SOLUTION: two 6- sided dice are thrown. determine the numbers of a way that a score which is a multiple of 3 can be obtained

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
:

RELATED QUESTIONS
two dice are thrown. determine the number of ways the indicated score can be obtained... (answered by Boreal)

two dice are thrown. determine the number of ways the indicated score can be obtained At... (answered by ewatrrr)

Three six sided dice are thrown and produce a random set of numbers eg 1 4 6 = 11.... (answered by Edwin McCravy)

Two tetrahedral dice, with faces labelled 1, 2, 3, 4 are thrown and the number on which... (answered by edjones)

A dice is a form of a tetrahedron and each spaces are marked 1,2,3,4. The score is the... (answered by ikleyn)

A die has faces that are numbered: 1, 1, 2, 2, 3, 6 (i) A game consists of throwing the... (answered by ewatrrr)

Two 6-sided dice are rolled. What is the probability that the two numbers obtained differ (answered by jai_kos)

Two six-sided dice are rolled. What is the probability that one of the dice shows a 5 or... (answered by greenestamps)

2 six-sided dice, one green and one red, are released. Find the probability that :... (answered by solver91311)