If we temporarily consider the dice to be distinct (say one is red and one is blue, or call one dice one and the other dice two) then there are 36 possible outcomes.  Since we are only interested in the sum of the pair, we can ignore the color and add (red die) + (blue die), giving 11 possible sums, each of which possibly occurring in a multiplicity of ways:



Sum     No. of ways     Probability

---     -----------     -----------

 2          1              1/36   \

 3          2              2/36    \

 4          3              3/36     \

 5          4              4/36      \

 6          5              5/36       \  probability

 7          6              6/36        > distribution

 8          5              5/36       /

 9          4              4/36      /

 10         3              3/36     /

 11         2              2/36    /

 12         1              1/36   /

          -----            ----

   total   36             36/36 = 1



 

RELATED QUESTIONS

Roll a pair of fair dice? Then, find the probability to get sum on the top surfaces is... (answered by math_helper,ikleyn)

when you roll a pair of dice what is the probability of a sum of... (answered by josmiceli,fishe20d)

find probability of the sum 8 appears in a single toss of a pair of fair dice.  (answered by ikleyn)

Find the probability, if we roll a pair of fair dice four times, that we get a sum of... (answered by ikleyn)

What is the probability of getting a "6" if I roll a fair six sided... (answered by deborabr)

suppose you roll two dice. Find the probability of rolling a sum of... (answered by Scriptor)

suppose you roll two dice find the probability of not rolling a sum of... (answered by ewatrrr)

suppose you roll two dice find the probability of not rolling a sum of... (answered by math-vortex)

Suppose you roll two dice. Find the probability of not rolling a sum of... (answered by solver91311)