Question

What is the probability of rolling a fair die and getting an even number?

• A. $\frac{1}{6}$
• B. $\frac{1}{2}$
• C. $\frac{5}{6}$
• D. None of the above

Answer 1

The correct option is B $\frac{1}{2}$

$\underset{–}{\text{For rolling a fair die}}$,

Possible outcomes= $\{1,2,3,4,5,6\}$
$\therefore$ Total number of possible outcomes = 6

Even outcomes= $\{2,4,6\}$
$\therefore$ Number of even outcomes= 3

$\text{Probability of getting an even number}$
$=\frac{\text{Number of even outcomes}}{\text{Number of possible outcomes}}$
$=\frac{3}{6}=\frac{1}{2}$

Hence, (b.) is the correct option.