2019 AMC 8 Problem 18
Attempt Problem 18 of the 2019 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 2019 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
18.
The faces of each of two fair dice are numbered and When the two dice are tossed, what is the probability that their sum will be an even number?
Answer: C
Small hint:
An even sum means both dice have the same parity
Big hint:
Each die has even faces and odd faces
Video solution:
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Written solution:
The only two ways that the sum can be even is if both rolls are even or both are odd.
The probability that a roll is even is and the probability that it is odd is
Therefore, the desired probability is
Thus, the correct answer is C.
Problem 18 in other years
- 1985 AMC 8
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- 1989 AMC 8
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