Question

If P(A ∩ B) = 0.12 and P(A|B) = 0.2, then what is P(B|A)?

A) 0.2
B) 0.12
C) 0.4
D) 0.6

Answer 1

To find P(B|A), we can use the formula for conditional probability: P(B|A) = P(A ∩ B) / P(A). Given that P(A ∩ B) = 0.12 and P(A|B) = 0.2, we can substitute these values into the formula: P(B|A) = 0.12 / 0.2 = 0.6. Therefore, the correct answer is D) 0.6.

Step-by-step explanation:

To find P(B|A), we can use the formula for conditional probability:

P(B|A) = P(A ∩ B) / P(A)

Given that P(A ∩ B) = 0.12 and P(A|B) = 0.2, we can substitute these values into the formula:

P(B|A) = 0.12 / 0.2 = 0.6

Therefore, the correct answer is D) 0.6.