Question

Suppose that P(A) = 0.25 and P(B) = 0.40 . If P(A|B)=0.20 , what is P(B|A) ?

Answer 1

• 0.32

Explanation:

Use of formula:

• P(A and B) = P(A)*P(B|A) and
• P(A and B) = P(B)*P(A|B)

According to above and based on given:

• P(A)P(B|A) = P(B)P(A|B)
• P(B|A) = P(A|B)*P(B)/P(A)
• P(B|A) = 0.20*0.40/0.25 = 0.32