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JEE Main & Advanced Mathematics Probability Question Bank Conditional probability bayes theorem

  • question_answer
    If A and B are two events such that \[A\subseteq B,\] then \[P\,\left( \frac{B}{A} \right)=\]

    A)                 0             

    B)                 1

    C)                 1/2         

    D)                 1/3

    Correct Answer: B

    Solution :

                      Since \[A\subseteq B\Rightarrow A\cap B=B\cap A=A\]                 Hence \[P\left( \frac{B}{A} \right)=\frac{P(B\cap A)}{P(A)}=\frac{P(A)}{P(A)}=1\].


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