Galtoni

Your goal in Galtoni is to place four balls of your color in a straight line, whether diagonal or orthogonal.

Unlike in other games with this concept, this game has a randomizing element in that the board resembles a Galton Board. Players take turns inserting a ball in one of the openings at the top of the slanted board. As the ball rolls down the board, it hits a series of pegs that deflect it and bounce it around before it lands in one of seven slots at the bottom of the board.

You can play with each player dropping only balls of their own color, or you can have players draw a ball at random from a bag, thereby possibly forcing them to figure out where best to drop a ball of an opponent's color. Two neutral balls are included, and these count toward each player's line.