John has on his shelf three books of poetry, five novels, and two reference works.

John has on his shelf three books of poetry, five novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?

Quiz

Answer/Solution

2/9

Steps/Work

When we are picking two books, one novel and one reference work, we could either pick a novel first and then a reference book or pick a reference book and then a novel. Therefore the answer is 5/10*2/9 + 2/10*5/9 = 2/9.
Answer: B.