Royal Flush Odds — Probability of a Royal Flush in Poker

Last updated: May 27, 2026

The overall probability of a royal flush in a 5-card hand is 0.000154% (1 in 649,740). In 7-card Texas Hold'em, where you see two hole cards plus five community cards, the probability rises to 0.00323% (1 in 30,940) — roughly 21× more likely, because you form 21 different 5-card combinations from 7 cards. Royal flushes occur approximately once per 30,940 hands dealt to any individual player. The full breakdown by street, by hole card type, and the comparison to other rare hands is below.

The Core Numbers — 5-Card vs 7-Card

The 21× probability jump from 5-card to 7-card Hold'em is significant. In 7-card, each player's best hand is selected from 21 possible 5-card subsets — giving royals many more paths to completion via board cards and hole cards in combination.

5-Card Royal Flush

0.000154%

1 in 649,740

7-Card Hold'em Royal

0.00323%

1 in 30,940

AKs → Royal by River

0.020%

1 in 4,949

AKs → Flop Royal

0.0051%

1 in 19,600

Royal Flush Probability by Scenario and Street

Royal flush probability varies dramatically based on starting hand, street, and game format. The table below covers the most relevant scenarios — from the pure combinatorial 5-card probability through street-by-street completion rates for specific holdings.

Royal flush probability across scenarios

ScenarioProbabilityOddsDetail
Royal flush — random 5-card hand0.000154%1 in 649,7404 royal flushes exist in a 52-card deck (one per suit). C(52,5) = 2,598,960 total hands. 4/2,598,960 = 0.000154%.
Royal flush — 7-card Texas Hold'em0.00323%1 in 30,940Two extra cards raise probability ~21×. C(7,5)=21 possible 5-card subsets per hand. Most royals in Hold'em use 1 hole card + 4 board cards.
3-to-a-royal on flop (with suited Broadway hole cards)~0.90%1 in 111Holding AKs, KQs, QJs, JTs etc. — one specific flop card needed. Approximate rate across all qualifying flops for suited Broadway pairs.
4-to-a-royal on turn (needing one card)~4.35%1 in 23One specific card among 46 unseen cards. 2 qualifying cards (from 2 suits) ÷ 46 = 4.35% turn completion after flopping 3-to-royal.
AKs or JTs → royal flush by river0.020%1 in 4,949Any suited Broadway pair (AKs through JTs) needs specific 3 remaining Broadway cards on the board. Same probability for all 10 qualifying combos.
AKs → flop a royal flush (specific 3-card board)0.0051%1 in 19,600Holding A♥K♥, flop must be Q♥J♥T♥ — exactly 1 qualifying board out of C(50,3) = 19,600 possible flops.

The Math — Why 4 Suits × 1 Combination = 0.000154%

The 5-card royal flush probability is the cleanest calculation in poker math. A royal flush is uniquely defined: it is the only possible 5-card straight flush using A-K-Q-J-T. Because these 5 specific ranks exist in exactly 4 suits, there are precisely 4 royal flushes possible in a 52-card deck.

5-card probability (pure combinatorics)

Number of royal flushes in deck: 4 (one per suit)
Total 5-card hands: C(52,5) = 2,598,960
P(royal flush) = 4 / 2,598,960 = 0.0001539%
Expressed as 1-in: 2,598,960 / 4 = 1 in 649,740

7-card Hold'em (AKs completing a royal flush):
Need Q♠J♠T♠ among 5 community cards from 50 remaining
Qualifying 5-card board subsets: C(47,2) = 1,081 (other 2 boards can be anything)
Total 5-card boards: C(50,5) = 2,118,760
P = 1,081 / 2,118,760 ≈ 0.020% (1 in 4,949)

The 7-card Hold'em figure (1 in 30,940) is calculated differently: the number of 7-card hands containing a royal flush is 4,324. This equals the 4 royal flush suits × C(47,2) = 1,081 remaining card combinations for each suit. Total 7-card hands: C(52,7) = 133,784,560. Probability = 4,324 / 133,784,560 = 0.00323%.

How Rare Is a Royal Flush — Comparison to Other Hands

Putting the royal flush in context requires comparing it to nearby hands in the hierarchy. The jump from straight flush to royal flush is significant; the jump to quads is even larger.

