A die is dropped at random on the rectangular region of sides 3m×2m. What is the probability that it will land inside a circle(lying inside the rectangle) with diameter 1 m?
Area of rectangular region =3 m×2 m=6 m2
As, diameter = 1 m, radius will be 12 m.
Area of circle =πr2=π4
Probability die will land inside the circle = Area of circleArea of rectangular region
Probability that die will land inside the circle =π4÷6=π24