Two independent events are always mutually exclusive.

Statement -1 : Mutually exclusive events, none of which being an impossible event, are not independent. Statement-2 : Non impossible independent events are not mutually exclusive.

Events Aa n dC are independent. If the probabilities relating A ,B ,a n dC are P(A)=1//5, P(B)=1//6; P(AnnC)=1//20 ; P(BuuC)=3//8. Then (a)events Ba n dC are independent (b)events Ba n dC are mutually exclusive events.(c) Ba n dC are neither independent nor mutually exclusive (d)events Ba n dC are equiprobable

Mutually exclusive events

If two events are independent then (a) They must be mutually exclusive (b) Sum of their probabilities must be equal to 1 (c) (a) and (b) are both correct (d) None of the above is correct

Two events A and B will be independent,if (A) A and B are mutually exclusive (B) P(A'B')=[1-P(A)][1-P(B)] (C) P(A)=P(B)P(A)+P(B)=1

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.

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

Two dice are rolled. Let A, B, C be the events of getting a sum of 2, a sum of 3 and a sum of 4 respectively. Then, show that (i) A is a simple event (ii) B and C are compound events (iii) A and B are mutually exclusive