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Slips of letters of the… (Class 10 Maths Basic 2026, Q24b)

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MathsCBSE Class 10 · Basic · Board exam 2026, set 430/5/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Basic 2026: question 24(b)

Set in the CBSE Class 10 board exam of 2026, paper 430/5/1, section B, question 24(b), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q24(b) · 2 marks · Very short answerProbability

Slips of letters of the word 'BACKGROUND' are put in a bowl and thoroughly mixed. One slip is picked up at random. Find the probability that picked up slip's letter is (i) a vowel (ii) present in the word 'BALL'.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/5/1.

Hints

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

Hint 1

Write out the 10 letters of BACKGROUND, one slip each.

Hint 2

For (ii), check which of B, A, L actually appear on the slips.

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. BACKGROUND has 10 letters: B, A, C, K, G, R, O, U, N, D.
    (i) Vowels: A, O, U → 3.

    1 mark

  2. (ii) Letters of 'BALL' are B, A, L; of these only B and A occur in BACKGROUND → 2 slips.

    1 mark

Answer: (i) ; (ii)

Where the marks are

  • P(vowel) = (1 mark)
  • P(letter in BALL) = (1 mark)

Revise the chapter

  • Chapter: Probability (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Probability, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 430/5/1 (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.