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A die is rolled once… (Class 10 Maths Basic 2023, Q29)

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MathsCBSE Class 10 · Basic · Board exam 2023, set 430/4/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Basic 2023: question 29

Set in the CBSE Class 10 board exam of 2023, paper 430/4/1, section C, question 29, for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q29 · 3 marks · Short answerProbability

A die is rolled once. Find the probability of getting:

  1. (i)

    an even prime number.

    0 marks
  2. (ii)

    a number greater than .

    0 marks
  3. (iii)

    an odd number.

    0 marks

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 430/4/1.

Hints

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

Hint 1

List all outcomes of a die and count favourable ones for each event.

Hint 2

2 is the only even prime; 'greater than 4' excludes 4 itself.

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. Sample space , total outcomes = 6. (i) Even prime number: only 2, so 1 favourable outcome.

    1 mark

  2. (ii) Numbers greater than 4: 5, 6, so 2 favourable outcomes.

    1 mark

  3. (iii) Odd numbers: 1, 3, 5, so 3 favourable outcomes.

    1 mark

Answer: (i) 1/6; (ii) 1/3; (iii) 1/2

Where the marks are

  • (i) (1 mark)
  • (ii) (1 mark)
  • (iii) (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 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.