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Is every solitaire deal winnable? The published numbers, game by game
No: some deals cannot be won whatever you do, and how many depends on the game and on its exact rules. This page collects figures published by researchers and solver authors, with their sources. Each figure belongs to the rules named in its row; Decks's rules differ in places (noted below), so treat the numbers as a guide, not as a promise about any deal in any app.
| Game | Rules the figure is for | Share of deals that can be won | Source |
|---|---|---|---|
| Klondike, draw one | standard rules, every card's position known | about 90.5% (±0.1) | Blake & Gent, "Solving Klondike" (arXiv 1906.12314; JAIR 2026) |
| Klondike, draw three | same | about 81.9% (±0.1) | same |
| FreeCell | the 8.6 billion FreeCell Pro deals | all but 102,075 — about 1 deal in 84,000 is impossible | Pringle & Fish (2018), reported in Wikipedia's FreeCell article |
| Spider, four suits | PySolFC deals 1 to 65,000 | 64,998 won (99.997%) | Alex Robinson, plspider (tranzoa.net/alex/plspider.htm) |
| Black Hole | ace of spades in the hole, king and ace neighbours | 87.0% (869,979 of 1,000,000) | Politaire |
| Golf | queens may go on kings, no wrap from king to ace | 45.1% of 100,000 | Politaire ("Golf-B") |
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What the numbers mean
"Winnable" here means a solver, which can see every card, found a win. A real player cannot see face-down cards, so the share you win is lower — often much lower — than the share that can be won. For Klondike the two published figures are a ceiling for draw-one and draw-three play.
Where Decks differs
Decks deals Klondike one card at a time and lets the stock be redealt five times; its five levels also change the number of columns, so the Klondike figures are indicative only. In Black Hole, Decks starts the game with a random card in the hole, where Parlett's original uses the ace of spades. In Golf, Decks uses the rule set of the "Golf-B" row. Decks does not promise that any particular deal can be won.
FreeCell is the exception
FreeCell is the one popular solitaire where nearly every deal can be won: of the original 32,000 Microsoft deals only No. 11982 is impossible, and in the 2018 study above about one deal in 84,000 was.
Spider
With four suits Spider looks hopeless and is not: plspider has won all but two of the first 65,000 PySolFC deals, and Robinson estimates about one deal in 40,000 is unwinnable. See the Spider page for what changes between one, two and four suits.
Games not in the table
Pyramid, TriPeaks and Spanish Solitaire are not listed: we do not print a figure we could not check against a published source. To compare variants by rules rather than solver figures, see Which solitaire to play.
Frequently asked questions
What percentage of solitaire games are winnable? It depends on the game and the rules: about 90% for draw-one Klondike with every card known, about 82% for draw-three, 87% for Black Hole, and nearly all for FreeCell and four-suit Spider.
Is every game of Klondike winnable? No. Some deals are impossible from the start.
Are unwinnable FreeCell games real? Yes, but rare: deal 11982 of the original Microsoft set is the famous one.
Does Decks guarantee a winnable deal? No.
Play it on iPhone — no ads, no account, works offline. Free to download; daily game limit without Premium.
Also in Decks
- Black Hole Solitaire — rules and strategy
- Double Klondike — two-deck solitaire with nine columns
- FreeCell Solitaire — rules, moves and strategy
- Golf Solitaire — rules and strategy
- Klondike Solitaire — rules, five levels and strategy
- Memo — the memory card game, four sizes
- Pyramid Solitaire — rules, levels and strategy
- Spanish Solitaire — Klondike with a 40-card Spanish deck
- Spider Solitaire — 1, 2 and 4 suits
- Tower of Hanoi — with cards, three or four places, plus Two Towers
- TriPeaks Solitaire — rules and strategy
- Yukon Solitaire — rules and strategy