Set A contains three different positive odd integers and five 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?  Pick one: A) 3/5 B) 7/10 C) 11/20 D) 17/20 E) 33/40
There can be an odd product only if both integers are odd.   P(odd product) = 3/8*2/5 = 3/20   P(even product) = 1 - 3/20 = 17/20   The answer is 17/20.
<result>D</result>
Set A contains three different positive odd integers and five 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?