Question 1200981
.
<pre>

(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) = {{{(3/6)*(3/6)}}} + {{{(3/6)*(3/6)}}} = {{{(1/2)*(1/2)}}} + {{{(1/2)*(1/2)}}} = {{{1/4}}} + {{{1/4}}} = {{{2/4}}} = {{{1/2}}}.    <U>ANSWER</U>
</pre>

Solved in full.