Statement-1: P(E/A) P(A/E)P(E).

Question

Statement-1: $P(E/A)\ge P(A/E)P(E)$. Statement-2: $P(A/E)\ge P(A\cap E)$.

Accepted Answer

Both follow directly since $P(A\cap E)=P(A/E)P(E)=P(E/A)P(A)$, and $P(E)\le1 \Rightarrow P(A/E)\ge P(A\cap E)$, and similarly for the first.

Solutions · 1