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?

Why are you asking this? The Carlsen 960 Flag Position?

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.