Wrong bishop

The wrong bishop is a situation in a chess endgame in which a bishop on the other color of square of the chessboard would either win a game instead of draw or salvage a draw from an inferior position ; in other words, a bishop is unable to guard squares of the other color. This most commonly occurs with a bishop and one of its rook pawns, but it also occurs with a rook versus a bishop, a rook and one rook pawn versus a bishop, and possibly with a rook and one bishop pawn versus a bishop.
Rook versus bishop.
White wins in this position. The defender has the wrong bishop if it is on the same color as the corner where his king is confined. Black's bishop is on the wrong color of square for it to form a fortress in the corner (i.e. with the black king on the h8-square and the bishop on the g8- or h7-square). White wins:
Rook pawn.
There are some situations involving a rook pawn and the wrong bishop.
Bishop and rook pawn.
In an endgame with a bishop and a rook pawn, the wrong bishop is one that does not control the promotion square of the pawn. This position is a draw with either side to move. Black simply keeps his king on the a8-, a7-, or b8-squares (or b7 if the pawn advances) to keep the pawn from promoting. A draw because of stalemate is also possible. If the bishop were on the other color it could force the black king out of the corner and the pawn could promote and win . 
Rook and rook pawn versus bishop.
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 may be able to form a fortress in the corner, as mentioned above .
Rook and bishop pawn versus bishop.
With a rook and a bishop pawn on the sixth rank versus a bishop, the bishop may be on the right color or the wrong color. In one case the rook and pawn win; in the other the bishop is able to draw. In this position Black is able to draw because his bishop is on the right color:
and there is no way for White to make progress . This type of position was studied by Ercole del Rio around 1750 , . This case is similar to the case with a rook pawn (above), which also may be a draw.
Examples from games.
In this 1952 game between László Szabó and World Champion Mikhail Botvinnik, Black was defending two pawns down – a position that would normally be a win for White. Botvinnik saw an opportunity to exchange his rook for a knight and two pawns and reach a drawn position (even without his pawn). The game continued:
and reached the second position, which had been analyzed as a draw.
White was not able to make any progress. He promoted his pawn on move 76 and it was immediately captured by Black, resulting in a rook versus bishop endgame (see pawnless chess endings#Common pawnless endings (rook and minor pieces)) that was drawn two moves later .
In this game between Igor Miladinović and Alexander Beliavsky, Black could have won by 99... Rxf3+, but instead played 99... gxf3?, reaching the theoretically-drawn position. 
The game was drawn on move 127 .
Rook and pawn versus bishop and pawn.
In this type of position when the pawns are facing each other and blocked, the result often depends on which color the bishop is on. If the bishop is on the same color as its pawn, the rook almost always wins. If the bishop is on the color of the opposing pawn it has good drawing chances .
References.
Bibliography