Problem:
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 Choices:
A.
B.
C.
D.
E.
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 .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions