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White will win virtually every time. First, