Question

you roll a 6 - sided die. what is p(even)? simplify your answer and write it as a fraction or whole number.

Explanation:

Step1: Determine total outcomes

The die has 6 sides, so total outcomes $n = 6$.

Step2: Determine favorable outcomes

Even numbers on a 6 - sided die are 2, 4, 6. So favorable outcomes $m=3$.

Step3: Calculate probability

The probability formula is $P(A)=\frac{m}{n}$. Substituting values, we get $P(\text{even})=\frac{3}{6}$.

Step4: Simplify the fraction

$\frac{3}{6}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$