Question

P(A) = 0.40 P(B) = 0.50 P(A and B) = 0.10 What is P(B/A)

Answer 1

Answer: 0.25

Explanation:

Answer 2

Final answer is
`P(B|A) = 0.25`.

Explanation:

We have been given values of

P(A) = 0.40, P(B) = 0.50, and P(A and B) = 0.10

Now we need to find about what is the value of P(B/A).

Apply formula
`P (A \, and \, B)=P(A) * P(B|A)`

Plug the given values into above formula:

`P (A \, and \, B)=P(A) * P(B|A)`

`0.10 =0.40 * P(B|A)`

`(0.10)/(0.40) =P(B|A)`

`0.25 =P(B|A)`

`P(B|A) = 0.25`

Hence final answer is
`P(B|A) = 0.25`.