Answer:
Probability to select a painting will be [tex]\frac{5}{13}[/tex]
Step-by-step 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 [tex]P(E)=\frac{n(E)}{n(S)}[/tex]
So total number of outcomes n(S) = 5 + 6 + 2
n(S) = 13
Favorable event n(E) = 5
[tex]P(E)=\frac{5}{13}[/tex]
Therefore, probability to select a painting will be [tex]\frac{5}{13}[/tex]