# What is the probability of rolling a prime number on a 12 sided dice numbered 1 to 12?

Jul 4, 2017

$\frac{5}{12}$ or $.41 \overline{6}$

#### Explanation:

A prime number is a number (greater than 1) that has no divisors besides 1 and itself.

When rolling this dice, you could get

$1 , \textcolor{red}{2} , \textcolor{red}{3} , 4 , \textcolor{red}{5} , 6 , \textcolor{red}{7} , 8 , 9 , 10 , \textcolor{red}{11} , 12$

The prime numbers are in red. (Remember, 1 is not considered a prime number.)

5 out of 12 of these numbers are prime. Therefore, the probability of rolling a prime number on this dice is

$\frac{5}{12}$ or $.41 \overline{6}$