you roll a 6-sided die.What is P(prime)?Simplify your answer and write it as a fraction or whole number.

To solve this problem, we will use the following formula:
[tex]P(event)=\frac{favorable\text{ outcomes}}{total\text{ outcomes}}.[/tex]Recall that in a 6-sided die, there are 3 sides that have a prime number:
[tex]2,3,\text{ and}5.[/tex]Therefore, there are 3 favorable outcomes, and there are 6 outcomes in total.
Substituting the above values in the formula, we get:
[tex]P(prime)=\frac{3}{6}=\frac{1}{2}.[/tex]