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Can two events be mutually exclusive and...

Can two events be mutually exclusive and independent simultaneously ?

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Let A and B be two events such that p( bar (AuuB))=1/6, p(AnnB)=1/4 and p( bar A)=1/4 , where bar A stands for the complement of the event A. Then the events A and B are (1) mutually exclusive and independent (2) equally likely but not independent (3) independent but not equally likely (4) independent and equally likely

Given P(A)=0.4 and P(A uu B)=0.7 . Find P(B) if (i) A and B are mutually exclusive (ii) A and B are independent events (iii) P(A//B)=0.4 (iv) P(B//A)=0.5

Knowledge Check

  • Two events A and B are independent then

    A
    A and B are mutually exclusive
    B
    P(A) + P(B) = 1
    C
    `P(AnnB') = P(A).P(B')`
    D
    P(A) = P(B)

    • Similar Questions

    Explore conceptually related problems

    Given P(A)=0.4 and P(AuuB)=0.7 . Find P(B) if (i) A and B are mutually exclusive (ii) A and B are independent events (iii) P(A//B)=0.4, (iv) P(B//A)=0.5

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    If A and B are mutually exclusive events, then

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    Three coins tossed. Describe. (i) Two events which are mutually exclusive. (ii) Three events which are mutully exclusive and exhaustive. (iii) Two events, which are not mutually exclusive. (iv) Two events which are mutually exclusive but not exhaustive. (v) Three event which are mutually exclusive but not exhaustive.

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