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Probability Question

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4 Answers

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
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) .  

Comments

this makes no sense because you can get a 4 from 1 and 3 or 2 and 2
Yes, Adaeze, because the question says you have two different colored dice, then for whatever you get on red, there are 6 other possibilities on green, for example, you roll a red 1, you can have a green 1, 2, 3, 4, 5, or 6.  If you roll a red 2, you have the same possibilities.  Since there are 6 possibilities for green (1-6) for each red (1-6), there are 6 x 6 total combinations, or 36.
You have 6 possibilities for each, since there are two dice, you end up with 62=36 possible combinations. Note that similarly colored dice will give you 15 less combinations (because dice would be indistinguishable)

Comments

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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