Answer
$(E\cap F)'$={(1,1),(1,3),(1,5),(2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4),(4,6),(5,1),(5,3),(5,5),(6,2),(6,4),(6,6)}
Work Step by Step
$E\cap F$ is when one die shows an even number, and the other shows an odd.
$(E\cap F)'$ is when both die shows an odd number, or both die shows an even number.
$(E\cap F)'$={(1,1),(1,3),(1,5),(2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4),(4,6),(5,1),(5,3),(5,5),(6,2),(6,4),(6,6)}