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)?

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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...

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) .

same colored dice would give 21 combinations, not 30

True, we shall count 1-2 and 2-1 as the same combination, not only 1-1 or 6-6, otherwise we still keep dice not identical. Thanks for the correction.

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