Algodoo

The left hand selector is the main one. Pres enter to start. The winning marble (for example, white) corresponds to the game on the board to the right, so in the white case would be Quiz (games unavailable yet but tell me what you got in comments).

The right hand selector is only used in case of maroon winning (Majority Choice). Press 1 to start this. The marbles will race and whichever collector they land in is their "vote". Each collector has a marble at the top. If more marbles land in white than any other, the Quiz game would be played.

In case of maroon winning this race or a tie for most marbles, replay until there is a single winner who is not maroon. This is the played game.

Don't help any stuck marbles on the left course as only the winning marble matters. You could theoretically on the right but it is unlikely they would get stuck.

P.S. If a marble gets stuck on the edge of a collector on the right hand selector, count it as a vote for the collector that they are on top of unless they fall off onto another below.

Enjoy!