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?

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. Is event C compound ?

Three coins are tossed once. Let A denote the event three heads show'', B denote the event ''two heads and one tail show'', C denote the event'' three tails show and D denote the event 'a head shows on the first coin''. Which events are: (i) mutually exclusive ? (ii) simple ? (iii) Compound ?

State and Prove the theorem of compound probability. If events are independent, what will be the form of the theorem?

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?

Three coins are tossed once. Let A denote the event ‘three heads show”, B denote the event “two heads and one tail show”, C denote the event” three tails show and D denote the event ‘a head shows on the first coin”. Which events are Compound?

Three coins are tossed once . Let A denote the event "three heads show" , B denote the event "two heads and one tail show", C denote the event " three tails show" and D denote the event "a head shows at the first coin". Which events are Compound?

Three coins are tossed once. Let A denote the event "Three heads snow”, B denote the event “two heads and one tail show”, C denote the event” three tails show and D denote the event 'a head shows on the first coin”. Which events are Compound?