Answer
$S=\{(1,1),(1,2),...,(1,6)$
$(2,1),(2,2),...,(2,6),$
$\vdots$
$(6,1),(6,2),...,(6,6)\}$
$E=\{(3,6),(4,5),(5,4),(6,3)\}$
Work Step by Step
Name the dice, one being the first die, the other being the 2nd.
The sample space S consits of ordered pairs (x,y),
where x is the number on the first die, y the number on the second die.
$S=\{(1,1),(1,2),...,(1,6)$
$(2,1),(2,2),...,(2,6),$
$\vdots$
$(6,1),(6,2),...,(6,6)\}$
The described event E, in which the numbers add to 9, is:
$E=\{(3,6),(4,5),(5,4),(6,3)\}$