SOLUTION: A fair 6-sided die is tossed twice. Part A. What is the sample space? Part B. Find the probability that the sum of the two results is even.

(a)  The sample space is the 6x6-matrix of pairs (i,j),  where 1 <= i, j <= 6

     are the possible outputs of the first toss (i) and the second toss (j).



(b)  The sum is even if and only if both outputs i and j are even
     or both outputs i and j are odd.


       P(the sum is even) =  +  =  +  =  +  =  = .    ANSWER