Compound event

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

Three coins are tossed once. Describe the following events associated with this random experiment: A= Getting three heads, B= Getting two heads and one tail, C= Getting three tails D= Getting a head on the first coin. i. Which pairs of events are mutually exclusive? ii. Which events are elementary events? iii. Which events are compound events?

Classical defn| Types of events| Conditional | Independent events

Questions on independent & dependend events || Three events

Classical defn, Types of events, Conditional , Independent events

In two independent events the probability of happening one event is 2/7 and probability of happening of second event is 1/5 . Find the probability of happening of both events.

If A' , B' are complementary events of two independent events A, B, then P(Acup B) =

Prove that if E and F are independent events, then so are the events E and F.

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