This questions asks us for the chances of getting an even number when we select two numbers from Set A, with replacement. To get an even, we need either two even numbers or two odd numbers.
The only way to get two even numbers is to pick 2 twice. The odds of that occurrence is: 1/4 × 1/4 = 1/16
We can also get an even number by selecting two odds. Three out of the four numbers are odd, so the probability of this occurrence is: 3/4 × 3/4 = 9/16
Because these two options are mutually exclusive, we can add the two probabilities to determine the combined probability of one of the happening. 1/16 + 9/16 = 10/16 = 5/8
The correct answer is D.