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# If A and B are any two events such that $P(A) + P(B) - P(A \text{and} B) = P(A)$, then choose the correct answer:

$\begin{array} (A)\: P(B|A) = 1 \quad &(B)\: P(A|B) = 1 \\ (C)\: P(B|A) = 0 \quad & (D)\: P(A|B) = 0 \end{array}$

Given $P(A)+P(B)−P(A∩B)=P(A)\rightarrow P(B)=P(A\cap B)$
Therefore $P(A|B)=1$ is the right answer.