Alex Rodriguez proved he’s a baller on the baseball diamond and the hardwood … ’cause he tossed up a shot Sunday from halfcourt and made it — helping out one lucky student in the process.

The former Yankees third baseman was in attendance to watch Army take on Bucknell University Saturday afternoon in basketball … and, during halftime he was invited to take a huge shot from the middle of the floor.

Check out the vid … A-Rod — clad in a bright orange Bucknell t-shirt — tosses the ball up, hits the backboard and the ball goes straight through the hoop.

Rodriguez scoops the student up into a big hug right after he won him the money … a moment that has to feel more like a dream than real life for this lucky fan.

BTW … Bucknell crushed Army, 84-53 — so, it was a pretty darn good day all around for Bucknell U.