[jasperry]

I don't know of any algorithm to cull non-winnable Klondike games. Playing deal-1 instead of deal-3, and with unlimited flipping of the stock, the win chance is probably close to 50%, but that still makes 2000 in a row statistically impossible.

My guess is that the poster's mom was actually playing FreeCell, in which nearly every game is winnable and people do get streaks like that.

[chocochunks]

You don't need an algorithm. You can just record seeds that are solvable. The current version of Klondike in MS Solitaire is winnable unless you play "Random" difficulty.

[npinsker]

It’s quite doable, if you don’t mind culling some winnable games too. The object isn’t to have a perfect classifier.