Exact model
Texas Hold’em: a non-royal straight flush
- Probability:
- 0.0279%
- Odds:
- 1 to 3,590
- dBan
- −35.6 dBan
A non-royal straight flush is the best five-card hand in about one seven-card deal out of 3,590.
Calculation
p = (41,584 straight flushes including royals − 4,324 royals) / C(52, 7) = 37,260 / 133,784,560
Assumptions
A standard 52-card deck has no jokers. Two private cards and five community cards are dealt with no cards known in advance. The best five of seven cards sets the exact category, so stronger categories are excluded. Folding, opponents, and the chance of winning are outside this model.