A hair salon caters to both men and women. In addition to hairstyles, the salon provides back and shoulder massages. In the past, 42% of men have requested a massage and 61% of women have requested a massage. The salon’s customers are 48.2% men and 51.8% women.
a. If a customer arrives for a hair appointment, what is the probability that the customer is a woman who will also request a massage?
b. Calculate the probability that a customer will ask for a massage.
c. Given that the customer does ask for a massage, what is the probability that the customer is a man?