Question

According to the general equation for conditional probability, if P(A^B)=4/7 and P(B)=7/8, what is P(A B)?

Answer 1

d.32/49 is your correct answer

Answer 2

Answer: P(A|B)=
`(32)/(49)`

Explanation:

Since we have given that

P(A∩B)=
`(4)/(7)`

and P(B) =
`(7)/(8)`

We need to find P(A|B).

As we know the formula for "Conditional Probability ":

`P(A\mid B)=(P(A\cap B))/(P(B))\\\\P(A\mid B)=((4)/(7))/((7)/(8))\\\\P(A\mid B)=(4* 8)/(7* 7)\\\\P(A\mid B)=(32)/(49)`

Hence, P(A|B) =
`(32)/(49)`