set a contains 4 different positive odd integers and 6 different positive even integers . set b contains two different positive odd integers and 3 different positive even integers . if one integer from set a and one integer from set b are chosen at random , what is the probability that the product of the chosen integers is even ? Choose the correct choice from the following options.
A) 3 / 5  B) 4 / 5  C) 17 / 25  D) 21 / 25  E) 43 / 50

Rationale: there can be an odd product only if both integers are odd . p ( odd product ) = 4 / 10 * 2 / 5 = 4 / 25 p ( even product ) = 1 - 4 / 25 = 21 / 25 the answer is d .
Answer: D