Both are draws in random positions but there are many exceptions. Notably the KN ending can be lost when the knight is cut off from its master.
Amongst the 4 piece endings I personally consider KQ versus KR as the trickiest. Lots of zugzwangs and stalemate traps plus a hard to find corner mate.
As Arisktotle said, the general result in both cases is a draw. Just for fun, here are a couple of "longest win" positions you could play around with.
White to play and mate in 29
White to play and mate in 37
@n9531l: I do these types of endgames on chesstempo.com and they are so hard to solve! Especially when the fastest solutions are required as in its theory section. Kind of a mix between direct mates and normal endgame wins. A really nice challenge though!
I have consulted experts on this topic. They say that the KR vs KB is a win and the other one is a draw. But some players think the opposite. Also, the KQ vs KBB ending is a draw most probably but that is not the case with KNN. I am confused.
I have consulted experts on this topic. They say that the KR vs KB is a win and the other one is a draw. But some players think the opposite. Also, the KQ vs KBB ending is a draw most probably but that is not the case with KNN. I am confused.
I suggest you either round up a new set of experts, or refer to the "Table of Computer Database Results for Pawnless Endings" in the appendix of Fundamental Chess Endings by Muller and Lamprecht.
I have consulted experts on this topic. .....
This subject is beyond opinion and beyond expertise. It is now in the realm of definitive knowledge and will not change ever! All you need to do is locate the appropriate engine-tested information as suggested by n9531l.
KR vs KB you can't make the blanket statement about whether it is won or drawn.
It depends highly on specifics, including:
1) When such an ending is first reached, are the King and Bishop diverted from one another, or close together. The former can often lead to forks.
2) Assuming they are closer together, take the location of White's Rook, and draw horizontal and vertical lines, creating 4 "Quadrants". What color is the corner square of the quadrant the opposing King is in? If it is in a quadrant where the corner square is opposite in color to that of his Bishop, and he is able to reach the corner, it's a draw.
3) If the King is in a quadrant where the corner square is the same color as that in which his Bishop is on, then the player with the Rook has winning chances. The closer his King is to the Rook, the better the odds. The player with the Rook must prevent the side with the Bishop to use the Bishop to build a shield and get his King into the correct corner (the corner opposite that of his Bishop).
If the player with the Rook can get his King by the Rook quick enough, and if he can contain the opposing King in the correct corner (the corner that is the same color as that of the Bishop), the player with the Rook wins. Otherwise it's a draw.
The most difficult endgames are KR versus KB and KR versus KN. The former can be won, but the latter is a draw. Do you agree with me? Pl correct me if I am wrong. I am looking for someone who will enlighten me about these endgames.