Do males or female high school basketball players have a better chance of playing on college teams? On professional teams? Include probability numbers

Question

high school players:
male - 549,500
female - 456,900

college players:
male - 4,500
female - 4,100

college players drafted by pro leagues:
male - 44
female 32

Answer 1

College = male 45/5495, female 41/4569

Assuming pro players are only recruited from college:

Pro = male 44/4500 female 32/4100