Question

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?

Answer 1

Total outcomes = Area of rectangle

= l × b

= 3 m × 2 m

= 6 m²

Favourable outcomes = Area of circle

= πr²

= `22/7 xx (0.7)^2`

= `22/7 xx 0.7 xx 0.7`

= 1.54 m²

Probability of dropping the coin inside the circle = `"Favourable outcomes"/"Total outcomes"`

= `1.54/6`

= `77/300`