what would happen if??

[MIZantine Empire]

i have always wondered this. in baseball when a pitcher makes his first pitch in the big leagues they throw the ball to the dug out for him to keep. when a hitter gets his first hit in the bigs they also throw the ball to the dug out so he can keep it as well..what would happen if a pitcher made his first pitch in professional baseball against a guy making his first plate appearance, and he swings at it and smacks a hr or something? who gets the ball? lol