NCERT Solutions Class 9 Mathematics Chapter 15 Probability Download In Pdf

Chapter 15 Probability Download in Pdf

EXERCISE 15.1

**Question 1.** In a cricket match, a batswoman hits a boundary 6 times out of 30 balls she plays. Find
the probability that she did not hit a boundary.

**Question 2**. 1500 families with 2 children were selected randomly, and the following data were
recorded:Compute the probability of a family, chosen at random, having

(i) 2 girls

(ii) 1 girl

(iii) No girl
Also check whether the sum of these probabilities is 1.

**Question 3.** Refer to Example 5, Section 14.4, Chapter 14. Find the probability that a student of the
class was born in August.

**Question 4.** Three coins are tossed simultaneously 200 times with the following frequencies of
different outcomes: If the three coins are simultaneously tossed again, compute the probability of 2 heads
coming up.

**Question 5.** An organisation selected 2400 families at random and surveyed them to determine a
relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below: Suppose a family is chosen. Find the probability that the family chosen is

(i) earning Rs 10000 – 13000 per month and owning exactly 2 vehicles.

(ii) earning Rs 16000 or more per month and owning exactly 1 vehicle.

(iii) earning less than Rs 7000 per month and does not own any vehicle.

(iv) earning Rs 13000 – 16000 per month and owning more than 2 vehicles.

(v) owning not more than 1 vehicle.

**Question 6.** Refer to Table 14.7, Chapter 14.

(i) Find the probability that a student obtained less than 20% in the mathematics
test.

(ii) Find the probability that a student obtained marks 60 or above.

**Question 7.** To know the opinion of the students about the subject statistics, a survey of 200
students was conducted. The data is recorded in the following table Find the probability that a student chosen at random
(i) likes statistics, (ii) does not like it.

**Question 8. **Refer to Q.2, Exercise 14.2. What is the empirical probability that an engineer lives:

(i) less than 7 km from her place of work?

(ii) more than or equal to 7 km from her place of work?

(iii) within
1
2
km from her place of work?

**Question 9.** Activity : Note the frequency of two-wheelers, three-wheelers and four-wheelers
going past during a time interval, in front of your school gate. Find the probability
that any one vehicle out of the total vehicles you have observed is a two-wheeler.

**Question 10.** Activity : Ask all the students in your class to write a 3-digit number. Choose any
student from the room at random. What is the probability that the number written by
her/him is divisible by 3? Remember that a number is divisible by 3, if the sum of its
digits is divisible by 3.

**Question 11.** Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights
of flour (in kg):

4.97 5.05 5.08 5.03 5.00 5.06 5.08 4.98 5.04 5.07 5.00

Find the probability that any of these bags chosen at random contains more than 5 kg
of flour.

**Question 12.** In Q.5, Exercise 14.2, you were asked to prepare a frequency distribution table, regarding
the concentration of sulphur dioxide in the air in parts per million of a certain city for
30 days. Using this table, find the probability of the concentration of sulphur dioxide
in the interval 0.12 - 0.16 on any of these days.

**
Question 13.** In Q.1, Exercise 14.2, you were asked to prepare a frequency distribution table regarding
the blood groups of 30 students of a class. Use this table to determine the probability
that a student of this class, selected at random, has blood group AB.

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- Chapter 3 Coordinate Geometry
- Chapter 4 Linear Equations In Two Variables
- Chapter 7 Triangles
- Chapter 8 Quadrilaterals
- Chapter 9 Areas of Parallelograms and Triangles
- Chapter 10 Circles
- Chapter 11 Constructions
- Chapter 12 Heron’s Formula
- Chapter 13 Surface Areas and Volumes
- Chapter 14 Statistics
- Chapter 15 Probability

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