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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 toss" which events are compound ?

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Toolbox:
• If there is atleast two or more sample points,then the event is compound.
Given three coins are tossed.
Therefore,the sample space (ie) $2^3=8$ possible outcome
$S=\{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\}$
A=Three heads shows ={HHH}
B=Two heads and one tail show ={HHT,HTH,THH}
C=Three tail show ={TTT}
D=A head shows on the first toss={HHH,HHT,HTH,HTT}
Events B,D have two or more sample point.
Therefore B and D are compound events
answered Jun 27, 2014