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A bag contains 4 red, 3 blue… (Class 10 Maths 2023, Q25)

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MathsCBSE Class 10 · Standard · Board exam 2023, set 30/1/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2023: question 25

Set in the CBSE Class 10 board exam of 2023, paper 30/1/1, section B, question 25, for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q25 · 2 marks · Very short answerProbability

A bag contains 4 red, 3 blue and 2 yellow balls. One ball is drawn at random from the bag. Find the probability that drawn ball is (i) red (ii) yellow.

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

Hints

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

Hint 1

First count the total number of balls.

Hint 2

Probability = (favourable outcomes) ÷ (total outcomes).

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 number of balls , so there are 9 equally likely outcomes.

  2. (i) Number of red balls = 4, so .

    1 mark

  3. (ii) Number of yellow balls = 2, so .

    1 mark

Answer: (i) ; (ii)

Where the marks are

  • Probability of red (1 mark)
  • Probability of yellow (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 30/1/1 (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.