Mathematics · 2020
JEE Main · 4 September 2020, Shift 2 · Q68
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…
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 a total of $\displaystyle 6$ before $\displaystyle B$ throws a total of $\displaystyle 7$ and B wins the game if he throws a total of $\displaystyle 7$ 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 :
Official answer
(4)
$\displaystyle \frac{30}{61}$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.