RD Sharma Solutions for Class 10 Chapter 13 Probability Exercise 13.2

Chapter 13 Probability RD Sharma Solutions Exercise 13.2 Class 10 Maths

Chapter Name	RD Sharma Chapter 13 Probability
Book Name	RD Sharma Mathematics for Class 10
Other Exercises	Exercise 13.1
Related Study	NCERT Solutions for Class 10 Maths

Exercise 13.2 Solutions

1. In the accompanying diagram a fair spinner is placed at the center O of the circle. Diameter AOB and radius OC divide the circle into three regions labelled X, Y and Z. If ∠BOC = 45°. What is the probability that the spinner will land in the region X? (See fig)

Solution

2. A target shown in Fig. below consists of three concentric circles of radii, 3, 7 and 9 cm respectively. A dart is thrown and lands on the target. What is the probability that the dart will land on the shaded region?

Solution 

3. In below Fig., points A, B, C and D are the centers of four circles that each have a radius of length one unit. If a point is selected at random from the interior of square ABCD. What is the probability that the point will be chosen from the shaded region?

Solution

4. In the Fig. below, JKLM is a square with sides of length 6 units. Points A and B are the mid- points of sides KL and LM respectively. If a point is selected at random from the interior of the square. What is the probability that the point will be chosen from the interior of ∆JAB?

Solution

Length of side of square JKLM = 6 cm

Area of square JKLM = 62 = 36 cm2

Since A & B are the mid points of KL & LM

KA = AL = LB = LM = 3 cm

Area of ∆ AJB = area of square – area of ∆ AKJ – area of ∆ ALB – area of ∆ BMJ

= 36 − 1/2 ×6 ×3 - 1/2 ×6 ×3

= 36 − 9 − 4.5 − 9

= 13.5 sq. units

Probability that the point will be chosen from the interior of ∆AJB = Area of ∆AJB/Area of square 

5. In the Fig. below, 13, a square dart board is shown. The length of a side of the larger square

is 1.5 times the length of a side of the smaller square. If a dart is thrown and lands on the

larger square. What is the probability that it will land in the interior of the smaller square?

Solution

6. Suppose you drop a tie at random on the rectangular region shown in Fig. below. What is

the probability that it will land inside the circle with diameter 1 m?

Solution