Question

According to the general equation for conditional probability, if P(A^B)=3/4 and P(B)=4/5, what is P(A B)?

Answer 1

the correct answer is 15/16

Answer 2

The value of P(A|B) is
`(15)/(16)`.

Explanation:

Given information:
`P(A\cap B)=(3)/(4)`,
`P(B)=(4)/(5)`

Conditional probability

`P(A|B)=(P(A\cap B))/(P(B))`

`P(A|B)=((3)/(4))/((4)/(5))`

`P(A|B)=(3)/(4)* (5)/(4)`

`P(A|B)=(15)/(16)`

Therefore the value of P(A|B) is
`(15)/(16)`.