If a number N is chosen at random from the set of two-digit integers whose digits are both prime numbers, what is the probability Q that N is divisible by 3? Choose the correct answer:  A) 1 / 3  B) ¼  C) 9 / 25  D) 5 / 16  E) 0

Rationale: "prime digits are : 2 , 3 , 5 , 7 total number of 2 digit # s with both digits prime are : 4 * 4 = 16 out of these numbers divisible by 3 = 33 , 27 , 57 , 72 and 75 . i had to find the numbers manually using the 4 numbers above . = > prob = 5 / 16 . ans d . took me 3 : 20 mins ."
Answer: D