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how do you check mate with knight and bishop?

You must gradually force the opponent's king to the corner square which has the same color of the bishop. Take note of the 50 move draw rule. You can practice against the computer
In reality, K vs K + BN happens once or none in a lifetime.
@ryan121 said in #3:
> [...] In reality, K vs K + BN happens once or none in a lifetime.

It is certainly very rare.
However, amazingly, I have had it twice (naturally occurring!) here on Lichess in only just over 900 games. That is a bit freakish though, I agree.

Both times in my games the stronger side won. Once I was on the winning side, once the losing side. So I, for one, am very glad I have studied that endgame in the past, and no doubt my opponent in the game I lost felt the same.

@DAN-DA-MAN The basic technique is to force the defending king into a corner. To force mate, it needs to be one of the two corners which the bishop controls. You need good co-operation between bishop, knight and king to control all relevant squares and force the king to the corner/edge. The defender should go to the "wrong" corner not controlled by the bishop (you can't prevent that), and then you need to use one of two standard manoeuvres (learn just one of them!) to force the king along the edge to the other corner and finally give checkmate. Within the 50-move rule!

It's very hard, and absolutely impossible if you haven't learned the technique. That is illustrated by the fact that Anna Ushenina, Women's World Champion at the time, once failed to win this endgame when she had it in a tournament game at normal time controls!
It isn't worth the energy studying it just to save half a point 7 years later...
And in that time you will probably totally forget it anyway without practise...
It is extremely rare and I suggest putting your energies to other uses (unless you are a superGM and play for thousands of dollars)
@ChessMan1969 said in #7:
> It isn't worth the energy studying it just to save half a point 7 years later...
Right. But if you study (and remember) how to give checkmate with bishop and knight, you get experience how these pieces work together in harmony, and that is useful for quite some middlegame positions.
And you should also consider all the endgames when you - knowing you can't give checkmate otherwise - artificially avoided an endgame KNBvsK and made winning unnecesarily complicated (for example you save a pawn rather to trade it against opponent's last piece).
They work in harmony for single goal of building and moving a blockade for the opponents king. Hardly translates to something in the middle game. better to study middle games with bishops and knights.
Knowing checkmating nets has helped me with knight bishop ending. BB is more common and id start with that first. NB is very tricky.

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