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

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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

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