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Being a five-piece endgame, the rook and bishop versus rook endgame has been fully analysed using computers. Endgame tablebases show that 40.1% of the legal positions with this material are theoretical wins, but that includes many unnatural positions that are unlikely to occur in games.
A pawn is referred to by the file on which it stands: a rook pawn is on the a- or h-file, a knight pawn is on the b- or g-file, a bishop pawn is on the c- or f-file. A central pawn is a queen pawn or a king pawn, on the d- or e-file. When designating a position as a win or a draw, optimal play by both sides is assumed.
In a king and pawn versus king endgame with a rook pawn, the defending king only has to get in front of the pawn to draw the game. In contrast, in the endgame with a bishop and the wrong rook pawn, getting the defending king in front of the pawn will not necessarily draw. In this position from Edmar Mednis, White wins if it is their move. 1 ...
A rook and a rook pawn always win against the wrong bishop, as in this position. The defender has the wrong bishop if it is the one on the same color as the pawn's promotion square. The winning procedure is to give up the pawn at the right time to get to a winning rook versus bishop endgame. If the bishop was on the other color, the defender ...
The modern consensus is that the side with the two bishops need at least a pawn when facing rook and knight, even then the side with the two bishops is underdog. William Steinitz reckoned that often two bishops and two pawns are superior against rook and knight. A rook and bishop usually work better together than a rook and knight in the endgame.
Rook and a bishop versus two knights: this is usually a win for the rook and bishop but it takes up to 223 moves. [61] The result of this endgame was unknown until computer analysis proved the forced win. Rook and a knight versus two knights: this is usually a draw, but there are some wins for the rook and knight that take up to 243 moves. [83]
The attacking rook can have influence on both colors of squares. Sometimes exchanging the rook for the defender's bishop breaks a fortress. Sometimes the defending bishop can be sacrificed for pawns to result in a rook and bishop versus rook endgame that can be drawn. The most difficult problem encountered by the stronger side is usually in ...
The rook and pawn versus rook is the most common of the "piece and pawn versus piece" endgames. [40] The most difficult case of a rook and pawn versus a rook occurs when the attacking rook is one file over from the pawn and the defending king is cut off on the other side. Siegbert Tarrasch gave the following rules for this case:
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