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Two friends Anil and Ashraf… (Class 10 Maths 2025, Q25)

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MathsCBSE Class 10 · Standard · Board exam 2025, set 30/4/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2025: question 25

Set in the CBSE Class 10 board exam of 2025, paper 30/4/1, 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 answerCompetency-basedProbability

Two friends Anil and Ashraf were born in the December month in the year 2010. Find the probability that :

  1. (i)

    they share same date of birth.

    0 marks
  2. (ii)

    they have different dates of birth.

    0 marks

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/4/1.

Hints

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

Hint 1

Fix Anil's birthday; how many possible dates are there for Ashraf?

Hint 2

'Different dates' is the complement of 'same date'.

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. December has 31 days. Whatever Anil's birth date, Ashraf's date has 31 equally likely possibilities.
    (i) Favourable: only 1 (the same date). P(same date)

    1 mark

  2. (ii) P(different dates)

    1 mark

Answer: (i) ; (ii)

Where the marks are

  • P(same date of birth) = 1/31 (1 mark)
  • P(different dates of birth) = 30/31 (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 paper2025 board paper, set 30/4/1 (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.