Опрос от журнала "8 часов": "Чем Вы питаетесь на работе?"

What's The Difference?
Question
Set S is the set of all prime integers between 0 and 20. If three numbers are
chosen randomly from set S and each number can be chosen only once, what is the
positive difference between the probability that the product of these three
numbers is a number less than 31 and the probability that the sum of these
three numbers is odd?
(A) 1/336
(B) 1/2
(C) 17/28
(D) 3/4
(E) 301/336