If A is to be chosen at random from the set {14, 7, 25, 6} and B is to be chosen at random from the set {2, 5, 8}, what is the probability that AB will be even?	Choose the correct choice from the following options:
A) 2/3
B) 8/3
C) 5/6
D) 1/3
E) 4/3
Method-1   A8/3 will be even when   1) A is even and 8/3 is odd, Probability of A even is (2/4) and Probability of 8/3 odd is (1/3), so Probability of Case(1) = (2/4)*(1/3) = (2/12)   2) A is Odd and 8/3 is Even, Probability of A Odd is (2/4) and Probability of 8/3 Even is (2/3), so Probability of Case(2) = (2/4)*(2/3) = (4/12)   3) A is even and 8/3 is Even, Probability of A even is (2/4) and Probability of 8/3 Even is (2/3), so Probability of Case(1) = (2/4)*(2/3) = (4/12)   Total Favorable Probability = (2/12)+(4/12)+(4/12) = (32/12) = 8/3   Answer: option 8/3
<result>B</result>
If A is to be chosen at random from the set {14, 7, 25, 6} and B is to be chosen at random from the set {2, 5, 8}, what is the probability that AB will be even?