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GATE 2025 AG – Question 8

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice

A fair six-sided die is rolled three times. Find probability of exactly one 6.

  1. 75/216
  2. 1/6
  3. 1/18
  4. 25/216

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Correct answer: (A) 75/216

Explanation

Choose which roll is 6 in three ways. Each pattern has probability $(1/6)(5/6)^2$. Total = 3×25/216 = **75/216, A**.

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