Rook against bishop is lesson 5 of 6 in Endgame 9: Queen against rook, rook against minor piece, an endgame course suited to players rated around 2200 (advanced players). Rook against bishop is usually a draw: the defending king goes to the corner the bishop does not control. It has 6 interactive exercises: 6 calculated lines from real positions. You play every move on a board and get feedback straight away. The lesson is free.
What you practise
Black to move: hold the draw. (3 positions)
White to move: hold the draw. (3 positions)
Worked examples
Black to move: hold the draw. 1...Bh7+ 2.Ke5 Ke8 3.Ke6 Kd8. Only Bh7+ holds against the rook. This is a draw (checked with endgame tables). After Ke7 the position would be lost.
White to move: hold the draw. 1.Ba7 Rg6+ 2.Kd5 Kb7 3.Bc5. Only Ba7 holds against the rook. This is a draw (checked with endgame tables). After Kd5 the position would be lost.
More in Endgame 9: Queen against rook, rook against minor piece