A,B and C throw a pair of dice in that order alternately till one of them gets a total of 9 and wins the game. Find their respective probabilities of winning, if A starts first.
Let E : getting a total of 9
So, clearly the probability if winning :
As A starts the game so he may have win in 1st, 4th, 7th
Now B may win in 2nd, 5th, 8th... trials
And finally