Q1. [1] § Chapter Opening and Epigraph § 14.1 Probability — A Theoretical Approach
Two different dice are rolled together. The probability that both the obtained numbers are less than 4, is
- A $\dfrac{2}{9}$
- B $\dfrac{7}{36}$
- C $\dfrac{1}{4}$
- D $\dfrac{2}{3}$
Previously asked in CBSE board exam
2026 30/4/1 Q10
Generated by claude-sonnet-4-6 · 2026-06-15 10:28 · grounding rag
Model Answer
Option C: $\dfrac{1}{4}$
Total outcomes = 36. Numbers less than 4 are 1, 2, 3. Favourable outcomes = 3 × 3 = 9. P = $\dfrac{9}{36} = \dfrac{1}{4}$.
Explanation
When two dice are rolled, total outcomes = 6 × 6 = 36. "Less than 4" means from {1, 2, 3} — 3 choices per die. Favourable pairs = 3 × 3 = 9. Many students mistakenly include 4; remember "less than 4" excludes 4 itself.
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