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Question

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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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 A is denoted byand is given by

(i) Let A be the event of liking mathematics.

The number of times A happens is 135.

Therefore, we have

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

The number of times B happens is 65.

Therefore, we have


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