Home Maths Probability JEE (Main) / AIEEE Problems ( Previous Year ) Two players of equal skill, A and B, are pla…
Maths Probability JEE (Main) / AIEEE Problems ( Previous Year ) Single Correct MCQ
Published on: August 14, 2026

Two players of equal skill, A and B, are playing a set of games; they leave off playing when A gets 3 points and B gets 2 (in each game winner get one point). If the stake is Rs.1600, what share ought each to take?

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The correct answer is:
A

500 Rs. & 1100 Rs.

Sol. A may win in following manner

(i) W W W

(ii) W W L W

(iii) W L W W

(iv) L W W W

P = + 3 C 1 = + = ⇒ P =

⇒ expectation of A is × 1600 = Rs 500 ⇒ expectation of B is × 1600 = Rs 1100

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