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

Q1. [1] § 14.1 Probability — A Theoretical Approach
Two dice are thrown together. The probability of getting the difference of numbers on their upper faces equals to 3 is :
  1. (a) $\dfrac{1}{9}$
  2. (b) $\dfrac{2}{9}$
  3. (c) $\dfrac{1}{6}$
  4. (d) $\dfrac{1}{12}$
Previously asked in CBSE board exam
2023 30/4/1 Q11
Generated by claude-sonnet-4-6 · 2026-06-15 10:30 · grounding rag
Model Answer

(a) $\dfrac{1}{9}$

Total outcomes = 36. Favourable outcomes (difference = 3): (1,4),(4,1),(2,5),(5,2),(3,6),(6,3) → 4 pairs. P = $\dfrac{4}{36} = \dfrac{1}{9}$.

Explanation

List pairs where |die1 − die2| = 3: (1,4),(4,1),(2,5),(5,2),(3,6),(6,3) — exactly 4 pairs out of 36. Examiners expect you to identify all favourable outcomes correctly; missing any pair is a common error.

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Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.