Those are three general categories into which most audio-games fall. Stochastic is, in essense, a fancy word for chance, or for probability.
Interactive games involve the user's participation.
Most games fall into more than one of these three categories. It's hard to call anything that isn't the slightest bit interactive a game, but cool self-generating games are often entertaining. Because we're cheap. Honestly, not all the free games are free, since some of the offline games come on music CDs as bonus tracks. They're just one person's opinion.