- Short Summary
In classical endgame literature, the endgame Queen vs. Bishop, Bishop and Knight (Q vs. BBN, with the two belonging to the same side and placed on opposite-colored squares) is usually described as “generally won” for the three minor pieces.
Such evaluations were necessarily based on human intuition, practical experience, and limited analysis.
Using complete Nalimov Tablebases (6 men, no pawns), I conducted a systematic and exhaustive investigation of this endgame, covering all legal positions under clearly defined conditions.
The results strongly contradict the traditional assessment.
- Methodology
Material: K+Q vs. K+BBN, no pawns
Tablebases: Nalimov (6-piece)
All legal positions included
Positions classified by:
- side to move,
- whether the queen-side king is in check,
- theoretical outcome (win / draw / loss),
- distance-to-mate where applicable.
No engine evaluations, heuristics, or pruning were used — Tablebases only.
- Main result
With the queen side to move and the queen-side king not in check, over 90% of all legal positions are winning for the queen.
Statistics:
Queen side to move, king not in check:
Win 90.75% · Draw 9.09% · Loss 0.15%.
BBN side to move, king not in check:
Win 39.46% · Draw 39.08% · Loss 21.46%.
Thus, the widespread claim that Q vs. BBN is “generally won” for the three minor pieces is statistically misleading.
- Why this result is non-intuitive
From a human perspective, BBN appears to have:
- control of both color complexes,
- strong mating potential,
- good apparent coordination.
Tablebases reveal a different picture:
- the first accurate queen check often disrupts coordination;
- the knight frequently becomes the weakest link;
- maintaining harmony between three minor pieces over many moves is extremely fragile.
The queen typically wins not by immediate tactics, but by gradual structural degradation.
- Examples
Representative positions — including:
- typical queen wins,
- fast and correct BBN wins,
- extremely long forced mates by the queen (exceeding 100 moves),
- and rare drawing fortresses —
are available in the accompanying Lichess Study:
https://lichess.org/study/04hRExCR/NfRxrMTA
https://lichess.org/study/04hRExCR/xWvpmeod
https://lichess.org/study/04hRExCR/e313lM5Y
https://lichess.org/study/04hRExCR/OopM6qkO
https://lichess.org/study/04hRExCR/RWMjWGr6
https://lichess.org/study/04hRExCR/34s4OdPs
- Verification
In addition to direct Tablebases enumeration, the results were independently verified using Wilhelm (v. 1.50, by Rafael Andrist), which provides direct access to Nalimov Tablebases and allows systematic exploration of long forced lines, zugzwangs, and unstable configurations.
All conclusions presented here are fully consistent between Nalimov Tablebases and Wilhelm-based analysis.
- Conclusion
Q vs. BBN is not “generally won” for the three minor pieces.
Under common and clearly defined conditions, the endgame is strongly biased in favor of the queen.
This case highlights the limitations of heuristic endgame theory and the necessity of exhaustive Tablebases analysis in low-piece endgames.
Author: Musin Bulat.
Date: February 28, 2026.
0. Short Summary
In classical endgame literature, the endgame Queen vs. Bishop, Bishop and Knight (Q vs. BBN, with the two belonging to the same side and placed on opposite-colored squares) is usually described as “generally won” for the three minor pieces.
Such evaluations were necessarily based on human intuition, practical experience, and limited analysis.
Using complete Nalimov Tablebases (6 men, no pawns), I conducted a systematic and exhaustive investigation of this endgame, covering all legal positions under clearly defined conditions.
The results strongly contradict the traditional assessment.
1. Methodology
Material: K+Q vs. K+BBN, no pawns
Tablebases: Nalimov (6-piece)
All legal positions included
Positions classified by:
- side to move,
- whether the queen-side king is in check,
- theoretical outcome (win / draw / loss),
- distance-to-mate where applicable.
No engine evaluations, heuristics, or pruning were used — Tablebases only.
2. Main result
With the queen side to move and the queen-side king not in check, over 90% of all legal positions are winning for the queen.
Statistics:
Queen side to move, king not in check:
Win 90.75% · Draw 9.09% · Loss 0.15%.
BBN side to move, king not in check:
Win 39.46% · Draw 39.08% · Loss 21.46%.
Thus, the widespread claim that Q vs. BBN is “generally won” for the three minor pieces is statistically misleading.
3. Why this result is non-intuitive
From a human perspective, BBN appears to have:
- control of both color complexes,
- strong mating potential,
- good apparent coordination.
Tablebases reveal a different picture:
- the first accurate queen check often disrupts coordination;
- the knight frequently becomes the weakest link;
- maintaining harmony between three minor pieces over many moves is extremely fragile.
The queen typically wins not by immediate tactics, but by gradual structural degradation.
4. Examples
Representative positions — including:
- typical queen wins,
- fast and correct BBN wins,
- extremely long forced mates by the queen (exceeding 100 moves),
- and rare drawing fortresses —
are available in the accompanying Lichess Study:
https://lichess.org/study/04hRExCR/NfRxrMTA
https://lichess.org/study/04hRExCR/xWvpmeod
https://lichess.org/study/04hRExCR/e313lM5Y
https://lichess.org/study/04hRExCR/OopM6qkO
https://lichess.org/study/04hRExCR/RWMjWGr6
https://lichess.org/study/04hRExCR/34s4OdPs
5. Verification
In addition to direct Tablebases enumeration, the results were independently verified using Wilhelm (v. 1.50, by Rafael Andrist), which provides direct access to Nalimov Tablebases and allows systematic exploration of long forced lines, zugzwangs, and unstable configurations.
All conclusions presented here are fully consistent between Nalimov Tablebases and Wilhelm-based analysis.
6. Conclusion
Q vs. BBN is not “generally won” for the three minor pieces.
Under common and clearly defined conditions, the endgame is strongly biased in favor of the queen.
This case highlights the limitations of heuristic endgame theory and the necessity of exhaustive Tablebases analysis in low-piece endgames.
Author: Musin Bulat.
Date: February 28, 2026.