In a recent year, 8,466,285 male students and 1,854,582 female students were enrolled as undergraduates. Receiving aid were 64.9% of the male students and 65.6% of the female students. Of those receiving aid, 41.1% of the males got federal aid and 53% of the females got federal aid. Choose 1 student at random. (hint: make a tree diagram.) find the probability of selecting a student from the following.

P(female with aid)=

P(male student, given that the student has aid)=

P(female student, or student who receives federal aid)=