Keno odds: how fast the chance to catch every spot falls
Concepts
One chosen number is drawn 25% of the time. All 4 of 4 spots come up 1 in 326 games, all 6 of 6 1 in 7,753, and all 10 of 10 1 in 8,911,711.
- 1 in 326all 4 of 4
- 1 in 7,753all 6 of 6
- 1 in 8,911,711all 10 of 10
The Base Probability
Keno draws twenty numbers from a pool of eighty. This ratio gives each selected number a one-in-four chance of being drawn. The table below lists the specific probabilities for catching all chosen spots. These figures reflect the mathematical reality of independent draws. Each spot adds a new layer of probability that must align with the previous ones. The result is a steep decline in likelihood as the count increases.
| Spots caught | Chance |
|---|---|
| 1 of 1 | 1 in 4.0 |
| 2 of 2 | 1 in 16.6 |
| 3 of 3 | 1 in 72.1 |
| 4 of 4 | 1 in 326 |
| 5 of 5 | 1 in 1,551 |
| 6 of 6 | 1 in 7,753 |
| 7 of 7 | 1 in 40,979 |
| 8 of 8 | 1 in 230,115 |
| 9 of 9 | 1 in 1,380,688 |
| 10 of 10 | 1 in 8,911,711 |
How Spots Multiply Difficulty
Catching every spot requires each individual choice to succeed simultaneously. As you add spots, the fraction of remaining drawn numbers available for the next pick shrinks. This causes the overall probability to multiply by increasingly smaller values. The table above shows how the chance to catch four spots is more likely than catching six. The gap widens further when comparing six spots to ten. Each step down represents a significant loss in probability.
Comparing Spot Counts
The difference between catching four spots and ten spots is substantial. Four spots occur far more frequently than ten. Six spots sit between these extremes, occurring less often than four but more often than ten. This hierarchy holds true regardless of the specific game rules. The structure of the draw ensures that higher spot counts remain rare events. Players should expect infrequent full catches as they increase their selection size.
Understanding the Drop
The rapid decline in odds is not linear. It follows a multiplicative pattern where each added spot reduces the chance by a fixed proportion of the remaining possibilities. This explains why the jump from four to ten spots results in such a large difference in frequency. The table provides the exact ratios for these common spot counts.
Questions
Why do keno odds drop so quickly?
Each additional spot must match a drawn number from a shrinking pool of remaining possibilities. This multiplicative effect causes the overall probability to fall faster than the number of spots increases.
Is catching four spots easier than ten?
Yes. The chance to catch all four spots is significantly higher than catching all ten. The table shows this difference clearly, reflecting the compounding nature of independent draw requirements.
Do payouts affect these odds?
No. The probabilities listed depend only on the number of spots chosen and the draw structure. Payout schedules vary by operator but do not change the underlying mathematical likelihood of catching every spot.
Where can I find support for gambling habits?
If gambling stops being fun, free help is available through support services. These resources offer guidance for managing time and money spent on games.
Every figure on this page is computed by code from exact fractions, a complete enumeration of every baccarat deal and a recursive blackjack model, each checked a second way. See the methodology.