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Two dice are thrown together… (Class 10 Maths 2023, Q11)

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MathsCBSE Class 10 · Standard · Board exam 2023, set 30/4/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2023: question 11

Set in the CBSE Class 10 board exam of 2023, paper 30/4/1, section A, question 11, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q11 · 1 mark · MCQProbability

Two dice are thrown together. The probability of getting the difference of numbers on their upper faces equals to 3 is:

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

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 30/4/1.

Hints

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

Hint 1

Count the total number of outcomes for two dice.

Hint 2

List the pairs whose numbers differ by 3, counting both orders.

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. Throwing two dice gives equally likely outcomes.

  2. The outcomes with difference 3 are , which is 6 outcomes.

  3. . So the answer is option (C).

    1 mark

Answer: , option (C)

Where the marks are

  • Chooses option (C) (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 paper2023 board paper, set 30/4/1 (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.