A car wash has three different types of washes: basic, classic, and ultimate. Based on records, 45 percent of customers get the basic wash, 35 percent get the classic wash, and 20 percent get the ultimate wash. Some customers also vacuum out their cars after the wash. The car wash records show that 10 percent of customers who get the basic wash, 25 percent of customers who get the classic wash, and 60 percent of customers who get the ultimate wash also vacuum their cars. What is the probability that a randomly selected customer will get the classic wash and vacuum their car?