Question

b. calculate the probability of rolling a number that is not even.

Explanation:

Step1: Identify total outcomes

A standard die has 6 faces, so total possible outcomes: $n(\text{total}) = 6$

Step2: Identify favorable outcomes

Numbers not even on a die are 1, 3, 5. So favorable outcomes: $n(\text{favorable}) = 3$

Step3: Calculate probability

Probability is ratio of favorable to total outcomes.
$\text{Probability} = \frac{n(\text{favorable})}{n(\text{total})} = \frac{3}{6} = \frac{1}{2}$

Answer:

$\frac{1}{2}$