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Two dice are thrown at the same… (Class 10 Maths 2025, Q31)

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MathsCBSE Class 10 · Standard · Board exam 2025, set 30/1/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Standard 2025: question 31

Set in the CBSE Class 10 board exam of 2025, paper 30/1/1, 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

Two dice are thrown at the same time. Determine the probability that the difference of the numbers on the two dice is 2.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/1/1.

Hints

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

Hint 1

First count all possible outcomes when two dice are thrown.

Hint 2

List the pairs where or .

Hint 3

Probability = favourable outcomes ÷ total 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 together, the total number of possible outcomes is .

    1 mark

  2. Favourable outcomes (difference of the numbers is 2): . Number of favourable outcomes = 8.

    1 mark

  3. .

    1 mark

Answer:

Where the marks are

  • Total outcomes = 36 (1 mark)
  • Lists the 8 favourable outcomes (1 mark)
  • 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 paper2025 board paper, set 30/1/1 (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.