Problem:
Tamika selects two different numbers at random from the set and adds them. Carlos takes two different numbers at random from the set and multiplies them. What is the probability that Tamika's result is greater than Carlos' result?
Answer Choices:
A.
B.
C.
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E.
Solution:
Tamika can get the numbers , or . Carlos can get , or . The possible ways to pair these are: , , , , , , , , . Four of these nine pairs show Tamika with a higher result, so the probability is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions