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Home  >>  CBSE XII  >>  Math  >>  Probability
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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:

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

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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.
answered Jun 22, 2013 by balaji.thirumalai

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