Kim has a strong first serve; whenever it is good (that is, in), she wins the point 75% of the time. Whenever her second serve is good, she wins the point 50% of the time. Sixty percent of her first serves and 75% of her second serves are good.
(a) What is the probability that Kim wins the point when she serves?
(b) If Kim wins a service point, what is the probability that her first serve was good?