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.

Refer to question 6 above, state true or false: (give reason for your answer) (i) A and B are mutually exclusive. (ii) A and B are mutually exclusive and exhaustive. (iii) A=B^(prime) (iv) A and C are mutually exclusive. (v) A and B^are mutually exclusive (vi) A^ , B^ and C are mutually exclusive and exhaustive.

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.

Mutually exclusive events

If A,B and C are mutually exclusive independent and exhaustive events then what is the probability that they occur simultaneously?

If A and B are mutually exclusive events, then they will be independent also.

Two mutually exclusive events are always independent.