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?
o $\frac{1}{15}$
o $\frac{7}{15}$
o $\frac{1}{2}$
o $\frac{8}{15}$

Explanation:

Step1: Count total outcomes

There are 15 slips of paper numbered from 1 - 15, so total outcomes $n = 15$.

Step2: Count favorable outcomes

Even - numbered slips from 1 to 15 are 2, 4, 6, 8, 10, 12, 14. So favorable outcomes $m=7$.

Step3: Calculate probability

The probability formula is $P=\frac{m}{n}$. Substituting $m = 7$ and $n = 15$, we get $P=\frac{7}{15}$.

Answer:

$\frac{7}{15}$