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}, then what is the probability that xy will be even? Choose the correct answer
A) 5/6	B) 2/6	C) 2by3	D) 1/2	E) 1/4
S = {(1,5), (1,6), (1,7), (2,5), (2,6), (2,7), (3,5), (3,6), (3,7), (4,5), (4,6), (4,7)}   Total element n(S) = 12   xy will be even when even x or y or both will be even.   Events of xy being even is E.   E = {(1,6), (2,5), (2,6), (2,7), (3,6), (4,5), (4,6), (4,7)}   n(E) = 8   P(E) = n(E)/n(S)   = 8/12   = 2/3   ANSWER:2by3
<result>C</result>
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}, then what is the probability that xy will be even?