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Mutually exclusive events

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Knowledge Check

  • Consider the following statements: 1. Two events are mutually exclusive if the occurrence of one event prevents the occurrence of the other. 2. The probability of the union of two mutually exclusive events is the sum of their individual probabilities. Which of the above statements is/are correct?

    A
    Only 1
    B
    Only 2
    C
    both 1 and 2
    D
    Neither 1 nor 2

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    mutually exclusive and exhaustive events

    Say True or False giving reasons: (i) P(A)=1/3,P(B)=2/3, A and B are mutually exclusive and exhaustive (ii) P(A)=0.4, P(B)=0.25, P(A orB)=0.65. A and B are mutually exclusive events. (iii)P(A)=0.3, P(B)=.45, P(A and B) =0.2, A and B are not mutually exclusive events. (iv) P(A)=0.35, P(B)=0.65, A and B are complementary events.

    If event A and B are mutually exclusive and exhaustive events and P(A)=(1)/(3 )P(B) then Find P (A)

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

    Three coins are tossed. Describe i. Two events A and B which are mutually exclusive. ii. Two events A and B and C which are mutually exclusive and exhaustive iii. Three events A , B, and C which are mutually exclusive iv. Two events A and B which are mutually exclusive but not exhaustive.

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