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Unit 1 · Discrete Structures and Optimisation Paper 2 CS · June 2024 (Re-Exam)

Match List - I with List - II.

List - I (Queries) List - II (Probability)

(A) A bag contains 6 (I) 3 / 68 white and 4 red balls. Two balls are drawn at random. What is the chance they will the same color?

Figure

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Correct answer: D. (A)-(IV), (B)-(III), (C)-(I), (D)-(II)

Explanation

(A) Same colour: [C(6,2) + C(4,2)] / C(10,2) = 21/45 = 7/15. (B) King or queen: 8/52 = 2/13. (C) 1 red, 2 white: 6 × C(4,2) / C(18,3) = 36/816 = 3/68. (D) 2 blue, 1 red: C(8,2) × 6 / 816 = 168/816 = 14/68.

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