Suppose you drop a die at random on the rectangular region shown in Fig. 14.6. What is the probability that it will land inside the circle with diameter 1m?
Solution:
Find the area of the rectangle.
The area of the rectangle is simply:
Area of rectangle = Length × Width = 3 × 2 = 6 m2
Find the area of the circle.
The diameter of the circle is 1m, so its radius is:
Now, the area of the circle is:
Find the probability.
The probability that the die will land inside the circle is the ratio of the area of the circle to the area of the rectangle:
