If A and B are any two events such that P(B) = P(A and B), then which of the following is correct

$P(A|B) = 1$

The correct answer is Option (2) → $P(A|B) = 1$

$P(B)=P(A\cap B)$

$P(A\mid B)=\frac{P(A\cap B)}{P(B)}$

$P(A\cap B)=P(B)$ gives

$P(A\mid B)=\frac{P(B)}{P(B)}$

$P(A\mid B)=1$

B is therefore a subset of A because B occurs only when A occurs.

Final answer: $P(A\mid B)=1$