If \(x\) is to be chosen at random from the set \(\{1, 2, 3, 4\}\) and \(y\) is to be chosen at random from the set \(\{5, 6, 7\},\) what is the probability that \(xy\) will be even?
(A) \(\dfrac16\)
(B) \(\dfrac13\)
(C) \(\dfrac12\)
(D) \(\dfrac23\)
(E) \(\dfrac56\)
Answer: D
Source: Official Guide