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National and Regional Contests
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MAA AMC
AMC 8
2019 AMC 8
15
15
Part of
2019 AMC 8
Problems
(1)
Sunglasses and Caps
Source: 2019 AMC 8 #15
11/19/2019
On a beach 50 people are wearing sunglasses and 35 people are wearing caps. Some people are wearing both sunglasses and caps. If one of the people wearing a cap is selected at random, the probability that this person is also wearing sunglasses is
2
5
\frac{2}{5}
5
2
. If instead, someone wearing sunglasses is selected at random, what is the probability that this person is also wearing a cap?
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7
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4
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<span class='latex-bold'>(A) </span>\frac{14}{85}\qquad<span class='latex-bold'>(B) </span>\frac{7}{25}\qquad<span class='latex-bold'>(C) </span>\frac{2}{5}\qquad<span class='latex-bold'>(D) </span>\frac{4}{7}\qquad<span class='latex-bold'>(E) </span>\frac{7}{10}
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85
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25
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10
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