Do Schools Offer Free Sports Programs for Kids?

Moms I’ve been asking this question to myself . Do the kids at school get to choose a sport?
My daughter loves basketball but I don’t have the money to pay for clases. At what age do they get to choose a sport from school or those kids that do sports at school they pay for it or what ? I’m not very informed about that. My daughter is in 3rd grade and everyone on her class is doing sports and she says that she wants to join but I don’t know if that comes from school or just the parents pay for it. Anyone knows?