Is Rook and Bishop vs Rook theoretically a draw?
Not sure about in general but that particular position is a draw, though black only has 1 drawing move.
certain positions R+B vs R can be won, if the defending king is trapped up against the edge of the board. And the attacker knows or can find some miraculous moves.
But usually, it is a draw.
Without pawns, absolutely.
Give each side 1 pawn, then often still a draw. But often not. The lines become crazy, in those positions.
Is rook vs bishop theoretically a draw?
Why are you asking this? The Carlsen 960 Flag Position
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Why are you asking this? The Carlsen 960 Flag Position
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Even after all these years, Reuben Fine's Basic Chess Endings is a great resource. Corrections here, corrections there (which I have diligently written in my copy), but still a monumental work. Anyone interested in endgames can profit from it. I commend it.
There is a chapter in Hawkin's "Amateur to IM" which covers everything there is to be known in R+B v R. GM Arkell has fifteen wins so far in the endgame.
This is a theoretical draw, but the side the the bishop and rook had good winning chances in practice because the defense is difficult.