Question

Events A and B from a partition of a sample space S, with P(A)=0.3 AND P(B)=0.7 E is an event in S with P(E|A)=0.2. AND P(E|B)=0.4, find P(A|E)

Answer 1

not possible
\[P(E|B)=\frac{P(E\cap B)}{P(B)}\] and if \(P(B)=0\) then this is undefined

Answer 2

oh im sorry P(B)=0.7

Answer 3

HOW DO I GET P(E INTERSECTION B)