Question

Suppose P(A)=0.9, P(B)=0.4 and P(B|A)=0.2. What is P(A|B)?

Answer 1

The answer is 0.45

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Work Shown:

P(B|A) = P(B and A)/P(A)
0.2 = P(B and A)/0.9
0.2*0.9 = P(B and A)
0.18 = P(B and A)
P(B and A) = 0.18
P(A and B) = 0.18

P(A|B) = P(A and B)/P(B)
P(A|B) = 0.18/0.4
P(A|B) = 0.45

Answer 2

Answer: 0.45

Step-by-step explanation:

just did it on Apec