there are slips of paper that are numbered from 1 to 15 in a hat. what is the theoretical probability that a…

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

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

Answer

Explanation:

Step1: Count total outcomes

The slips are numbered from 1 to 15, so the total number of possible outcomes is $n = 15$.

Step2: Count favorable outcomes

The even - numbered slips from 1 to 15 are 2, 4, 6, 8, 10, 12, 14. So the number of favorable outcomes is $m=7$.

Step3: Calculate probability

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

Answer:

$\frac{7}{15}$