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

Probability

Question

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

Solution

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

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Probability

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

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