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Mathematics, 07.03.2020 00:32 levilugar

GAt the beginning of the game, all the players have n dollars as their initial balance. All the player start at property 0, and players take turns according to the increasing order of their id. When it is a player’s turn, the player tosses two dice to determine the number of steps they need to move in a clockwise direction. The face value of the two 6-sided dice are summed to find the number of steps. The player moves this number of steps and lands on the corresponding property. If this property is owned by someone other than this player, this player needs to pay rent to the owner. Otherwise, if this property has no owner yet, it will be owned by this player. Property prices increase linearly from 1 to n between the first and final properties

A and B throw a Fair die one after another. Whoever throws 6 first wins. What is the probability that A wins ?

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