¶ 2019 AMC8 Problem 18
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 table below shows that of the sums will be even.
Therefore the probability that the sum will be even is .
The sum is even provided both dice are even or both dice are odd. Because there is a a probability of one die being even, there is a probability that both will be even. There is a probability that one will be odd and thus a probability that both will be odd. Thus the overall probability that the sum is even is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions