2016 AMC 8 Problem 13
Attempt Problem 13 of the 2016 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 2016 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
13.
Two different numbers are randomly selected from the set and multiplied together. What is the probability that the product is
Answer: D
Small hint:
A product is exactly when one of the selected numbers is .
Big hint:
Count selections containing out of all ways to choose two different numbers.
Video solution:
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Written solution:
There are ways to select two different numbers. A product is exactly when one selected number is , and there are choices for the other number. Thus the probability is
Thus, D is the correct answer.
Problem 13 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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- 1998 AMC 8
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