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Two dice are rolled together… (Class 10 Maths 2024, Q16)

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MathsCBSE Class 10 · Standard · Board exam 2024, set 30/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2024: question 16

Set in the CBSE Class 10 board exam of 2024, paper 30/1/1, section A, question 16, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q16 · 1 mark · MCQProbability

Two dice are rolled together. The probability of getting sum of numbers on the two dice as 2, 3 or 5, is:

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

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 30/1/1.

Hints

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

Hint 1

List the ordered pairs for each required sum.

Hint 2

Count the pairs for sums 2, 3 and 5 separately and add.

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 equally likely outcomes. Sum 2: (1,1), which is 1 outcome. Sum 3: (1,2), (2,1), which is 2 outcomes. Sum 5: (1,4), (4,1), (2,3), (3,2), which is 4 outcomes.

  2. Favourable outcomes , so . The answer is option (A).

    1 mark

Answer: , option (A)

Where the marks are

  • Counts 7 favourable outcomes out of 36, 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 paper2024 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.