JEE Math Practice Question

In a game two players A and B take turns in throwing a pair of fair dice starting with player A and total of scores on the two dice, in each throw is noted. A wins the game if he throws total a of 6 before B throws a total of 7 and B wins the game if he throws a total of 7 before A throws a total of six. The game stops as soon as either of the players wins. The probability of A winning the game is :

1. A.$${5 \over {6}}$$
2. B.$${5 \over {31}}$$
3. C.$${31 \over {61}}$$
4. D.$${30 \over {61}}$$