Question

A fair die is rolled. Find the probability of getting an odd number.

• A. $\frac{1}{6}$
• B. $\frac{5}{6}$
• C. $\frac{2}{6}$
• D. $\frac{1}{2}$

Answer 1

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

In rolling a die, the sample space, $S=\{1,2,3,4,5,6\}$
Therefore, $n\left(S\right)=6$
Let $B$ be the event of getting an odd number.
$B=\{1,3,5\}$
$n\left(B\right)=3$
$P\left(B\right)=$ $\frac{n\left(B\right)}{n\left(S\right)}=\frac{3}{6}=\frac{1}{2}$