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JEE Main 2024 Mathematics question

MathematicsProbabilityJEE Main 2024

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required and let a = P(X = 3), b = P(X ≥ 3) and c = P(X ≥ 6 | X > 3). Then is equal to .

Answer: 12

Solution

a = (5/6)²(1/6) = 25/216. b = P(X ≥ 3) = (5/6)² = 25/36. c = P(X ≥

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Question ID VK-016739