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duffer 71 ( +1 | -1 )
End game question I have an endgame question, I don't expect anyone to work this out for me, but perhaps its part of chess doctrine somewhere and someone knows the answer off the top of their head. I was in an endgame where I had knight and rook, my opponent had bishop, rook and pawn. I got a fork on his bishop and pawn (both protected) and took the pawn, figuring it would be hard to get an attack going against a rook with just rook-bishop. My opponent blundered and we drew, but the question is should I have taken the pawn or the bishop, or neither perhaps? I did set the board up after the game and push the pieces around, I couldn't really force the issue with the bishop-rook combo, but I'm not so good in the endgames either.
caldazar 111 ( +1 | -1 )
Of course it all depends on the position, but statistically, both options lead to a high probability of a draw.

In Rook+pawn vs Rook endgames, if the inferior side can get his king on to the pawn file in front of the pawn, it's usually a draw (Philidor's position).

In Rook+Bishop vs Rook endgames, the inferior side can usually draw by keeping his king and rook close together so as to avoid skewers and pins that would lose the rook. Keeping the rook off the squares of the same color that the superior side's bishop controlls helps (to cut down on possible bishop pins and skewers). In this endgame, the inferior side also has an additional resource in that he can play for the exchange of rooks.

As a practical matter, if I saw that my king could get in the path of the pawn easily, I'd play into the Rook+Pawn vs Rook endgame rather than the Rook+Bishop vs Rook one simply because there's a smaller chance of blundering and losing to a tactical shot in the former endgame.

By the way, all Rook+Pawn vs Rook endgames and Rook+Bishop vs Rook endgames are solved.
atrifix 68 ( +1 | -1 )
Rook endings KRB vs. KR is almost always theoretically a draw, but among weaker players, if the 'stronger' side is prepared, then there are excellent practical chances to win. It is possible that insufficient losing chances can be claimed in this position--although most arbiters will probably reject this claim.

KRP vs. KR, on the other hand, can be either a win or a draw. However, if the position is drawn, then the stronger side has no practical chances and the game is drawn without much play. The weaker side can draw easily if he can reach the Philidor position, whereas the stronger side can win easily if he can reach the Lucena position.

So, this is a purely subjective decision, dependent on the position :)
duffer 3 ( +1 | -1 )
Endgames Thanks Caldazar and Atrifix.
triangulator 4 ( +1 | -1 )
yah K+R+B vs K+R = a draw unless 1 side blunders