Question

An art collector wants to purchase a new piece of art. She is interested in 5 paintings, 6 vases, and 2 statues. If she chooses the piece at random, what is the probability that she selects a painting? give answer in fraction

Answer 1

Probability to select a painting will be
`(5)/(13)`

Explanation:

Art collector is interested in 5 paintings, 6 vases and 2 statues.

We have to find the probability that she selects a painting.

Probability
`P(E)=(n(E))/(n(S))`

So total number of outcomes n(S) = 5 + 6 + 2

n(S) = 13

Favorable event n(E) = 5

`P(E)=(5)/(13)`

Therefore, probability to select a painting will be
`(5)/(13)`