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Mathematics — Standard (041) — CBSE Class 10 board question

Q1. [1] § 14.1 Probability — A Theoretical Approach
A die is thrown once. The probability of getting a number which is not a factor of 36, is:
  1. A $\dfrac{1}{6}$
  2. B $\dfrac{1}{3}$
  3. C $\dfrac{1}{2}$
  4. D $\dfrac{5}{6}$
Previously asked in CBSE board exam
2025 30/3/1 Q14
Generated by claude-sonnet-4-6 · 2026-06-15 10:29 · grounding rag
Model Answer

Factors of 36 from {1,2,3,4,5,6} are: 1, 2, 3, 4, 6 (5 numbers). Number not a factor of 36 = 5 (only).
P(not a factor of 36) = 1/6. Answer: (A) $\dfrac{1}{6}$

Explanation

List factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. From a die (1–6), factors of 36 are 1, 2, 3, 4, 6 — that's 5 numbers. Only 5 is not a factor of 36. So favourable outcomes = 1, total = 6, giving probability = 1/6.

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