Terrence writes down one of the numbers from 0-20, inclusive, on one index card each until he has written each number

[BTGmoderatorDC]

Terrence writes down one of the numbers from 0-20, inclusive, on one index card each until he has written each number exactly once and then faces all the cards down. Next, he randomly chooses two cards without turning them over. What is the probability that a prime number will be written on each card and that the absolute difference between the two prime numbers will itself be a prime number?

(A) 1/35

(B) 4/95

(C) 4/105

(D) 8/95

(E) 8/105


OA C

Source: Magoosh