“Is every Solitaire game winnable?” is one of the most common questions about the game. The short answer is no — but the full picture is much more interesting. Here's what mathematicians, computer scientists, and millions of games of data tell us about Klondike Solitaire probabilities.
Are All Deals Winnable?
No. Approximately 79% of Klondike Solitaire deals are theoretically solvable with perfect play. The remaining ~21% are mathematically impossible to win, regardless of how skilled the player is.
This was established through large-scale computer analysis. Researchers used programs that explored every possible move sequence for thousands of deals. The landmark study by Yan et al. (2005) analyzed the game using Monte Carlo methods and confirmed these figures.
Win Rates by Mode and Skill
| Player Level | Draw 1 Win Rate | Draw 3 Win Rate |
|---|---|---|
| Beginner | 10–15% | 2–5% |
| Casual player | 25–30% | 8–12% |
| Experienced player | 35–40% | 15–20% |
| Expert | 40–43% | 20–25% |
| Computer (perfect play) | ~82% | ~79% |
The gap between perfect computer play (~82%) and expert human play (~43%) exists because humans can't see face-down cards. Even with perfect strategy, the hidden information means some decisions are effectively coin flips.
How Many Possible Deals?
A standard 52-card deck can be arranged in 52! (52 factorial) different ways. That's approximately:
8.07 × 1067
To put this number in perspective:
- It's larger than the estimated number of atoms in the observable universe (~1080, but the deck arrangements approach the same order of magnitude)
- If every person on Earth played one unique deal per second, it would take about 3 × 1050 years to play them all
- Every game of Solitaire you play is almost certainly a deal that has never been played before in human history
Thoughtful Solitaire (No Hidden Cards)
“Thoughtful Solitaire” is a variant where all cards are dealt face-up, removing the luck element entirely. Research shows that approximately 82% of Thoughtful Klondike deals are solvable. This gives us the upper bound on winnability — even with complete information, about 18% of deals can't be won.
Solvability of Other Variants
| Variant | Solvability Rate | Notes |
|---|---|---|
| Klondike (Draw 1) | ~82% | With perfect play |
| Klondike (Draw 3) | ~79% | Limited stock access |
| FreeCell | 99.999% | 1 known unsolvable deal out of 32,000 |
| Spider (1 suit) | ~99% | Very high with good play |
| Spider (4 suits) | ~33% | Extremely challenging |
| Pyramid | ~2% | Very luck-dependent |
Speed and Scoring
Common benchmarks for Klondike Solitaire performance:
| Metric | Casual | Good | Excellent |
|---|---|---|---|
| Completion time | 10–15 min | 5–8 min | Under 3 min |
| Moves per game | 150+ | 100–130 | Under 90 |
| Win streak | 2–3 | 5–7 | 10+ |
How to Improve Your Stats
- Start with Draw 1 to build fundamentals before moving to Draw 3
- Learn the key strategies — our 10 tips guide can boost your win rate by 10–15%
- Track your progress — Solitaires.gg records your games played, win rate, best time, and best score automatically
- Play daily challenges — competing against the same deal as other players helps you benchmark your skill
- Don't waste time on dead deals — if you've cycled the stock 3+ times with no new moves, start fresh
Frequently Asked Questions
Is every game of Solitaire winnable?
No. Research shows that approximately 79% of Klondike Solitaire deals are theoretically solvable with perfect play. About 21% of deals are mathematically impossible to win regardless of skill.
What is the average win rate in Solitaire?
The average player wins about 30% of Draw 1 games and 10–15% of Draw 3 games. Expert players can achieve win rates of 43% (Draw 1) and 25% (Draw 3).
How many possible Solitaire deals are there?
There are approximately 8 × 1067 (80 unvigintillion) possible ways to deal a standard 52-card deck for Klondike Solitaire. This means virtually every game you play is a unique deal never played before.