Question

At Dorcas's Hair Salon there are three hair stylists. 27% of the hair cuts are done by Martin, 30% are done by Jennifer, and 43% are done by Dorcas. Martin finds that when he does hair cuts, 6% of the customers are not satisfied. Jennifer finds that when she does hair cuts, 7% of the customers are not satisfied. Dorcas finds that when she does hair cuts, 3% 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 Dorcas

Answer 1

Dorcas's Hair Salon

If the customer is not satisfied, the probability that their hair was done by Dorcas is:

= 18.75%

Explanation:

Number of hair stylists = 3

Martin Jennifer Dorcas Total

Percentage of haircuts

done 27% 30% 43% 100%

Percentage of dissatisfied

customers 6% 7% 3%

Proportion of dissatisfied

customers 37.5% (6/16) 43.75% (7/16) 18.75% (3/16)

If the customer is not satisfied, the probability that their hair was done by Dorcas

= 18.75%