
| Scenario | Odds Estimate | Notes |
|---|---|---|
| Dealt a royal flush outright | 1 in 649,740 hands | This is without drawing—just the initial five-card deal. |
| Draw into a royal flush | Varies by situation | Depends on how many royal cards you hold and how many you draw. |
| Holding 4 royal cards, drawing 1 | 1 in 47 | You need one specific card from the remaining 47. |
| Holding 2 royal cards, drawing 3 | 1 in 16,215 | Much harder, but still possible. |
| Overall odds (with optimal play) | ~1 in 40,000 hands | This is an average across many hands and strategies. |