A solitaire game where almost every deal is solvable
FreeCell is the thinking person's solitaire game. Unlike Klondike, all cards are dealt face-up, so every game is about strategy, not luck. Use four free cells as temporary storage to move cards and build foundation piles from Ace to King. Nearly every game is winnable!
Almost! Out of the 32,000 standard FreeCell deals, only game #11982 is known to be unsolvable. So 99.997% of games can be won with perfect play.