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  • In a game two players, A and B take turns in throwing a pair of fair dice starting with player A and a total of scores on the two dice, in each throw is noted. A wins the game if he throws total of 6 before B throws a total of 7 and B wins the game if

In a game two players, A and B take turns in throwing a pair of fair dice starting with player A and a total of scores on the two dice, in each throw is noted. A wins the game if he throws total of 6 before B throws a total of 7 and B wins the game if he throws a total 7 before A throws a total six. The game stops as soon as either of the players wins. The probability of A winning the game is:
Option: 1 \frac{5}{31}
Option: 2 \frac{31}{61}
Option: 3 \frac{5}{6}
Option: 4 \frac{30}{61}

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