Question

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

Answer 1

The rule for conditional probability states that

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

Since we're given both numerator and denominator, we only need to plug the values in:

`P(A|B) = ((4)/(7))/((7)/(8)) = (4)/(7)\cdot (8)/(7) = (32)/(49)`