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# Probability Question

If you roll two dice (a green one and a red one), how many different outcomes are there for that roll? (in other words, how many different combinations could you get on the two dice)?

### 4 Answers by Expert Tutors

Phillip R. | Top Notch Math and Science Tutoring from Brown Univ GradTop Notch Math and Science Tutoring from...
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for each number on the green die you can pair it up with 6 different possible numbers on the red die.

So total combinations is 6 x 6 = 36

As I indicated in my comments, there are not 11 nor 30 but 21 combinations if the die are identical
Richard P. | Fairfax County Tutor for HS Math and ScienceFairfax County Tutor for HS Math and Sci...
4.9 4.9 (639 lesson ratings) (639)
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There are two possible answers to this question.

If the dice are considered distinguishable (that is a 2 on the red die and a 5 on the green die is considered a different outcome than a 5 on the red die and a 2 on the green one) then there are 36 (= 6 x 6) possible outcomes.

However, if the dice are not considered distinguishable ( that is 2 + 5 = 5 +2 =7, regardless of red and green ) then there are just 11 possible outcomes (2,3,4,5,6,7,8,9,10,11,12) .

this makes no sense because you can get a 4 from 1 and 3 or 2 and 2