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CRA 317: Proposition Bet House Edge

A direct house-edge breakdown of the center-table proposition bets that look exciting and cost more.

CRA 317: Proposition Bet House Edge
Point Value
House Edge Often 11% to 16%+
Difficulty Medium
Skill Ceiling Medium

Craps proposition bets usually have high house edges because they are paid below true odds and resolve quickly. Any Seven is commonly about 16.67%. Any Craps is about 11.11%. Hop bets often sit around 11.11% or 13.89%. These bets are exciting, but the math is expensive.

Quick Facts

  • Proposition bets live in the center of the craps layout.
  • Many proposition bets resolve in one roll.
  • One-roll bets create fast expected loss because decisions happen quickly.
  • Any Seven commonly pays 4:1 against true odds of 5:1.
  • Any Craps commonly pays 7:1 against true odds of 8:1.
  • Easy hop bets and hard hop bets usually have different true odds.
  • High payout does not mean high value.

Plain Talk

A proposition bet is a specific bet offered in the center of the craps table. It might be Any Seven, Any Craps, Horn, Yo, Aces, Boxcars, C and E, a hop bet, or a similar call.

The appeal is simple: small chip, loud call, quick result, big-looking payout.

The cost is also simple: the casino pays less than the true probability deserves. The bet may win rarely and pay 15:1 or 30:1, but if the true odds are worse than the payout, the edge remains with the house.

The Wizard of Odds craps basics is useful for comparing proposition payouts with probability, while the Wizard house-edge comparison shows how many center bets sit far above low-edge craps wagers. Formal pay schedules can also be seen in regulated rules such as the Massachusetts craps rules.

How It Works

Most center bets are booked by the dealer or stickman. The player calls the bet and tosses chips to the center. The crew places the wager in the correct box.

BetWins onCommon payoutApprox. house edge
Any SevenAny 74:116.67%
Any Craps2, 3, or 127:111.11%
Yo1115:111.11%
Aces230:113.89%
Boxcars1230:113.89%
Easy hopSpecific non-pair combination15:111.11%
Hard hopSpecific pair30:113.89%

The exact layout and available bets vary by property. The math pattern is the same: count the winning combinations, compare true odds with payout, then calculate the shortfall.

Craps Table Example

A player throws in $5 and says, “Any seven.”

There are six ways to roll 7:

  • 1-6
  • 2-5
  • 3-4
  • 4-3
  • 5-2
  • 6-1

There are 30 ways not to roll 7.

A fair payout would be 5:1 because 30 losing combinations are competing against 6 winning combinations. The casino commonly pays 4:1.

On a $5 bet:

ResultOutcome
7 rollsWins $20
Anything elseLoses $5

That payout feels sharp because the result is immediate. The missing unit in the payout is where the house edge lives.

From the Casino Side:

Center action is noisy. It creates stick calls, late bets, dealer bookings, payout stacks, and disputes over exactly what the player said.

The stickman must repeat center action clearly. The base dealer must place chips in the correct area. The boxman watches whether the bet was made before the dice were out and whether the payout is correct. Surveillance watches hand movement and late chips because proposition bets are vulnerable to “past posting” attempts after a known result.

From a game-manager perspective, proposition bets add hold percentage. They also slow the table when players make too many last-second calls. A skilled crew keeps center action moving without letting the table become loose.

Common Mistakes

  • Thinking “one roll” means “small risk.”
  • Confusing a high payout with a fair payout.
  • Calling multiple center bets without knowing how the chips are split.
  • Making horn or world bets without understanding the built-in Any Seven component.
  • Assuming all hop bets have the same edge.
  • Forgetting that fast resolution means more decisions per hour.
  • Treating proposition bets as insurance.

Hard Truth

Proposition bets are built for excitement per second. That is exactly why the casino wants them in the center of the table.

FAQ

What is a proposition bet in craps?

It is usually a center-table bet with a specific outcome, often resolving in one roll.

Why are proposition bets expensive?

Because the casino payout is below true odds, and many proposition bets resolve quickly.

What is the Any Seven house edge?

Commonly about 16.67% when paid 4:1.

What is the Any Craps house edge?

Commonly about 11.11% when paid 7:1.

Are horn bets better than single proposition bets?

Not automatically. A horn bet is just a bundle of proposition bets. The blended value depends on the components and payouts.

Are hop bets always bad?

They are usually high-edge bets. Easy hops and hard hops are priced differently but both are expensive compared with line bets.

Should proposition bets be part of a craps strategy?

Only if the strategy is entertainment. They are not cost-reduction bets.

Deeper Insight

The proposition-bet problem is not that rare events exist. Casinos can offer rare-event bets fairly if they pay true odds. The problem is that the casino pays less than true odds.

For Any Seven:

  • Winning combinations: 6.
  • Losing combinations: 30.
  • True odds: 30 to 6, simplified to 5:1.
  • Common payout: 4:1.

For Any Craps:

  • Winning combinations: 2, 3, 12 = 1 + 2 + 1 = 4.
  • Losing combinations: 32.
  • True odds: 32 to 4, simplified to 8:1.
  • Common payout: 7:1.

For Aces or Boxcars:

  • Winning combinations: 1.
  • Losing combinations: 35.
  • True odds: 35:1.
  • Common payout: 30:1.

This is why proposition bets can have different payouts but the same basic weakness. The payout is almost always one or more units short of true odds.

Formula / Calculation

Any Seven at 4:1:

Expected Value = (6/36 × 4) - (30/36 × 1)

Expected Value = 24/36 - 30/36 = -6/36

House Edge = 16.67%

Any Craps at 7:1:

Expected Value = (4/36 × 7) - (32/36 × 1)

Expected Value = 28/36 - 32/36 = -4/36

House Edge = 11.11%

Aces at 30:1:

Expected Value = (1/36 × 30) - (35/36 × 1)

Expected Value = 30/36 - 35/36 = -5/36

House Edge = 13.89%

Formula Explanation in Plain English

You multiply the chance of winning by what the casino pays, then subtract the chance of losing. If the payout matched true odds, the result would be zero before the casino edge. Proposition bets usually fall short, so the result is negative.

For bet-by-bet ranking, read Craps Proposition Bets Ranked and worst craps bets. For the foundation, use the craps guide, craps odds, and craps house edge. To see the cost in money instead of percentages, use the expected loss calculator or compare single-roll bets in the craps odds calculator.

Play smart. Gambling involves real financial risk. If the game stops being entertainment, it's time to stop playing.