Set A contains three different positive odd integers and four 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) 7/15
C) 11/15
D) 23/35
E) 29/35
There can be an odd product only if both integers are odd.   P(odd product) = 3/7*2/5 = 6/35   P(even product) = 1 - 6/35 = 29/35   The answer is 29/35.
<result>E</result>
Set A contains three different positive odd integers and four 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?