Question 1107960: two 6- sided dice are thrown. determine the numbers of a way that a score which is a multiple of 3 can be obtained
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! there are 36 possible outcomes when two dice are rolled, namely
:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
:
you did not say how the score is obtained from the dice after they are rolled
:
if we look at the sum of the two dice, then
:
(1,2), (1,5), (2,1), (2,4), (3,3), (3,6), (4,2), (4,5), (5,1), (5,4), (6,3), (6,6) have sums that are multiples of 3
:
there are a total of 12 ways to get a sum which is a multiple of 3
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