2014 AMC 8 Problem 12
Attempt Problem 12 of the 2014 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 2014 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
12.
A magazine printed photos of three celebrities along with three photos of the celebrities as babies. The baby pictures did not identify the celebrities. Readers were asked to match each celebrity with the correct baby picture. What is the probability that a reader guessing at random will match all three correctly?
Answer: B
Small hint:
There are ways to match the babies to celebrities.
Big hint:
Only one matching is completely correct.
Solution:
Notice that there are total ways that a reader could match the celebrities. However, only one of these is the correct matching. Therefore, the probability that the reader guesses it correctly is
Thus, B is the correct answer.
Problem 12 in other years
- 1985 AMC 8
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