donys Posted October 1, 2004 Share Posted October 1, 2004 Hi.. I have an exercise and i want to know if i solved it correct.Can you help? Three people A,B,C throw a coin (First is A,second comes B and finally C) The first that will bring head wins and the game stops. The exercise wants: a)The sample space b)Determinate the following events in the sample space i)A={A WINS} ii)B={B WINS) iii)(A union B)complement H:HEAD T:TAIL a)sample space{H,TH,TTH,TTT} bi)P(A)={H}=1/2 bii)P(B)={TH}=P(Acomplement intersection B)=1/4 biii)(A union B)complement=Acomplement intersection Bcomplement= {TTH,TTH}=1/4 is it corrent? Link to comment Share on other sites More sharing options...
pulkit Posted October 1, 2004 Share Posted October 1, 2004 P(A)=4/7 P(B)=2/7 P©=1/7 Since the game goes on till someone wins, your sample space is infinite {H,TH,TTH,TTTH,TTTTH,.......} Result is found by summing an infinite GP Link to comment Share on other sites More sharing options...
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