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Two dice are thrown… (Class 10 Maths SQP 2026-27, Q25)

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MathsCBSE Class 10 · Standard · Sample paper, session 2026-27 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard sample paper 2026-27: question 25

From the official CBSE sample question paper for 2026-27, section B, question 25, for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q25 · 2 marks · Very short answerProbability

Two dice are thrown simultaneously. Find the probability that the product of the numbers appearing on them is a prime number.

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.

Hints

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

Hint 1

Think about when a product of two numbers from 1 to 6 can be a prime number.

Hint 2

One die must show 1 and the other must show a prime. Count these pairs out of the 36 possible outcomes.

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. When two dice are thrown, the total number of outcomes is .

    ½ mark

  2. A product of two natural numbers is prime only when one number is 1 and the other is prime (2, 3 or 5).

    Favourable outcomes: . That is 6 outcomes.

    ½ mark

  3. .

    1 mark

Answer:

Where the marks are

  • States total outcomes = 36 (½ mark)
  • Lists the 6 favourable outcomes (½ mark)
  • Gets probability (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 paperSample paper 2026-27 (Standard): 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.