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प्रश्न
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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उत्तर
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 P (A) and is given by
P (A) =`m/n`
(i) Let A 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
