Probability Question

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)? 

Answer 1

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.

Answer 2

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) .  

Answer 3

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)

Answer 4

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