Skip to content

A carton consists of 60 shirts… (Class 10 Maths 2024, Q25)

questionbuddy.in/q/cbse-10-maths-2024-30-5-1-q25-carton-consists-shirts-good-major

MathsCBSE Class 10 · Standard · Board exam 2024, set 30/5/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2024: question 25

Set in the CBSE Class 10 board exam of 2024, paper 30/5/1, 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 carton consists of 60 shirts of which 48 are good, 8 have major defects and 4 have minor defects. Nigam, a trader, will accept the shirts which are good but Anmol, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. Find the probability that it is acceptable to Anmol.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 30/5/1.

Hints

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

Hint 1

Which shirts does Anmol reject? All others he accepts.

Hint 2

Count shirts without major defects and divide by the total 60.

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. Anmol rejects only shirts with major defects, so he accepts good shirts and those with minor defects: (i.e. ) favourable outcomes.

    ½ mark

  2. P(shirt acceptable to Anmol)

    1½ marks

Answer:

Where the marks are

  • Number of shirts acceptable to Anmol = 52 (½ mark)
  • Probability (1½ marks)

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 30/5/1 (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.