Calculate odds, payouts, and expected value for hop bets on specific dice combinations. Compare easy and hard hop payouts.
House Edge = (True Odds - Actual Payout) / (True Odds + 1)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
| Combination | Type | Ways | Prob | Payout | Edge |
|---|---|---|---|---|---|
| Hop 1-2 (3) | Easy | 2 | 5.56% | 15:1 | 11.11% |
| Hop 1-3 (4) | Easy | 2 | 5.56% | 15:1 | 11.11% |
| Hop 1-4 (5) | Easy | 2 | 5.56% | 15:1 | 11.11% |
| Hop 1-5 (6) | Easy | 2 | 5.56% | 15:1 | 11.11% |
| Hop 1-6 (7) | Easy | 2 | 5.56% | 15:1 | 11.11% |
| Hop 2-3 (5) | Easy | 2 | 5.56% | 15:1 | 11.11% |
| Hop 2-4 (6) | Easy | 2 | 5.56% | 15:1 | 11.11% |
| Hop 2-5 (7) | Easy | 2 | 5.56% | 15:1 | 11.11% |
| Hop 2-6 (8) | Easy | 2 | 5.56% | 15:1 | 11.11% |
| Hop 3-4 (7) | Easy | 2 | 5.56% | 15:1 | 11.11% |
| Hop 3-5 (8) | Easy | 2 | 5.56% | 15:1 | 11.11% |
| Hop 3-6 (9) | Easy | 2 | 5.56% | 15:1 | 11.11% |
| Hop 4-5 (9) | Easy | 2 | 5.56% | 15:1 | 11.11% |
| Hop 4-6 (10) | Easy | 2 | 5.56% | 15:1 | 11.11% |
| Hop 5-6 (11) | Easy | 2 | 5.56% | 15:1 | 11.11% |
| Hop 1-1 (Aces) | Hard | 1 | 2.78% | 30:1 | 13.89% |
| Hop 2-2 (Hard 4) | Hard | 1 | 2.78% | 30:1 | 13.89% |
| Hop 3-3 (Hard 6) | Hard | 1 | 2.78% | 30:1 | 13.89% |
| Hop 4-4 (Hard 8) | Hard | 1 | 2.78% | 30:1 | 13.89% |
| Hop 5-5 (Hard 10) | Hard | 1 | 2.78% | 30:1 | 13.89% |
| Hop 6-6 (Boxcars) | Hard | 1 | 2.78% | 30:1 | 13.89% |
A popular hop bet strategy is "hopping all the 7s" - betting $1 on each 7 combination:
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.
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.
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).
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.
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.
Quick-start with common scenarios
Payout
15:1
Win $75.00
Win Probability
5.56%
2 of 36
House Edge
11.11%
True: 17:1
Expected Value
$-0.56