Question

If A and B are two events such that `AsubB`and `P(B)!=0,`them which of the following is correct?(A) `P(A | B) =(P(B))/(P(A)` (B) `P(A|B)ltP(A)` (C) `P(A|B)geP(B)` (D) none of these

Answer 1

As, we are given that `A sub B`, it means
`P(AnnB) = P(A)`
Then,
`P(A|B) = (P(AnnB))/(P(B)) = (P(A))/(P(B))`
so, option A is incorect.
Now, we are given that,
`P(B)!=0` means `P(B)<=1`<br> If `P(B)<=1`, then it implies, `P(A|B)>=P(A)` which is the correct option.