If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability T that this product will be a multiple of 45?	Choose the correct choice from the following answers:  A) 1/32  B) 1/28  C) 1/24  D) 1/16  E) 1/14
There are 3 single digit multiple of 3, that is, 3,6,9.   There are 8 prime nos less than 20 - 2,3,5,7,11,13,17,19   Total outcome - 8*3 = 24   Favourable outcome = 1 (9*5)   Hence required probability T= 1/24. Answer 1/24.
<result>C</result>
If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability T that this product will be a multiple of 45?