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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

Answer in Brief

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.

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