2019 AMC 8 Problem 15
Attempt Problem 15 of the 2019 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2019 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
15.
On a beach people are wearing sunglasses and 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 If instead, someone wearing sunglasses is selected at random, what is the probability that this person is also wearing a cap?
Answer: B
Small hint:
Use the cap group to find the number wearing both
Big hint:
Then divide that same overlap by the number wearing sunglasses
Video solution:
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Written solution:
If the probability is that means of the people wearing caps are also wearing sunglasses.
This means that people are wearing both caps and sunglasses.
The probability of a person wearing sunglasses also wearing a cap is
Thus, the correct answer is B.
Problem 15 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
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