# To Know the Opinion of the Students About Mathematics, a Survey of 200 Students Was Conducted. the Data is Recorded in the Following Table: - Mathematics

To know the opinion of the students about Mathematics, a survey of 200 students was conducted. The data is recorded in the following table:

 Opinion: Like Dislike Number of students: 135 65

Find the probability that a student chosen at random (i) likes Mathematics (ii) does not like it.

#### Solution

The total number of trials is 200.

Remember the empirical or experimental or observed frequency approach to probability.

If n be the total number of trials of an experiment and A is an event associated to it such that A happens in m-trials. Then the empirical probability of happening of event is denoted by P (A)  and is given by

P (A) =m/n

(i) Let be the event of liking mathematics.

The number of times A happens is 135.

Therefore, we have

P (A) =135/200

= 0.675

(ii) Let B be the event of disliking mathematics.

The number of times B happens is 65.

Therefore, we have

P (B) =65/200

= 0.325

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 25 Probability
Exercise 25.1 | Q 7 | Page 14