Question

an organization will give a prize to a local artist. the artist will be randomly chosen from among 10 painters, 3 sculptors, and 5 photographers. what is the probability that the artist chosen will be a sculptor or a photographer? write your answer as a fraction in simplest form.

Explanation:

Step1: Calculate total number of artists

The total number of artists is the sum of painters, sculptors and photographers. So, $10 + 3+5=18$.

Step2: Calculate number of favorable outcomes

The number of sculptors or photographers is $3 + 5=8$.

Step3: Calculate probability

The probability $P$ of an event is the number of favorable outcomes divided by the total number of outcomes. So, $P=\frac{8}{18}=\frac{4}{9}$.

Answer:

$\frac{4}{9}$