Rectangle area is 3 x 2 = 6 m². With diameter 1 m, circle radius is 0.5 m, so circle area is π x (0.5)² = π / 4 m². The landing probability is (π / 4) / 6 = π / 24.
Suppose you drop a dye at random on the rectangular region shown in Fig. 7.8. What is the probability that it will land inside the circle with a diameter of 1 m?
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Area of the rectangular region = length x breadth = 3 m x 2 m = 6 m².
For the circular region, diameter = 1 m, so radius r = 1/2 m = 0.5 m.
Area of the circle = π x r² = π x (1/2)² = π / 4 m² (or approximately 3.1416 / 4 = 0.7854 m²).
Probability of landing inside the circle:
P = Area of circle / Total area of rectangle
P = (π / 4) / 6 = π / 24 (approximately 0.131 or 13.1%).
For more NCERT Solutions of Class 9 Ganita Manjari Chapter 7 The Mathematics of Maybe: Introduction to Probability Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-7/