Answer
$S=${(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,2),(2,3),(2,4),(2,5),(2,6),(3,3),(3,4),(3,5),(3,6),(4,4),(4,5),(4,6),(5,5),(5,6),(6,6)}
$E=${(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(5,6)}
Work Step by Step
Two indistinguishable dice are rolled.
The sample space is $S=${(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,2),(2,3),(2,4),(2,5),(2,6),(3,3),(3,4),(3,5),(3,6),(4,4),(4,5),(4,6),(5,5),(5,6),(6,6)}
One of the numbers is even and the other is odd
$E=${(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(5,6)}