2007 AMC 8 Problem 21
Attempt Problem 21 of the 2007 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 2007 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
21.
Two cards are dealt from a deck of four red cards labeled and four green cards labeled A winning pair is two of the same color or two of the same letter. What is the probability of drawing a winning pair?
Answer: D
Small hint:
After the first card is drawn, count favorable second cards.
Big hint:
The same-color cards and same-letter card do not overlap after the first card is removed.
Solution:
After drawing the first card, there are left. of them have the same color, and of them has the same letter. Therefore, there are out of possibilities that result in a winning pair.
The probability of drawing a pair is then
Thus, D is the correct answer.
Problem 21 in other years
- 1985 AMC 8
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- 1987 AMC 8
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