Question

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

Answer 1

Answer:

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

Step-by-step 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

$P(B|A)=\frac{0.20}{0.50}$

$P(B|A)=0.40$

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