2008 AMC 8 Problem 19
Attempt Problem 19 of the 2008 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2008 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
19.
Eight points are spaced at intervals of one unit around a square, as shown. Two of the points are chosen at random. What is the probability that the points are one unit apart?
Answer: B
Small hint:
Count the total number of unordered pairs of points.
Big hint:
There are exactly adjacent unit segments around the square.
Solution:
Each dot has dots that are one unit away from it.
Therefore, regardless of the choice of the first dot, of the other dots would be within one unit, so the probability is
Thus, the answer is B .
Problem 19 in other years
- 1985 AMC 8
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- 1987 AMC 8
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