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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.
just under 2 pawns if it is unpaired R vs N, but less if the rook is paired, and a bit less still if the minor piece is an unpaired bishop; one pawn if it is paired R vs paired B; 2B + P = R + N with extra rooks on the board; 2N > R + 2P, especially with an extra pair of rooks; 2B = R + 3P with extra rooks on the board
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.
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 ...
If the pawn is held up before the fifth rank, the rook is better in front of the pawn. Often the rook is best protecting the pawn from the side if it is on the fifth rank or higher. [20] In the ending of a rook and pawn versus a rook, if the defending king is cut off from the pawn's file, then the best defence is with the rook on its first rank ...
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