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

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

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