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

Q1. [1] § 14.1 Probability — A Theoretical Approach § 14.2 Summary
A die is thrown once. Probability of getting a number other than 3 is :
  1. (a) $\frac{1}{6}$
  2. (b) $\frac{3}{6}$
  3. (c) $\frac{5}{6}$
  4. (d) 1
Previously asked in CBSE board exam
2026 30/1/1 Q18
Generated by claude-sonnet-4-6 · 2026-06-15 10:30 · grounding rag
Model Answer

(c) $\dfrac{5}{6}$

Total outcomes = 6. Favourable outcomes (numbers other than 3) = {1, 2, 4, 5, 6} = 5. So P = $\dfrac{5}{6}$.

Explanation

The examiners expect you to identify the favourable outcomes (all numbers except 3) and apply the formula P(E) = favourable outcomes ÷ total outcomes. Alternatively, P(not 3) = 1 − P(3) = 1 − 1/6 = 5/6 using complementary events.

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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.