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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.



Answer -

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 by and 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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