Question

To know the opinion of the student about the subject statistic, a survey of $200$ students was conducted.

The data is recorded in the following table

Opinion	Like	Dislike
No. of Students	$135$	$65$

Find the probability that a student chosen at random

$\left(i\right)$ likes statistics, $\left(ii\right)$ does not like it.

• A. $\left(i\right)\frac{13}{40}$
  $\left(ii\right)\frac{19}{40}$
• B. $\left(i\right)\frac{27}{40}$
  $\left(ii\right)\frac{13}{40}$
• C. $\left(i\right)\frac{17}{40}$
  $\left(ii\right)\frac{29}{40}$
• D. None of these
  

Answer 1

Answer: (B)

$\left(i\right)\frac{27}{40}$

$\left(ii\right)\frac{13}{40}$
Total number of students $=200$
(i) Number of students who like the subject of statistics $=135$
The probability that a student likes that subject $=$ $\frac{135}{200}$$=$ $\frac{27}{40}$
(ii) Number of students who dislike the subject of statics $=$ 65
The probability that a student dislikes the subject $=$ $\frac{65}{200}$ = $\frac{13}{40}$