Skip to content

A labourer prints… (Class 10 Maths Basic SQP 2026-27, Q38)

questionbuddy.in/q/cbse-10-maths-2026-27-sqp-basic-q38-labourer-prints-shirts-day-supervisor

MathsCBSE Class 10 · Basic · Sample paper, session 2026-27 · 4 marks · Case-based

CBSE Class 10 Mathematics Basic sample paper 2026-27: question 38

From the official CBSE sample question paper for 2026-27, section E, question 38, for 4 marks. Try it first; the hints and our step-by-step solution are below.

Q38 · 4 marks · Case-basedCompetency-basedProbability

A labourer prints 400 T-shirts in a day. The supervisor checked the T-shirts and found that 312 prints were good, 54 prints were with minor defects and rest of the prints were of major defects.

Harish, a customer will buy a T-shirt only if it is good but a trader will buy, if it has no major defect. If a random T-shirt is picked, then

  1. (i)

    find the probability that Harish will buy a T-shirt.

    1 mark
  2. (ii)

    find the probability that a trader will buy the T-shirt.

    1 mark
  3. (iii)(A)

    find the probability that the T-shirt is not good.

    2 marks

  4. OR

    (iii)(B)

    find the probability that neither Harish nor trader buy the T-shirt.

    2 marks

Figure in the paper: A photograph of a garment factory floor: several workers in dark clothing sit at long work tables with machines and fabric, in a large industrial hall. See it in the official paper.

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.

Hints

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

Hint 1

First find how many T-shirts have major defects.

Hint 2

Harish accepts only good prints. The trader accepts both good and minor-defect prints.

Hint 3

'Not good' is the complement of 'good'. 'Neither buys' means the T-shirt has a major defect.

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 T-shirts = 400. Good = 312, minor defect = 54, major defect = .

  2. (i) Harish buys only a good T-shirt:

    1 mark

  3. (ii) The trader buys if there is no major defect (good or minor defect):

    1 mark

  4. (iii)(A)

    1 mark

  5. (iii)(A)

    1 mark

  6. (iii)(B) Neither buys only if the T-shirt has a major defect. Favourable outcomes .

    1 mark

  7. (iii)(B)

    1 mark

Answer: (i) 39/50; (ii) 183/200; (iii)(A) 11/50; (iii)(B) 17/200

Where the marks are

  • (i) P(Harish buys) = 312/400 = 39/50 (1 mark)
  • (ii) P(trader buys) = 366/400 = 183/200 (1 mark)
  • (iii)(A) Uses the complement 1 − 312/400 (1 mark); gets 88/400 = 11/50 (1 mark)
  • (iii)(B) Identifies 34 T-shirts with major defect (1 mark); probability 34/400 = 17/200 (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 paperSample paper 2026-27 (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.