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JEE Main & Advanced Mathematics Probability Question Bank Self Evaluation Test - Probability-I

  • question_answer
    Two events A and B are such that P(not B) = 0.8, \[P(A\cup B)=0.5\] and \[P(A|B)=0.4.\] Then Pis equal to

    A) 0.28

    B) 0.32

    C) 0.38

    D) None of the above

    Correct Answer: C

    Solution :

    [c] \[\because P(\bar{B})=0.8\Rightarrow P(B)=0.2\] \[P(A\cup B)=0.5\And P(A|B)=0.4\] \[\because P(A\cap B)=P(B)\times P(A|B)=0.2\times 0.4=0.08\] \[\And P(A)=P(A\cup B)-P(B)+P(A\cap B)\] \[P(A)=0.5-0.2+0.08=0.38\]


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