If x is chosen at random from the set {1, 2, 3, 4} and y is to be chosen at rand

Question

If x is 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?

Options:

A . $$\frac{{5}}{{6}}$$

B . $$\frac{{1}}{{6}}$$

C . $$\frac{{1}}{{2}}$$

D . $$\frac{{2}}{{3}}$$

Answer: Option D

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