In a second-semester english class, 35% of the students are sophomores and the rest freshmen; 20% of the sophomores are repeating the course and 15% of the freshmen gained admission to the course by advanced placement. the professor randomly selects a student to comment on the assignment. (round your answers to three decimal places.)

(a) find the probability that the professor selects a sophomore who is repeating the course.
(b) find the probability that the professor selects a freshman who gained advanced placement admission to the class.