Question

The table given below shows the months of birth of 36 students of a class:

$\begin{array}{ccccccccccccc}\text{Month of birth}& \text{Jan.}& \text{Feb.}& \text{March}& \text{April}& \text{May}& \text{June}& \text{July}& \text{Aug.}& \text{Sept.}& \text{Oct.}& \text{Nov.}& \text{Dec.}\\ \text{No. of students}& 4& 3& 5& 0& 1& 6& 1& 3& 4& 3& 4& 2\end{array}$

A student is chosen at random from the class. What is the probability that the chosen student was born in October?

(a) $\frac{1}{3}$

(b) $\frac{2}{3}$

(c) $\frac{1}{4}$

(d) $\frac{1}{12}$

Answer 1

ANSWER:
(d) $\frac{1}{12}$
Explanation:
Total number of students = 36
Number of students born in October = 3
Let
P ( E )
be the event that the chosen student was born in October. Then,
= Number of students born in October/Total number of students = $\frac{3}{36}$ = $\frac{1}{12}$