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.
Solution:
The probability of a certain event is given by the ratio of occurrence of a particular event by the total number of events.
Probability of students who like/dislike statistics = (Number of students who like/dislike statistics) / Total number of students
Total number of students = 200
Number of students who like statistics = 135
Number of students who dislike statistics = 65
(i) Probability of students who like statistics = 135/200 = 27/40
(ii) Probability of students who dislike statistics = 65/200 = 13/40
☛ Check: NCERT Solutions for Class 9 Maths Chapter 15
Video Solution:
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.
NCERT Solutions for Class 9 Maths Chapter 15 Exercise 15.1 Question 7
Summary:
To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. We have found that the probability of students who like statistics = 27/40 and the Probability of students who dislike statistics = 13/40.
☛ Related Questions:
- Refer to Q.8, 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.The distance (in km) of 40 engineers from their residences are given in the table
- 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 5.00Find the probability that any of these bags chosen at random contains more than 5 kg of flour.
- 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 the table, find the probability of the concentration of sulphur dioxide in the interval 0.12 – 0.16 on any of these days.
- 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.