A note before the numbers
Blackjack is a game of chance with a built-in advantage for the casino. No strategy, system, pattern or timing changes the odds in the player’s favor over time, and most players lose money over time. The examples below are hypothetical and are meant to explain how a payout rule works, not to suggest a way to win. Nobody should gamble money they cannot afford to lose.
What the payout refers to
A natural, which is a two-card hand of an ace and a ten-value card, is paid at a premium compared with an ordinary win. The standard premium is 3 to 2: for every $2 bet, the player is paid $3. Some tables instead pay 6 to 5, meaning $6 for every $5 bet. Both are described as “blackjack pays…” on the table layout.
Ordinary winning hands are paid at even money under either rule, so only the naturals are affected.
The difference in dollars
Here is the payout on a natural for several hypothetical bets:
| Bet | Paid at 3 to 2 | Paid at 6 to 5 | Difference |
|---|---|---|---|
| $5 | $7.50 | $6.00 | $1.50 |
| $10 | $15.00 | $12.00 | $3.00 |
| $25 | $37.50 | $30.00 | $7.50 |
| $100 | $150.00 | $120.00 | $30.00 |
The arithmetic: 3 to 2 is a payout of 1.5 times the bet, while 6 to 5 is 1.2 times the bet. A $10 bet therefore pays $15 or $12, and the difference is $3. At first glance, a few dollars on a hand does not sound like much, which is part of why it is easy to overlook, and part of why the framing effects of the posted sign matter. “6 to 5” is just two small numbers; the difference only becomes visible when it is translated into money.
How often it matters
A natural does not come up on every hand. In a fresh 52-card deck, the chance that a player’s first two cards are an ace and a ten-value card is 2 × (4/52) × (16/51) = 128/2,652, which is about 4.8 percent, or roughly 1 hand in 21. With more decks the figure is slightly lower, around 4.7 percent. A few of those naturals are pushed when the dealer also has one, so the payout is received slightly less often than the raw chance suggests, but the simple figure is enough for an estimate.
Take a hypothetical player who bets $10 on each of 100 hands:
- Total wagered: $1,000.
- Naturals expected: about 4.8.
- Extra cost of 6 to 5: about 4.8 × $3 = $14.40, which is roughly $14.
That works out to about 1.4 percent of the amount wagered. In other words, a 6 to 5 payout raises the casino’s edge by roughly 1.4 percentage points relative to 3 to 2, other rules being equal. For comparison, the edge under standard rules with sound decisions is generally described as well below one percent, so the reduced payout can multiply the cost of playing several times over. The size of the change depends on the other rules at the table, but the direction is clear.
This is an average. In any one session, a player could see no naturals at all or several in a row, which is a normal effect of chance. The difference in expected cost accumulates over many hands, a point made by the law of large numbers.
Cost per hour
Speed makes the gap larger. Assume, hypothetically, 60 hands an hour at $10 a hand. That is $600 wagered per hour, and about 2.9 expected naturals (60 × 0.048). At $3 less per natural, the added expected cost is about $8.70 per hour. Over a long evening that is a noticeable amount, and it comes before the rest of the edge is counted. This kind of hourly expected loss calculation applies to any game: speed, bet size and edge combine.
Why the posted rules matter
The payout is only one rule among several that move the edge:
- Whether the dealer stands or hits on soft 17.
- How many decks are used.
- Which hands may be doubled, and whether doubling after a split is allowed.
- Whether surrender is offered.
- Whether the dealer peeks for a natural.
Basic strategy cannot offset a reduced natural payout, because the cost comes from the payout itself, not from a decision the player makes. A careful player with good decisions sits at a worse table and pays more per hand than the same player at a better one.
The rules are usually printed on the felt or on a sign beside the table. Online, they are normally in the game’s information screen. Reading them is part of understanding the real cost of the game, and it is much easier to do before placing a bet than after. A table with a lower payout may also be marketed with lower minimum bets or a faster pace, which can obscure the cost.
What this does not mean
Finding a 3 to 2 table does not turn blackjack into a game the player expects to win. It only avoids a rule that makes the average loss larger. Even with the standard payout, the edge remains, results swing widely in the short run, and a budget set in advance is the sensible way to treat any session. Anyone who feels that gambling is becoming a problem can contact local support services.