Answer: No, A and B are not independent events.
Step-by-step explanation:
Since we have given that
Number of outcomes that a die comes up with = 6
A be the event that the red die comes up even.
A={2,4,6}
B be the event that the sum on the two dice is 8.
B={(2,4),(4,2),(5,3),(3,5),(44)}
P(A) = 
P(B) = 
P(A∩B) = 
But,
P(A).P(B) ≠ P(A∩B)

Hence, A and B are dependent events.