Answer
a. The sample space is $[(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5)(,2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)]$
b. X is assigns the greater number between the two.
c.
Outcome , X :
$(1,2)$ , 2
$(1,3)$ , 3
$(1,4)$ , 4
$(1,5)$ , 5
$...$
$(5,6)$ , 6
Work Step by Step
a. The sample space is $[(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5)(,2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)]$
b. X is assigns the greater number between the two.
c.
Outcome , X :
$(1,2)$ , 2
$(1,3)$ , 3
$(1,4)$ , 4
$(1,5)$ , 5
$...$
$(5,6)$ , 6
