At Sally's Hair Salon there are three hair stylists. 28% of the hair cuts are done by Chris, 30% are done by Karine, and 42% are
done by Amy. Chris finds that when he does hair cuts, 4% of the customers are not satisfied. Karine finds that when she does hair cuts, 5% of the customers are not satisfied. Amy finds that when she does hair cuts, 5% of the customers are not satisfied. Suppose that a customer leaving the salon is selected at random. If the customer is not satisfied, what is the probability that their hair was done by Amy?
The total probability of customer not leaving satisfied is given by the sum of the product of the probability of each stylist doing a hair cut by the probability of the customer not being satisfied with the cut:
The probability of Amy doing a hair cut given that the customer was not satisfied is:
