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Jee Main 2025Medium JEE math MCQ

\(A\) 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
  1. A. \(\frac{9}{17}\)
  2. B. \(\frac{9}{17}\)
  3. C. \(\frac{9}{17}\)
  4. D. \(\frac{8}{17}\)

Solution

The correct option is **B**. (B. \(\frac{9}{17}\))

MATH

mediumPYQ Reworded
Question
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AA and BB alternately throw a pair of dice. AA wins if he throws a sum of 5 before BB throws a sum of 8, and BB wins if he throws a sum of 8 before AA throws a sum of 5. The probability, that AA wins if AA makes the first throw, is
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