Set A contains three different positive odd integers and three different positive even integers. Set B contains two different positive odd integers and three 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?
Options: A) 3/5 B) 2/5 C) 1/2 D) 4/5 E) 19/25
There can be an odd product only if both integers are odd.   P(odd product) = 1/2*2/5 = 1/5   P(even product) = 1 - 1/5 = 4/5   The answer is 4/5.
<result>D</result>
Set A contains three different positive odd integers and three different positive even integers. Set B contains two different positive odd integers and three 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?