Hi,
Giving the Sample space as follows:
BLUE |_1__2__3__4__5__6
GREEN |_1__2__3__4__5__6
PURPLE |_1__2__3__4__5__6
Sample Space with 18 Possible Outcomes:
P(a purple and a 3) = 1/18
P( a blue and an even number) = 3/18
P( a green or a 5) = 6/18 + 3/18 - 1/18 = 8/18