an organization will give a prize to a local artist. the artist will be randomly chosen from among 3…

an organization will give a prize to a local artist. the artist will be randomly chosen from among 3 painters, 7 sculptors, and 12 photographers. what is the probability that the artist chosen will be a painter or a sculptor? 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 3 painters, 7 sculptors, and 12 photographers. what is the probability that the artist chosen will be a painter or a sculptor? write your answer as a fraction in simplest form.

Answer

Explanation:

Step1: Calculate total number of artists

$3 + 7+12=22$

Step2: Calculate number of painters or sculptors

$3 + 7 = 10$

Step3: Calculate the probability

The probability $P=\frac{10}{22}=\frac{5}{11}$

Answer:

$\frac{5}{11}$