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Two dice are rolled… (Class 10 Maths Basic 2026, Q30)

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MathsCBSE Class 10 · Basic · Board exam 2026, set 430/4/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Basic 2026: question 30

Set in the CBSE Class 10 board exam of 2026, paper 430/4/1, section C, question 30, for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q30 · 3 marks · Short answerProbability

Two dice are rolled together. Find the probability that :

  1. (i)

    the sum of the numbers obtained is .

    0 marks
  2. (ii)

    the product of the numbers obtained is .

    0 marks

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/4/1.

Hints

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

Hint 1

How many outcomes are there in total when two dice are rolled?

Hint 2

List ordered pairs — remember and are different.

Hint 3

Count pairs whose sum is 10, then pairs whose product is 6.

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 possible outcomes when two dice are rolled .

  2. (i) Sum 10: favourable outcomes , i.e. 3.

    1½ marks

  3. (ii) Product 6: favourable outcomes , i.e. 4.

    1½ marks

Answer: (i) ; (ii)

Where the marks are

  • Lists 3 favourable outcomes for sum 10 and gets (1½ marks)
  • Lists 4 favourable outcomes for product 6 and gets (1½ marks)

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 paper2026 board paper, set 430/4/1 (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.