JEE Math Practice Question
$A$ and $B$ alternately throw a pair of dice. A wins if he throws a sum of 5 before $B$ throws a sum of 8 , and $B$ wins if he throws a sum of 8 before $A$ throws a sum of 5 . The probability, that A wins if A makes the first throw, is
- A.$\frac{8}{19}$
- B.$\frac{9}{19}$
- C.$\frac{8}{17}$
- D.$\frac{9}{17}$
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