Why 24/21 13/11
24/21 13/11 does two jobs at once: a back checker steps up to the opponent’s 4-point (your 21-point), where it can start an advanced anchor, and a builder lands on your 11-point, aimed at the 5-point and the bar point.
The top five plays, rolled out
| # | Play | Equity | Behind the best | Wins | Gammons won · lost | 3-ply (rank) |
|---|---|---|---|---|---|---|
| 1 | 24/21 13/11 | +0.024 ±0.015 | — | 50.3% | 14.4% · 14.0% | +0.009 (#1) |
| 2 | 24/22 13/10 | −0.008 ±0.013 | 0.033 | 49.8% | 14.4% · 14.2% | −0.002 (#3) |
| 3 | 13/11 13/10 | −0.029 ±0.014 | 0.053 | 49.3% | 15.9% · 15.0% | +0.002 (#2) |
| 4 | 24/22 24/21 | −0.032 ±0.012 | 0.056 | 49.2% | 13.1% · 13.8% | −0.027 (#4) |
| 5 | 13/8 | −0.036 ±0.015 | 0.061 | 49.1% | 14.0% · 14.8% | −0.033 (#5) |
Equity is the average result in points per game for the player on roll, with the cube in play: each play rolled out 1,296 times, ± one standard error. Gammons include backgammons.
The alternatives
24/22 13/10 is the same idea with the numbers swapped and finishes 0.033 behind. Bringing two builders down with 13/11 13/10, long the standard play, is 0.053 behind in the rollouts, though the 3-ply evaluation rates it almost level.
All 17 legal plays, ranked at 3-ply
- 24/21 13/11 +0.009
- 13/11 13/10 +0.002
- 24/22 13/10 −0.002
- 24/22 24/21 −0.027
- 13/8 −0.033
- 13/11 8/5 −0.046
- 13/10 6/4 −0.047
- 24/21 6/4 −0.075
- 24/21 8/6 −0.084
- 13/11 6/3 −0.089
- 24/22 8/5 −0.104
- 13/10 8/6 −0.111
- 24/22 6/3 −0.116
- 8/5 6/4 −0.149
- 8/3 −0.175
- 6/4 6/3 −0.199
- 8/6 8/5 −0.270
Questions about the 3-2 opening
What is the best opening move for 3-2 in backgammon?
24/21 13/11 (split and build). In GNU Backgammon rollouts of the top five plays it scores +0.024, 0.033 ahead of the next play, 24/22 13/10.
Is 24/22 13/10 a mistake with an opening 3-2?
A small one. It gives up 0.033 points per game on average compared with 24/21 13/11.
How was this 3-2 analysis made?
GNU Backgammon 1.07.001 ranked all 17 legal plays at 3-ply, then rolled out the best five, 1,296 games each, with the cube in play (money game, Jacoby off). GNU Backgammon 1.06.002, the version Boardgammon’s servers run, ranks the same five plays in the same order at 3-ply.
How these numbers were made
GNU Backgammon 1.07.001 ranked every legal play at 3-ply with the cube in play (money game, Jacoby off, no beavers), then rolled out the best five: 1,296 games each, with variance reduction and quasi-random dice. GNU Backgammon 1.06.002, the version Boardgammon’s servers run, ranks the same five plays in the same order at 3-ply. Evaluated on 2026-10-20. The same engine analyses every finished online game on Boardgammon: see how that compares. New to the numbers? Read what equity and a rollout are.
Terms on this page: Builder, Advanced anchor, Anchor, Diversification. Next in the strategy guides: cube theory.