Answer
a. $[(1,1),(1,2),(1,3),(1,4),... ,(6,5),(6,6)]$
b.assigns to every outcome the sum of the two numbers.
c.
Outcome , X :
$(1,1)$ , 2
$...$
$(6,6)$ , 12
Work Step by Step
a. The sample space is $[(1,1),(1,2),(1,3),(1,4),... ,(6,5),(6,6)]$
b. X is assigns to every outcome the sum of the two numbers.
c.
Outcome , X :
$(1,1)$ , 2
$(1,2)$ , 3
$(1,3)$ , 4
$(1,4)$ , 5
$...$
$(6,5)$ , 11
$(6,6)$ , 12