A car wash has three different types of washes: basic, classic, and ultimate. Based on records, 45% of customers get the basic wash, 35% get the classic wash, and 20% get the ultimate wash. Some customers also vacuum out their cars after the wash. The car wash records show that 10% of customers who get the basic wash, 25% of customers who get the classic wash, and 60% 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?
To get the probability that a customer gets the classic wash and vacuums, multiply the probability of getting the classic wash by the probability of vacuuming among classic-wash customers: 0.35 × 0.25 = 0.0875. Rounded to the nearest hundredth, this is 0.09, so the correct choice is 0.09.
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