Question

To know the opinion of the students about Mathematics, a survey of 200 students was conducted. The data is recorded in the following tables:
Find the probability that a student chosen at random
(i) likes Mathematics
(ii) does not like it.

Answer 1

Answer:

1/2 is the probability for both

Step-by-step explanation:

SS:- {like Maths, does not like Maths}

No. of possible outcomes = 2

No. of desirable outcomes = 1

Hence, P(getting both)= 1/2

Answer 2

Given : 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   135

dislike  65

Concept: Probability is the study of the chances of events happening.

Required probability = Number of trials in which the event happens/Total number of trials  

Total number of students = 135 + 65 = 200

(i) Numbers of students who like statistics = 135

Required probability,P(statistics) = 135/200 = 27/40

 

(ii)  Numbers of students who does not like statistics = 65

Required probability,P(not like statistics) = 65/200 = 13/40

 

Hence, the probability that a student chosen at random (i) likes statistics are 27/40  (ii) does not like it 13/40.

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