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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?

AB

BD

CBoth B & D

DNone of these

Answer:

C. Both B & D

Read Explanation:

A = { ( H H H) } B = { (H H T) ( T H H ) ( H T H)} C = { (T T T)} D = {(H H H ) (H H T) ( H T H) (H T T)} An event is compound if it contains more than one element So here B, D are compound events


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