2 or More
Once the game is set up each player takes turns removing the sticks from the game. For every stick that is removed without a ball dropping, that player gets to nominate someone to take a drink.
For every ball that is dropped while removing a stick, that player must take a drink. For example if four balls drop from removing one stick that player must take 4 drinks. The player that removes the stick that makes the remaining balls fall has to finish their drink.