Question

Oliver rolls a $6$-sided die once. What will be the probability that he will get an even number?

• A. $\frac{1}{6}$
• B. $\frac{1}{3}$
• C. $\frac{1}{2}$
• D. $\frac{2}{3}$

Answer 1

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

$\underset{–}{\text{Given}:}$
Oliver rolls a $6$-sided die

$\underset{–}{\text{Need to Find}:}$
Probability of getting an even number

Since, Oliver rolls a die once,
Sample space $=\{1,2,3,4,5,6\}$

$\therefore$ Total number of possible outcomes $=6$

Favorable outcomes $=\{2,4,6\}$

$\therefore$ Number of favorable outcomes $=3$

Hence, the probability of getting an even number when Oliver rolls a die once is

$\text{P(Even)}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

$\Rightarrow \text{P(Even)}=\frac{3}{6}$

$\Rightarrow \text{P(Even)}=\frac{3}{3\times 2}$

$\Rightarrow \text{P(Even)}=\frac{1}{2}$

Therefore, option (c.) is the correct choice.