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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)? 

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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 (587 lesson ratings) (587)
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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) .  

Comments

this makes no sense because you can get a 4 from 1 and 3 or 2 and 2
David W. | I'll help you understand math!I'll help you understand math!
4.9 4.9 (62 lesson ratings) (62)
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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.
Kirill Z. | Physics, math tutor with great knowledge and teaching skillsPhysics, math tutor with great knowledge...
4.9 4.9 (174 lesson ratings) (174)
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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.