During a department store sale 30 shoppers bought only clothing. 5 shoppers bought only towels, and 15 shoppers thought both clothing and towels. If 100 people shopped that day and a shopper is chosen at random, what is the probability that the shopper has bought towels?
To calculate the probability that a randomly chosen shopper has bought towels, we need to know the total number of shoppers who bought towels and the total number of shoppers.
Given that 30 shoppers bought only clothing, 5 shoppers bought only towels, and 15 shoppers bought both clothing and towels, we can find the total number of shoppers who bought towels by adding the number of shoppers who bought only towels and the number of shoppers who bought both clothing and towels: 5 + 15 = 20.
Now, to find the probability, divide the number of shoppers who bought towels by the total number of shoppers: 20 / 100 = 0.2 or 20%.
So, the probability that a randomly chosen shopper has bought towels is 0.2 or 20%.