# Suppose you drop a die at random on the rectangular region shown in Fig. 15.6. What is the probability that it will land inside the circle with diameter 1m?

**Solution:**

We use the concepts of areas of circles and squares and also the basic concepts of probability.

Length of rectangular region = 3 m

Breadth of rectangular region = 2 m

Area of rectangular region = L × B

= 3 × 2

= 6 m²

Diameter of circular region = 1 m

Radius of circular region = 1/2 m

Area of circular region = πr²

= π × (1/2)²

= π/4

The probability that it will land inside the circle = Number of possible outcomes/No of favourable outcomes

= Area of circular region/Area of the rectangular region

= (π/4)/6

= π/24

The probability that it will land inside the circle is π/24.

Check out more in terms of probability

**Video Solution:**

## Suppose you drop a die at random on the rectangular region shown in Fig. 15.6. What is the probability that it will land inside the circle with diameter 1m?

### NCERT Solutions for Class 10 Maths Chapter 15 Exercise 15.1 Question 20 - Chapter 15 Exercise 15.1 Question 20:

Suppose you drop a die at random on the rectangular region shown in Fig. 15.6. What is the probability that it will land inside the circle with diameter 1 m?

If you drop a die at random on the rectangular region shown in figure, then the probability that it will land inside the circle with a diameter of 1 m is π/24