Opening Move Mastery: The 15 Non-Double Rolls, Splitting, and Early Replies
A rigorous, master-level guide to all 15 non-double opening rolls in backgammon. Discover why 3-1 reigns supreme, how modern neural engines resolved the splitting vs slotting debate, and how to counter opponent openings.
Interactive Position & Tactical Setup
Opening 3-1: Analysis (Pre-Move)
Starting 167-Pip Layout — Candidate Roll [3, 1]
Strategic Insight & Key Lesson
Player 1 has rolled 3-1 from the standard starting layout. In this pre-move analysis position, Player 1 must choose between making the 5-point (8/5, 6/5), splitting a runner (24/23, 13/10 or 24/20), or bringing down two builders (13/10, 13/12). Computer evaluations overwhelmingly confirm making the 5-point as the best play by a wide margin (+0.201 cubeful equity).
Key Strategic Takeaways
- There are exactly 15 possible opening rolls; because players roll for first move, the opening roll can never be a double.
- Making inner points (3-1 for the 5-point, 4-2 for the 4-point, 5-3 for the 3-point, 6-1 for the 7-point) is universally best.
- 6-5 is "Lover’s Leap" (24/13), escaping a back runner directly to safety at the midpoint.
- With non-point-making rolls (like 2-1, 3-2, 4-3, 5-2), modern neural engines strongly favor splitting a back runner combined with a builder down from the midpoint.
- Match score fundamentally alters opening strategy: at Gammon-Go, aggressive slotting gains equity; at Gammon-Save, pure safety dominates.
Why the Opening Move Sets the Entire Match Dynamic
Backgammon begins with each player rolling a single die. The player with the higher number moves first using the two numbers rolled. Ties are re-rolled. Consequently, opening rolls are strictly non-doubles.
With two distinct six-sided dice, there are 6 × 5 / 2 = exactly 15 distinct combinations. Over decades of championship competition and exhaustive computer rollout trials, opening moves have been mapped to mathematical certainty under standard money-play conditions.
The Tier 1 "Point-Making" Rolls: 3-1, 4-2, 5-3, and 6-1
Whenever an opening roll allows you to create a secure 2-checker point without leaving an exposed blot, making the point is almost always the optimal move.
• 3-1 (8/5, 6/5): The Crown Jewel of Openings. Makes the 5-point (Golden Point). It severely restricts opponent entry, controls the key landing square, and adds +0.180 to your opening equity.
• 4-2 (8/4, 6/4): Makes the 4-point in your home board. A formidable offensive anchor that leaves opponent back runners trapped.
• 5-3 (8/3, 6/3): Makes the 3-point. While slightly deeper than the 4-point or 5-point, it establishes a solid home-board foundation without risk.
• 6-1 (13/7, 8/7): Makes the 7-point (Bar-Point). Erects a 3-point blockade (points 8, 7, 6) that blocks direct 6s from the opponent’s 24-point.
The Pure Running Roll: 6-5 (Lover’s Leap)
• 6-5 (24/13): Known affectionately across centuries of backgammon lore as "Lover’s Leap". Rolling 6-5 allows you to move one of your two deepest back checkers from point 24 all the way to the safe midpoint on point 13.
By leaping immediately, you cut your back liabilities from two vulnerable checkers down to one, while simultaneously establishing an early 11-pip advantage in the race count.
The "Splitting and Building" Rolls: 2-1, 3-2, 4-3, 5-2, and 5-4
When your roll cannot make a key point, how should you distribute your checkers? The historic debate was between "Slotting" (placing a single blot on the 5-point to make it next turn) and "Splitting" (moving a back checker from 24 forward to 23, 21, or 20).
Modern Neural Engine Verdict: Splitting a back checker while bringing a builder down from the midpoint (13-point) dominates in long-term equity:
• 2-1: 24/23, 13/11. (Splits to 23 and brings a builder to 11 to threaten the 5-point and 7-point next roll).
• 3-2: 24/21, 13/11. (Splits to the valuable 21-point anchor territory while bringing a builder to 11).
• 4-3: 24/20, 13/10. (Splits directly to the Golden 20-point while advancing a strong builder to 10). Alternative: 24/21, 13/9.
• 5-2: 24/22, 13/8. (Advances runner to 22; brings the 5 to the solid 8-point). Alternative: 13/8, 13/11.
• 5-4: 24/20, 13/8. (Splits to the 20-point and strengthens the 8-point).
The "Awkward" High Rolls: 6-2, 6-3, and 6-4
Rolls containing a 6 that cannot make the bar-point or leap to 13 present distinct tactical questions:
• 6-2 (24/18, 13/11): Moves a runner to the opponent’s bar-point (point 18) while bringing a builder down to 11. While the blot on 18 is exposed to direct 6s, if the opponent misses, you possess a massive jump next turn.
• 6-3 (24/18, 13/10): Moves runner to 18 and drops a builder to 10. (Alternative: running out to 15 via 24/15).
• 6-4: Historically players made the deep 2-point (8/2, 6/2). Modern AI has proven that making the 2-point on move 1 places checkers too deep too early. The optimal modern play is 24/14 (running to outer board) or 24/18, 13/9.
| Roll | Primary Play | Alternative Play | Strategic Category |
|---|---|---|---|
| 3-1 | 8/5, 6/5 | None (uncontested) | Make Golden 5-Point |
| 4-2 | 8/4, 6/4 | None (uncontested) | Make 4-Point |
| 5-3 | 8/3, 6/3 | None (uncontested) | Make 3-Point |
| 6-1 | 13/7, 8/7 | None (uncontested) | Make 7-Point (Bar) |
| 6-5 | 24/13 | None (Lover’s Leap) | Run Back Checker |
| 2-1 | 24/23, 13/11 | 13/11, 6/5 (Slot) | Split & Builder Down |
| 3-2 | 24/21, 13/11 | 13/10, 13/11 (Builders) | Split to 21 & Builder |
| 4-1 | 24/20, 13/12 | 13/9, 24/23 | Split to 20 & Builder |
| 4-3 | 24/20, 13/10 | 24/21, 13/9 | Split to 20 & Builder |
| 5-2 | 24/22, 13/8 | 13/8, 13/11 | Split & Consolidate 8 |
| 5-4 | 24/20, 13/8 | 24/15 (Run) | Split to 20 & Consolidate |
| 6-2 | 24/18, 13/11 | 24/16 (Run) | Advance to Bar & Builder |
| 6-3 | 24/18, 13/10 | 24/15 (Run) | Advance to Bar & Builder |
| 6-4 | 24/14 (Run) | 24/18, 13/9 (Split) | Escape Runner to 14 |
| 5-1 | 24/23, 13/8 | 13/8, 6/5 (Slot) | Split & Consolidate 8 |
How Match Score Alters Opening Strategy
The recommendations above assume money play or balanced match play. However, match equity dynamics can drastically reshape optimal moves:
• At Gammon-Go (where winning a gammon wins the match, but losing a gammon costs nothing extra): Opening rolls like 2-1 and 5-1 should actively SLOT the 5-point (e.g. 13/11, 6/5 or 13/8, 6/5). The extra gammon equity easily offsets the risk of being hit.
• At Gammon-Save (where losing a gammon loses the match): Slotting is strictly suicidal. Players should adopt conservative splitting or consolidation plays (such as 8/2, 6/2 with 6-4) to minimize early gammon exposure.
Tactical Check: Test Your Comprehension
Select candidate plays and verify your tactical reasoning against engine rollout analysis.
