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Luck

Royal flush (5-card poker)

Odds

1 in 649,740

per 5-card hand · Standard 52-card deck

What this means

A royal flush is the rarest standard poker hand. Unlike lightning or shark stats, this figure is exact under fair-shuffle assumptions.

Methodology

Exact math: C(52,5) = 2,598,960 possible hands; 4 royal flushes → 2,598,960 / 4 = 649,740.

Updated 2026-01-15

Source

Combinatorics (exact) ↗

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Odds of a royal flush: 1 in 649,740 (per 5-card hand). — How Likely Is That? https://www.howlikelyisthat.com/odds/odds-of-a-royal-flush

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