devarshi-dt-logo

Question:

Suppose you drop a die at random on the rectangular region shown in fig. What is the probability that it will land inside the circle with diameter 1 m?

Solution:

Area of the circle = πr² = π(1)²/4 = π/4 sq m. Area of the rectangle = 3 × 2 = 6 sq m. P(Die will land in the circle) = Area of circle / Area of rectangle = π/4 / 6 = π/24