an organization will give a prize to a local artist. the artist will be randomly chosen from among 10…

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.

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.

Answer

Explanation:

Step1: Calculate total number of artists

$10 + 3+5=18$

Step2: Calculate number of sculptors or photographers

$3 + 5 = 8$

Step3: Calculate probability

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

Answer:

$\frac{4}{9}$