Most positions are a draw in this endgame. There are two exceptions: when the knight is separated from his king, and when the defending king is at the edge of the board and subject to mating threats. In these cases, the stronger side can with particular play capturing the knight
R VS N

ok, thanks a lot, I played an OTB game yesterday in this position, and offered a draw, the kings were in the center and the knight kept checking me He accepted the draw, which was lucky as I had 10secs left on the clock!!!!
There are far more wins with R vs N than with R vs B.
I've seen numerous types of R vs N positions that are won for White (say)... Black really has to be very careful.
If R vs N, it's draw if you play carefully when you have a N. If R vs B, it still a draw if you R is pinned.

If R vs N, it's draw if you play carefully when you have a N. If R vs B, it still a draw if you R is pinned.
R vs B is a draw even without a pin -- just be sure if your king is forced to the edge of the board to head for the corner whose color is opposite of your bishop in which you'll have a stalemate threat.

R vs B is a draw even without a pin -- just be sure if your king is forced to the edge of the board to head for the corner whose color is opposite of your bishop in which you'll have a stalemate threat.
But, can the King ALWAYS find his way to the correct corner? I think in this sort of position White has a very difficult task. For me, N vs R is generally more comfortable.

Can the knight ALWAYS say close to the king and avoid capture?

Odd that he accepted a draw. If he didn't you should've just sacked your rook and hoped he took it!
You're right! You can keep checking until he takes your rook.
Can the knight ALWAYS say close to the king and avoid capture?
Indeed, orangehonda. There are several instances when the king and knight are adjacent and the rook can still force the win.
Basically R v B is a draw except for a few notable exceptions, R v N is a draw except for numerous, different, and varied instances.

R vs B is a draw even without a pin -- just be sure if your king is forced to the edge of the board to head for the corner whose color is opposite of your bishop in which you'll have a stalemate threat.
But, can the King ALWAYS find his way to the correct corner? I think in this sort of position White has a very difficult task. For me, N vs R is generally more comfortable.
I don't see how black can win here.
Is Rook VS Knight in the nedgame drawn, or won for the rook?