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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?

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    try to add some info as to what you have tried and where the question is from. Copy-Pasting the question is generally not a good way to get the answer you need.2012-10-16
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    A player's result is the sum of a series of doubles ($\frac 56$ of the time none) followed by a non-double throw. You can calculate the probability distribution of the non-double throw by deleting some cases from the usual 36 of two dice. Calculating the expectation of the series of doubles is not hard, it is only 1.4 points. I don't see a neat way to get the exact distribution, but the generating function experts can probably do so. Then you can add the two distributions to get the distribution of a full turn.2013-04-25

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