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Three coins are tossed… (Class 10 Maths Basic 2025, Q5)

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MathsCBSE Class 10 · Basic · Board exam 2025, set 430/4/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2025: question 5

Set in the CBSE Class 10 board exam of 2025, paper 430/4/1, section A, question 5, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q5 · 1 mark · MCQProbability

Three coins are tossed together. The probability that only one coin shows tail, is:

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

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 430/4/1.

Hints

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

Hint 1

List all the outcomes when three coins are tossed.

Hint 2

Count the outcomes that have exactly one T.

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. Tossing three coins gives 8 equally likely outcomes.

  2. Exactly one tail occurs in TFF-type cases: THH, HTH, HHT, which is 3 outcomes. So . Hence option (B).

    1 mark

Answer: , option (B)

Where the marks are

  • Counts 3 favourable outcomes out of 8 to get (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 430/4/1 (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.