Is Every Solitaire Game Winnable? Win Rates for All 8 Variants

The Short Answer

No. Not every solitaire game is winnable, and this is true for every variant to different degrees. Some deals are mathematically impossible to solve no matter how you play.

The percentage of deals that are theoretically solvable varies enormously by variant — from FreeCell at nearly 100% to Pyramid at around 2-5%.

Win Rates by Variant

| Variant | Solvable Deals | Practical Win Rate | Notes | |---|---|---|---| | FreeCell | ~99.999% | ~75-85% | All cards visible; losing = player error | | Spider 1-Suit | ~99% | ~60% | Single suit makes sequencing easy | | TriPeaks | ~90% | ~70-80% | Most deals have a solution | | Klondike Draw One | ~79-82% | ~33% | Hidden cards prevent perfect play | | Klondike Draw Three | ~75-79% | ~15-20% | Harder draw mode; fewer accessible cards | | Golf | ~30-40% | ~25-35% | King/Ace dead ends kill many deals | | Spider 2-Suit | ~20-30% | ~15-20% | Two suits add significant complexity | | Spider 4-Suit | ~8-10% | ~5-10% | Four suits; one of the hardest variants | | Forty Thieves | ~10-15% | ~5-10% | Two decks, single-card moves only | | Pyramid | ~2-5% | ~1-2% | Most deals are mathematically unsolvable | | Yukon | ~70-75% | ~25-35% | Similar to Klondike solvability |

Why "Solvable" and "Win Rate" Are Different Numbers

You will notice two numbers in the table: solvable deals (theoretical) and practical win rate. The gap between them matters.

Solvable means a path to victory exists somewhere in the game tree — if you made perfect moves every time, you could win. Practical win rate is what real players (or computer players with limited look-ahead) actually achieve.

For Klondike Draw One, roughly 80% of deals have a solution. But experienced players win only around 33% of games. Why? Because the face-down cards create hidden information. You cannot know whether to move your red 6 onto the black 7 or save it for a different sequence without seeing what is under the face-down cards. Even with optimal decision-making given available information, you will make wrong choices because you cannot see the future.

FreeCell is the exception: all 52 cards are visible from the start, so losing FreeCell is almost always a mistake by the player, not an unwinnable deal.

Klondike: Why ~80% Solvable But Only ~33% Win Rate?

Klondike is one of the most studied games in recreational mathematics precisely because this gap is so striking and so hard to close.

The ~80% solvability figure comes from studies of "Thoughtful Klondike" — a variant where all cards are dealt face-up, removing the hidden information. With complete information, about 80% of deals have a winning line.

Standard Klondike (face-down cards) is harder to analyze because it is a partially observable system. You make decisions without knowing what cards are hiding under the face-down piles. Even if you play "correctly" given what you can see, the hidden cards may make your correct decision the wrong one in hindsight.

This is part of what makes Klondike interesting: luck and skill both matter, and you can never fully separate them.

FreeCell: Why Is It Almost Always Winnable?

FreeCell was catalogued extensively when Microsoft first released the game — each deal was given a number (1 through 32,000). Researchers analyzed every deal and found exactly one unsolvable game: deal #11982.

For randomly generated FreeCell deals beyond those original 32,000, the unsolvable rate is approximately 1 in 100,000. The reason is the game's structure: with four free cells available as temporary storage and all cards visible, nearly every arrangement of cards has at least one path to victory.

When you lose FreeCell, it is almost certainly because of a mistake made early in the game — wrong card placement that locked a critical card away. This is what makes FreeCell uniquely satisfying: losses are earned, not dealt.

Pyramid: Why Is Only 2-5% Winnable?

Pyramid Solitaire has by far the lowest win rate of any major solitaire variant, and it surprises most players.

The game requires you to remove pairs of cards that sum to 13. Every card has exactly one partner it pairs with — a 6 needs a 7, a 5 needs an 8, a Queen (12) needs an Ace (1). Kings can be removed alone.

The problem is combinatorial: for each card, its only possible partner must be accessible at the same time. If both cards of a required pair are buried behind other cards, the game may become unwinnable long before you realize it. Worse, some deals have critical cards arranged so that removing them in any order creates a deadlock — and there is no way to know this without deep look-ahead.

Studies of randomly dealt Pyramid games estimate only 2-5% of deals are solvable. Most games you play are mathematically impossible regardless of skill. This is not a reflection of your ability — it is just the nature of the game's constraints.

Spider 4-Suit: Why Is It So Hard?

Spider Solitaire's difficulty scales with the number of suits in play. With one suit, every card can go on every other card of the right rank, making sequence-building trivial. With four suits, a card can only go on a card of the same suit — which dramatically limits your options.

The ~8-10% solvability for four-suit Spider reflects how many random arrangements simply cannot be untangled. The game uses two full decks (104 cards), and building eight complete same-suit sequences from King to Ace requires careful management of which cards are accessible at every step.

Even experienced Spider players who win four-suit games regularly estimate their win rate at 5-15%. If you are losing four-suit Spider most of the time, you are playing it correctly.

How to Tell If a Game Is Unwinnable

There is no reliable way to know a game is unwinnable in Klondike until you exhaust all options. The best indicators that you are stuck:

1. You have cycled through the stock multiple times with no new moves.
2. A key card is buried and every card that could uncover it is also buried behind other cards.
3. Two cards of the same rank block each other — both red 7s are buried under face-down cards in columns that require each other to be cleared first.
4. The foundation has progressed unevenly — one suit is at 10 while another is at 2, and the low-suit cards are buried.

None of these are guaranteed indicators, but if multiple conditions apply, the game is likely unwinnable. Using hints and undo together can help you explore whether any line remains.

Should You Resign or Keep Playing?

When a game looks stuck, undo back to a key decision point and try the alternative. This is the best way to explore whether a winning line exists.

If you have explored several alternatives and every line leads to the same dead end, resigning and starting fresh is a reasonable choice. Your time is worth more than repeatedly cycling an unwinnable deal. Klondike's ~20% of unwinnable deals exists — accepting that and moving on is part of playing.

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Play Now

See the win rates in action — choose a variant and find out how it plays:

• Klondike Solitaire — classic, ~33% win rate
• FreeCell — 99.999% solvable, pure strategy
• Spider Solitaire 1-Suit — ~60% win rate, great for beginners
• Spider Solitaire 4-Suit — ~8% solvable, for experts
• Pyramid Solitaire — ~2% solvable, the hardest