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If the probability of… (Class 10 Maths SQP 2025-26, Q15)

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MathsCBSE Class 10 · Standard · Sample paper, session 2025-26 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard sample paper 2025-26: question 15

From the official CBSE sample question paper for 2025-26, section A, question 15, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q15 · 1 mark · MCQProbability

If the probability of the letter chosen at random from the letters of the word “Mathematics” to be a vowel is , then is equal to

  1. (A)
  2. (B)
  3. (C)
  4. (D)

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2025-26.

Hints

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

Hint 1

Count every letter, including the repeated ones.

Hint 2

Equate your probability to and cross-multiply.

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. MATHEMATICS has 11 letters, and the vowels are A, E, A, I (4 letters). So P(vowel) .

  2. gives , so . The answer is option (B).

    1 mark

Answer: x = 9/4, option (B)

Where the marks are

  • Finds P(vowel) , equates it to and gets , option (B) (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 2025-26 (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.