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

I'm guessing "a^b" is meant to denote the intersection, or possibly
`A^B` which could be the complement of
`B` in
`A`. I'll stick with the first assumption. I'll also read "a/b" as
`A\mid B`, the event of
`A` being conditioned on
`B`, though this also is ambiguous and could refer to the complement of B in A.

By definition of conditional probability,


`\mathbb P(A\mid B)=(\mathbb P(A\cap B))/(\mathbb P(B))=(\frac34)/(\frac45)=(15)/(16)`