Question

A dice is rolled once. Find the probability of getting a prime factor of $6$

Answer 1

In rolling a dice, the sample space $S=\{1,2,3,4,5,6\}\therefore n\left(S\right)=6$
Let $D$ be the event of getting a prime factor of $6$.
$D=\{2,3\}\therefore n\left(D\right)=2$
$\therefore P\left(D\right)=\frac{n\left(D\right)}{n\left(S\right)}=\frac{2}{6}$