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Two dice are rolled together… (Class 10 Maths 2026, Q5)

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MathsCBSE Class 10 · Standard · Board exam 2026, set 30/3/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2026: question 5

Set in the CBSE Class 10 board exam of 2026, paper 30/3/1, section A, question 5, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q5 · 1 mark · MCQProbability

Two dice are rolled together. The probability that the sum of the numbers obtained is divisible by 6, is :

  1. (A)
  2. (B)
  3. (C)
  4. (D)

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/3/1.

Hints

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

Hint 1

The sum of two dice is between 2 and 12. Which of these sums are divisible by 6?

Hint 2

Count the pairs giving sum 6 and sum 12, then divide by 36.

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. There are 36 outcomes in total. The sums divisible by 6 are 6 and 12.

  2. Sum 6: (1,5), (2,4), (3,3), (4,2), (5,1). Sum 12: (6,6). That makes 6 favourable outcomes.

  3. , which is option (A).

    1 mark

Answer: ; option (A)

Where the marks are

  • Chooses option (A) (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 paper2026 board paper, set 30/3/1 (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.