Determine the number of outcomes as requested.
-Two 6-sided dice are thrown. Determine the number of ways that a score which is a multiple of 3 can be obtained.
A)11
B)2
C)6
D)12

Question

Quizplus · Accepted Answer

There are 36 possible outcomes when two 6-sided dice are thrown. A score is a multiple of 3 if the sum of the numbers on the dice is divisible by 3. The possible sums that are multiples of 3 are 3, 6, 9, and 12. By counting the combinations for each sum: 3 (1,2; 2,1), 6 (1,5; 2,4; 3,3; 4,2; 5,1), 9 (3,6; 4,5; 5,4; 6,3), and 12 (6,6), there are 12 ways in total.

Determine the Number of Outcomes as Requested