Question

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

A. 35/36
B. 15/16
C. 8/9
D. 24/25

Answer 1

Given:

`P(A\cap B)=(3)/(4)`

`P(B)=(4)/(5)`

To find:

The
`P(A|B)`.

Solution:

Conditional probability:

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

Substituting the given values, we get

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

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

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

Therefore, the correct option is B.