Set A contains three 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) 7/10 C) 13/15 D) 23/30 E) 37/45
There can be an odd product only if both integers are odd.   P(odd product) = 3/9*2/5 = 2/15   P(even product) = 1 - 2/15 = 13/15   The answer is 13/15.
<result>C</result>
Set A contains three 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?