2017 AMC 8 Problem 10
Attempt Problem 10 of the 2017 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 2017 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
10.
A box contains five cards, numbered and Three cards are selected randomly without replacement from the box. What is the probability that is the largest value selected?
Answer: C
Small hint:
Count all ways to choose cards from the cards.
Big hint:
If is the largest selected card, the other two selected cards must come from and .
Video solution:
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Written solution:
The number of ways to choose cards from is If is the largest value selected, then the other two cards have to be chosen from There are ways to do this. The probability is then
Thus, C is the correct answer.
Problem 10 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
- 1994 AMC 8
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- 1998 AMC 8
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