Question

P(A)= .50 P(B)=.80 P(A and B)=.20 what is P(B/A)

Answer 1

Final answer is
`P(B|A)=0.40`.

Explanation:

Given that P(A)= .50, P(B)=.80 , and P(A and B)=.20.

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

So apply the formula of compound probability :

P(A and B) = P(A)*P(B/A)

Plug the given values into above formula

0.20 = 0.50*P(B/A)

0.50*P(B/A) = 0.20

`P(B|A)=(0.20)/(0.50)`

`P(B|A)=0.40`

Hence final answer is
`P(B|A)=0.40`.