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?

Question

Write your answer as a fraction in simplest form.

Answer 1

Prob(photographer) = 12/22 = 6/11
prob(painter or sculptor) = prob(not a phot.) = 1 - 6/11 = 5/11

Or
prob(painter) = 3/22
prob(phot.) = 7/22
prop(painter or phot.) = 10/22 = 5/11