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

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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]

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