Mississippi Stud Royal Flush: 1 in 649,740 — and Up to 5,000 Antes

Mississippi Stud’s top prize is quietly one of the biggest in the pit: a royal flush pays 500 to 1 — on every unit you have in play. Raise the maximum on all three streets and a $5 ante becomes a $25,000 payday. Here’s the exact math behind the dream.

The exact odds

Your final hand is your 2 hole cards plus all 3 community cards — five cards, no choices about which. Of the 2,598,960 possible five-card hands, exactly 4 are royals:

P(royal flush) = 4 / 2,598,960 = 1 in 649,740.

At a live table pace of about 40 hands an hour, that’s one royal per ~16,000 hours of play — the “once a career” hand. (In the simulator at a few seconds a hand, you can realistically hunt one down in an afternoon.)

Why it pays up to 5,000 antes

Everything you bet in Mississippi Stud — the ante and each street raise — pays the same paytable. With max 3× raises on all three streets you have 10 units working (1 + 3 + 3 + 3). A royal pays 500:1 on each: 5,000 antes. And here’s the beautiful part: by the time you hold four to a royal, the strategy has long since told you to raise the maximum — when the monster arrives, correct play guarantees you’re fully loaded for it.

What the royal adds to your return

Rare-but-huge hands carry real weight. The royal contributes about 500 × 10 × (1/649,740) ≈ 0.8% of an ante to your expected return all by itself — small per hand, but a meaningful slice of why the game’s 4.91% edge isn’t worse, and the single biggest reason Mississippi Stud sessions are so swingy.

The honest framing

You don’t play Mississippi Stud for the royal — at 1 in 649,740 it’s a rounding error on any single night. You play the exact fold/raise strategy, and the royal is the lottery ticket stapled to it for free. Deal until you hit one — the simulator settles it exactly.