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 (i) mutually e

Answer

N/a

Explanation

In a toss of three coins the sample space
`S={HHH,HHT,HTH,THH,H"TT",THT,"TT"H,"TTT"}`
`A=` event of getting 3 heads `={HHH}`
`B=` event of getting 2 heads and one tail
`={HHT,HTH,THH}`
`C=` event of getting 3 tails `={"TTT"}`
`D=` event of getting head on first coin
`={HHH,HHT,HTH,H"TT"}`
(i) Here `AnnB=phiBnnC=phi,AnnC=phi,CnnD=phi`
`implies` A and B, B and C, A and C,C and D are mutually exclusive events.
(ii) A and C are elementary events (each has only one element)
(iii) B and D compound events (each has more than one element).