GAUSS7 2013 Problem 19

A special six-sided die is rolled. The probability of rolling a number that is a multiple of three is \frac12. The probability of rolling an even number is \frac13. A possibility for the numbers on the die is

Answer Choices
A. 1,2,3,5,5,6
B. 1,2,3,3,5,6
C. 1,2,3,4,6,6
D. 1,2,3,3,4,6
E. 2,3,3,3,5,6