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Robin and Williams are playing a game. An unbiased coin is tossed repeatedly. Robin wins as soon as the sequence of tosses HHT appears. Williams wins as soon as the sequence of tosses HTH appears. The game ends when one of them wins. What are the probabilities of winning for each player?
Explanation :
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Robin wins as soon as the sequence of HHT occurs ,
it means only in HHT Robin will win only , it means only in one outcome he'll win ,
So , Total no. of times coin tossed = 3 & winning outcome = 1
P(Winning) = No. of outcomes of winning / Total no. of outcomes
P(Winning) = 1/3 ,
So winning probability of Robin is 1/3 ,
So , winning probability of William is= 1- 1/3 = 2/3
