Question

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

$\begin{array}{ccc}\text{Opinion}& \text{Like}& \text{Dislike}\\ \text{Number of students}& 135& 65\end{array}$

Find the probability that a student is chosen at random

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

Answer 1

Total number of students $\left(n\right)=200$

$\begin{array}{ccc}\text{Opinion}& \text{Like}& \text{Dislike}\\ \text{Number of students}& 135& 65\end{array}$

(i) Number of students who like mathematics $\left(m\right)=135$

$P\left(A\right)=$ Probability that student like mathematics

$\therefore P\left(A\right)=\frac{m}{n}=\frac{135}{200}=0.675$

(ii) Number of students who dislike mathematics $\left(m^{\prime }\right)=65$

$P\left(B\right)=$ Probability that students dislike mathematics

$\therefore P\left(B\right)=\frac{m^{\prime }}{n}=\frac{65}{200}=0.325$