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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Similar questions

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

Opinion	Number of students
Like Dislike	135 65

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

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

Opinion

Number of students

dislike

135

Find the probability that a student chosen at random

(i) likes statistics, (ii) does not like it

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

$\begin{matrix} Opinion & Like & Dislike Number of students & 135 & 65 \end{matrix}$

Find the probability that a student is chosen at random

(i) likes Mathematics (ii) does not like it.

Opinion	No. of students
like	$135$
dislike	$65$

To know the opinion of the students about the subject statistics, a survey of

200

students was conducted. The data is recorded in the following table.

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

Question 7 (i)
To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table.
$\begin{matrix} Opinion & Number of students like & 135 dislike & 65 \end{matrix}$
Find the probability that a student chosen at random
(i) likes statistics

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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: 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.

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.