Question

there are slips of paper that are numbered from 1 to 15 in a hat. what is the theoretical probability that a slip of paper that is chosen will be an even number?
$\frac{1}{15}$
$\frac{7}{15}$
$\frac{1}{2}$
$\frac{8}{15}$

Explanation:

Step1: Determine total outcomes

Total slips: $15$ (numbers 1–15).

Step2: Find favorable outcomes (even numbers)

Even numbers from 1–15: 2, 4, 6, 8, 10, 12, 14. Count: $7$.

Step3: Calculate probability

Probability = $\frac{\text{Favorable}}{\text{Total}} = \frac{7}{15}$.

Answer:

$\frac{7}{15}$