Rare hand frequency comparison (5-card and 7-card)

ScenarioProbabilityOddsDetail
Royal Flush (5-card hand)0.000154%1 in 649,740The rarest standard poker hand. Only 4 exist in the deck — one per suit.
Straight Flush, non-royal (5-card)0.00139%1 in 72,1939× more common than royal flush in 5-card. 36 qualifying combinations vs 4 royals.
Royal Flush (7-card Hold'em)0.00323%1 in 30,94021× more likely in 7-card than pure 5-card. Extra community cards create many new paths.
Straight Flush incl. royal (7-card Hold'em)0.0311%1 in 3,217All straight flushes including royals — roughly 9× more common than royal flush alone.
Four of a Kind (7-card Hold'em)0.168%1 in 595Quads are 52× more common than royal flush in 7-card Texas Hold'em.
Full House (7-card Hold'em)2.60%1 in 38A full house is made roughly 2.6% of the time — 805× more common than a royal flush.

How Often Will You See a Royal Flush?

The 1 in 30,940 figure is an expectation, not a guarantee. Variance means individual players can go far more than 30,940 hands without a royal, or see several in rapid succession. The table below puts expected royal flush frequency in practical context.

ContextExpected RoyalsWhat It Means
Online poker worldwide (peak traffic)~10 royals/secondWith ~500,000 simultaneous hands online globally, royals appear constantly at scale
Online grinder — 1 million hands/year~32 royals/year1,000,000 × (1/30,940) ≈ 32. Approximately one royal flush every 11 days
Recreational player — 50,000 hands/year~1–2 royals/year50,000 × (1/30,940) ≈ 1.6. Expect roughly 1 royal flush per year of regular play
Live casino — single table, 30 hands/hour1 royal per ~1,030 hrs30 × 1,030 = 30,940 hands. At 30 hands/hr this takes about 6 weeks of continuous play
9-handed table — any player makes a royal~1 in 3,440 hands9 players × (1/30,940) ≈ 1/3,440. Significantly more common to witness than to hold

Tournament and Jackpot Implications

A royal flush is mechanically the same as any winning hand in tournament poker — it wins the pot. Its strategic implications are minimal beyond the standard value-extraction considerations. However, several secondary contexts make royal flushes significant:

Cash game — high hand jackpots

Most common bonus

Many live poker rooms track the highest hand made during a session (typically an 8-hour period) and pay a jackpot. Royal flushes win every high-hand contest automatically. Online rooms sometimes offer daily or weekly high-hand bonuses as well.

Bad beat jackpots

Rare but large payouts

Bad beat jackpots typically require the losing hand to be four-of-a-kind or better. A royal flush losing to another royal flush is impossible in standard Hold'em. A straight flush losing to a royal flush at showdown can trigger most bad beat structures — and the payout is usually shared with the table.

Tournament promotions

Room-specific

Some tournament series offer prize bounties for making a royal flush during the event — typically a merchandise prize, free buy-in, or poker room credit. These promotions vary by property and are not universal. Check with the specific poker room for current promotion details.

The extreme rarity of a royal flush means its implied odds are effectively unlimited — any opponent holding a flush, straight, set, or full house will almost certainly call all remaining chips. Royal flushes essentially cannot be slow-played too long since opponents with strong hands will never fold. Fast or slow play are both correct — the main strategic goal is pot maximization against opponents unable to put you on the specific hand.

Definitions

Royal Flush
A-K-Q-J-T all of the same suit. The highest-ranking poker hand and a special case of a straight flush using the top five ranks. Royal flushes cannot be beaten by any other hand. In a 52-card deck, there are exactly 4 royal flushes — one per suit. The 5-card probability is 4 / C(52,5) = 0.000154%. In 7-card Texas Hold'em: 0.00323%.
Broadway Cards
The five highest card ranks: Ace, King, Queen, Jack, and Ten. Any two Broadway cards of the same suit can serve as the foundation for a royal flush. There are 10 suited Broadway pairs (AKs, AQs, AJs, ATs, KQs, KJs, KTs, QJs, QTs, JTs) — all have identical royal flush probability of 0.020% by river.
Straight Flush
Five consecutive cards of the same suit. A royal flush is the highest straight flush (T-J-Q-K-A of one suit). In 7-card Hold'em, all straight flushes (including royal) appear approximately 0.0311% of the time. Royal flushes alone account for 0.00323% — roughly 1 in 9 of all straight flushes is a royal.
4-to-a-Royal Draw
Four Broadway cards of the same suit after three streets, needing one more to complete the royal flush. With 2 hole cards and 2 board cards, a 4-to-a-royal draw has approximately 4.35% probability of completing on the next card (2 qualifying cards remaining ÷ ~46 unseen cards). This draw is also a made flush or nearly made flush simultaneously.
Bad Beat Jackpot
A casino promotion that pays a large bonus when an extremely strong hand loses to an even stronger one. Royal flushes are relevant in two ways: (1) a royal flush that loses to another royal flush (impossible in standard Hold'em) would trigger virtually any jackpot, and (2) some rooms award 'high hand' bonuses to the best hand made during a session, where royal flushes are the top qualifier. Cash game royals sometimes trigger table-wide jackpot payouts.

