Question

A twelve-sided die has the numbers one through twelve on the faces of the die. When the die is rolled, find the probability of occurrence of an odd number.

• A. $\frac{1}{6}$
• B. $\frac{1}{5}$
• C. $\frac{1}{4}$
• D. $\frac{1}{3}$
• E. $\frac{1}{2}$

Answer 1

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

We know formula for probability is $=$ $\frac{nooffavorableoutcomes}{totalpossibleoutcomes}$
Here, we know a twelve sided die has twelve numbers. So total possible outcome will be $12$.
When die is rolled, occurrence of an odd number can be $1,3,5,7,9,11$, so no of favorable outcome can be $6$
Hence probability would be $=$ $\frac{6}{12}=\frac{1}{2}$