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?

~$1 \over 6$~

~$1 \over 3$~

~$1 \over 2$~

~$2 \over 3$~

~$5 \over 6$~