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Find the probability… (Class 10 Maths Basic 2026, Q24a)

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MathsCBSE Class 10 · Basic · Board exam 2026, set 430/5/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Basic 2026: question 24(a)

Set in the CBSE Class 10 board exam of 2026, paper 430/5/1, section B, question 24(a), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q24(a) · 2 marks · Very short answerProbability

Find the probability that a number selected at random from the numbers is (i) a prime number (ii) a multiple of 6.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/5/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Count carefully how many numbers there are from 30 to 60, both included.

Hint 2

List the primes and the multiples of 6 in this range, then use favourable/total.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. Total numbers from 30 to 60 .
    (i) Primes: 31, 37, 41, 43, 47, 53, 59 → 7 outcomes.

    1 mark

  2. (ii) Multiples of 6: 30, 36, 42, 48, 54, 60 → 6 outcomes.

    1 mark

Answer: (i) ; (ii)

Where the marks are

  • Lists 7 primes and gets (1 mark)
  • Lists 6 multiples of 6 and gets (1 mark)

Revise the chapter

  • Chapter: Probability (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Probability, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 430/5/1 (Basic): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.