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Mutually exclusive events

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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.