Skip to content

A coin is dropped at… (Class 10 Maths Basic 2025, Q23a)

questionbuddy.in/q/cbse-10-maths-2025-430-4-1-q23a-coin-dropped-random-rectangular-region

MathsCBSE Class 10 · Basic · Board exam 2025, set 430/4/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Basic 2025: question 23(a)

Set in the CBSE Class 10 board exam of 2025, paper 430/4/1, section B, question 23(a), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q23(a) · 2 marks · Very short answerProbability

A coin is dropped at random on the rectangular region shown in the figure. What is the probability that it will land inside the circle with radius 0.7 m?

Figure in the paper: A rectangle of length 3 m (top) and width 2 m (right side), with a circle drawn inside it. See it in the official paper.

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

The coin can land anywhere in the rectangle. Compare the favourable area with the total area.

Hint 2

Find the area of the circle with m and the area of the 3 m × 2 m rectangle, then divide.

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. Area of circle m²

    ½ mark

  2. Area of rectangle m²

    ½ mark

  3. P(coin lands inside the circle)

    1 mark

Answer:

Where the marks are

  • Area of circle m² (½ mark)
  • Area of rectangle m² (½ mark)
  • Probability (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.