Set A contains four different positive odd integers and six 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? Choose the most appropriate option: A) 3/5 B) 4/5 C) 17/25 D) 21/25 E) 43/50
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 21/25.
<result>D</result>
Set A contains four different positive odd integers and six 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?