Frequently Asked Questions

What are the odds of getting a royal flush in poker?

In a 5-card poker hand, the probability is exactly 1 in 649,740 (0.000154%). There are 4 royal flushes in a standard 52-card deck — one per suit. In 7-card Texas Hold'em, the probability rises to 1 in 30,940 (0.0032%) because you see 7 cards instead of 5, creating C(7,5) = 21 different 5-card hand combinations. This 21× multiplier explains why royal flushes in Hold'em are dramatically more common than the pure 5-card figure suggests.

What is the probability of a royal flush in Texas Hold'em (7 cards)?

0.00323% per hand — approximately 1 in 30,940 hands dealt to you. Across a 9-handed full ring table, the probability that any player makes a royal flush is roughly 0.029% (1 in 3,440 hands per deal). A player who plays 100,000 hands in their career has approximately a 27% chance of having made at least one royal flush. The 1 in 30,940 figure is for individual hand dealt, not community-card appearances.

What hole cards give the best chance of making a royal flush?

Any two Broadway suited cards — specifically AKs, AQs, AJs, ATs, KQs, KJs, KTs, QJs, QTs, and JTs. All 10 combinations have identical probability of completing a royal flush by the river: approximately 0.020% (1 in 4,949). AKs requires Q-J-T of your suit on the board; JTs requires A-K-Q of your suit. The card ranks differ but the probability is structurally identical — 3 specific cards needed from the remaining 50.

How rare is 3-to-a-royal-flush on the flop?

With suited Broadway hole cards (e.g., K♠Q♠), you need one specific matching Broadway card on the flop to make a 3-to-a-royal. The probability depends on how many qualifying cards remain: with KsQs, you need one of Js, Ts, or As. Approximately 9 qualifying cards × (1/flop slot probability) across the 3-card flop gives roughly 0.90% for flopping at least 3-to-a-royal with any suited Broadway pair. The exact figure varies by specific holding.

How is royal flush probability calculated?

In 5-card poker: royal flushes = 4 (one per suit). Total 5-card hands = C(52,5) = 2,598,960. Probability = 4/2,598,960 = 0.000154%. For 7-card Hold'em, the calculation is more complex: count all 7-card combinations that contain a royal flush as a 5-card subset, then divide by C(52,7) = 133,784,560 total 7-card combinations. The result is 4,324 / 133,784,560 ≈ 0.00323%. The 4,324 figure counts all 7-card hands containing a royal flush (accounting for the 3 additional cards that can be anything).

Is a royal flush always the winning hand?

Always. A royal flush is the highest-ranking hand in standard poker — A-K-Q-J-T of one suit. No hand can beat it. The only 'tie' scenario would require two players holding royal flushes simultaneously, which in Texas Hold'em requires both players sharing all 5 board cards as their best hand. If two players both have the best 5-card hand being the board's royal flush, they chop the pot. Two players each contributing private cards to separate royal flushes cannot occur — the deck only contains one royal flush per suit.

What are the tournament implications of a royal flush?

In live tournaments, a royal flush rarely affects the outcome mechanically (it wins the pot like any other hand). However, many casinos offer high-hand jackpots or bad beat jackpots that may pay bonuses for royal flushes — though this is more common in cash games than tournaments. In cash games, a royal flush losing to a higher hand is impossible, but a royal flush that beats a straight flush (an extreme rarity) can trigger bad beat jackpots at many rooms. Some tournaments award prizes for making a royal flush during play as a promotional feature.

Recommended Reading

The Mathematics of Poker Bill Chen & Jerrod Ankenman

The definitive quantitative treatment of poker — game theory, equity, and EV from first principles.

Modern Poker Theory Michael Acevedo

GTO principles made practical — ranges, frequencies, and solver-backed strategy in one volume.

The Theory of Poker David Sklansky

The classic foundation every serious player starts with — the Fundamental Theorem of Poker.

As an Amazon Associate, RiverOdds earns from qualifying purchases.

Related Guides

Flopping a Royal FlushStraight Flush OddsPoker Hand RankingsTexas Hold'em Probability

See royal flush equity on any board

Enter Broadway suited hole cards into RiverOdds and watch royal flush probability update street-by-street as community cards are dealt.

Open RiverOdds Calculator →