GATE AG 2025 • Q8 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Data Interpretation

Question Statement:

A fair six-faced die is rolled thrice. What is the probability of rolling ‘6’ exactly once?

Options:

  • (A) 75/216
  • (B) 1/6
  • (C) 1/18
  • (D) 25/216

Official Answer Key:

A

Step-by-Step Solution & Explanation

P(exactly one 6 in 3 rolls) = C(3,1)×(1/6)¹×(5/6)² = 3 × (1/6) × (25/36) = 75/216.

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