Find the probability that student chosen at random: (i) Likes Mathematics (ii) Does not like it.

Question

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

Opinion	Like	Dislike
Number of students	135	65

Find the probability that student chosen at random: 

(i) Likes Mathematics 

(ii) Does not like it.

Answer 1

Total number of students = 200 

Students like mathematics = 135 

Students dislike Mathematics = 65 

We know, Probability of an event = (Number of Favorable outcomes) / (Total Numbers of outcomes) 

(i) Probability (Student likes mathematics) 

= \(\frac{135}{200}\)

= 0.675 

(ii) Probability (Student does not like mathematics) 

= \(\frac{65}{200}\)

= 0.325