1994 AMC 8 Problem 22
Attempt Problem 22 of the 1994 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 1994 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
22.
The two wheels shown at the right are spun and the two resulting numbers are added. The probability that the sum of the two numbers is even is
Answer: D
Small hint:
On the first wheel covers half and and each cover a quarter; the second wheel is divided into equal thirds
Big hint:
The sum is even when both numbers are even or both are odd
Solution:
On the first wheel, and On the second wheel, each of has probability
The sum is even when both numbers are odd or both are even. Both odd: the first is or and the second is giving Both even: the first is and the second is or giving
The total probability is
Thus, the correct answer is D .
Problem 22 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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