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Craps Hop Bet Calculator

Calculate odds, payouts, and expected value for hop bets on specific dice combinations. Compare easy and hard hop payouts.

By Joseph Orduna·Reviewed January 20, 2026·How this works
Formula:House Edge = (True Odds - Actual Payout) / (True Odds + 1)

For mathematical education only. This tool computes probabilities and expected values; it is not a betting system and cannot predict individual outcomes.

If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline: 1-800-GAMBLER (1-800-522-4700), or visit ncpgambling.org.

How these calculators are built →

Payout

15:1

Win $75.00

Win Probability

5.56%

2 of 36

House Edge

11.11%

True: 17:1

Expected Value

$-0.56

Easy hop - 2 way(s) to roll

$

Amount to wager on the hop

Different casinos offer different payouts

All Hop Bets Reference

CombinationTypeWaysProbPayoutEdge
Hop 1-2 (3)Easy25.56%15:111.11%
Hop 1-3 (4)Easy25.56%15:111.11%
Hop 1-4 (5)Easy25.56%15:111.11%
Hop 1-5 (6)Easy25.56%15:111.11%
Hop 1-6 (7)Easy25.56%15:111.11%
Hop 2-3 (5)Easy25.56%15:111.11%
Hop 2-4 (6)Easy25.56%15:111.11%
Hop 2-5 (7)Easy25.56%15:111.11%
Hop 2-6 (8)Easy25.56%15:111.11%
Hop 3-4 (7)Easy25.56%15:111.11%
Hop 3-5 (8)Easy25.56%15:111.11%
Hop 3-6 (9)Easy25.56%15:111.11%
Hop 4-5 (9)Easy25.56%15:111.11%
Hop 4-6 (10)Easy25.56%15:111.11%
Hop 5-6 (11)Easy25.56%15:111.11%
Hop 1-1 (Aces)Hard12.78%30:113.89%
Hop 2-2 (Hard 4)Hard12.78%30:113.89%
Hop 3-3 (Hard 6)Hard12.78%30:113.89%
Hop 4-4 (Hard 8)Hard12.78%30:113.89%
Hop 5-5 (Hard 10)Hard12.78%30:113.89%
Hop 6-6 (Boxcars)Hard12.78%30:113.89%

Hopping the 7s (All Three Ways)

A popular hop bet strategy is "hopping all the 7s" - betting $1 on each 7 combination:

1-6
15:1 payout
2-5
15:1 payout
3-4
15:1 payout

Total cost: $3. If any 7 hits, you win $15 and lose $2 on the other two = +$13 net. Probability: 6/36 = 16.67%. Still a -11.11% house edge overall.

Easy vs Hard Hop Comparison

Easy Hops
  • • Two different numbers
  • • 2 ways to roll
  • • 5.56% probability
  • • 15:1 standard payout
  • • 11.11% house edge
Hard Hops
  • • Same number (doubles)
  • • 1 way to roll
  • • 2.78% probability
  • • 30:1 standard payout
  • • 13.89% house edge

Key Facts

  • •Hop bets are one-roll proposition bets
  • •Easy hops (two different numbers): typically 15:1 payout
  • •Hard hops (doubles): typically 30:1 payout
  • •True odds: 17:1 for easy, 35:1 for hard
  • •House edge: 11.11% (easy) to 13.89% (hard)
  • •All 21 possible dice combinations can be hopped
  • •Popular for "hopping the 7s" (1-6, 2-5, 3-4)

Frequently Asked Questions

What is a hop bet in craps?

A hop bet is a one-roll bet that a specific dice combination will appear on the next roll. For example, hopping 3-4 means betting the dice will show exactly a 3 and a 4 (in any order). These are proposition bets resolved in one roll.

What is the difference between easy and hard hop bets?

Easy hop bets are on combinations with two different numbers (like 2-5), which can appear two ways. Hard hop bets are on doubles (like 3-3), which can only appear one way. Hard hops pay more (30:1) but are less likely than easy hops (15:1).

What is the house edge on hop bets?

Standard hop bet house edges are 11.11% for easy hops (15:1 payout) and 13.89% for hard hops (30:1 payout). These are among the highest house edge bets in craps. True odds would be 17:1 and 35:1 respectively.

When would you use hop bets?

Hop bets are typically used by experienced players who believe the dice are "running" a certain way, or to protect other bets. For example, hopping all the 7s when you have money on the pass line during a come-out roll. However, they're mathematically poor bets.

Try These Examples

Quick-start with common scenarios

How this works

Calculations follow the published mathematics of the game — combinatorics for cards, probability theory for dice, and expected-value accounting for wagers. Results are verified against independent references (primarily Wizard of Odds). No calculation here is an opinion or recommendation; it is arithmetic applied to the rules of the game.

What this tool can’t do

When to consult a professional

This tool computes probability and expected value. It is not a betting system and cannot predict the outcome of any individual wager. If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline at 1-800-GAMBLER.

Sources

  1. [1]
    Wizard of Odds — Michael Shackleford, ASA
    Industry·wizardofodds.com·Accessed Apr 21, 2026

    Actuary; widely cited casino-game probability reference. Used for house-edge and EV verification.

  2. [2]
    National Council on Problem Gambling
    Official source·ncpgambling.org·Accessed Apr 21, 2026

    Responsible-gambling guidance and 1-800-GAMBLER helpline.

For mathematical education only

This tool computes probabilities and expected values. It is not a betting system and cannot predict individual outcomes. If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline at 1-800-GAMBLER (1-800-522-4700).

National Council on Problem Gambling →

Joseph Orduna
Joseph OrdunaFounder & Software Engineer

Full-stack software engineer specializing in embedded systems, web architecture, and AI/ML. Founder of Practical Web Tools. Built the gesture-controlled drone IP acquired by KD Interactive (Aura Drone, sold on Amazon).

Full bioLinkedIn

Payout

15:1

Win $75.00

Win Probability

5.56%

2 of 36

House Edge

11.11%

True: 17:1

Expected Value

$-0.56