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A game of chance consists… (Class 10 Maths Basic 2025, Q31)

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MathsCBSE Class 10 · Basic · Board exam 2025, set 430/2/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Basic 2025: question 31

Set in the CBSE Class 10 board exam of 2025, paper 430/2/1, section C, question 31, for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q31 · 3 marks · Short answerProbability

A game of chance consists of spinning a wheel which comes to rest at one of the numbers from 1 to 10 (as shown in the given figure) with equal probabilities. What is the probability that the wheel stops at (i) a prime number greater than 2 ? (ii) an odd number less than 9 ? (iii) a multiple of 4 ?

Figure in the paper: A wheel divided into 10 equal sectors numbered 1 to 10 in order, with a fixed pointer on the right side touching the wheel. Each sector has equal size. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 430/2/1.

Hints

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

Hint 1

There are 10 equally likely outcomes; list the numbers 1 to 10.

Hint 2

For each part, pick out the numbers that satisfy the condition — remember 1 is not prime and 9 is not less than 9.

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 equally likely outcomes = 10. (i) Primes greater than 2: 3, 5, 7 → 3 outcomes. .

    1 mark

  2. (ii) Odd numbers less than 9: 1, 3, 5, 7 → 4 outcomes. .

    1 mark

  3. (iii) Multiples of 4: 4, 8 → 2 outcomes. .

    1 mark

Answer: (i) 3/10; (ii) 2/5; (iii) 1/5

Where the marks are

  • (i) 3/10 (1 mark)
  • (ii) 4/10 or 2/5 (1 mark)
  • (iii) 2/10 or 1/5 (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Probability, one at a time, marked against the answer key and marking points.Back to the full paper2025 board paper, set 430/2/1 (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.