space 0.4$

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Probability

Let A and B be independent events with P(A) = 0.3 and P(B) = 0.4. Find P(B | A)

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