A dice game played by two players is like this: each player throw two dice and sum theier results; that is the number of points the player scored. Whoever scores more, wins.
One additional detail is that if the numbers of both dices of a player are equal, the player can roll the two dice again and the sum of these points will be added to the previous sum - and so on, indefinitly.
A) A player has k points. Calculate his probability of victory. B) A group of friends decided to play the same game with n players. Find the winning probability for a player who scored k points.
I've tried for some time to do this, but it seems impossible to me. I don't know much of this kind of probability. Does anyone know a way to solve this?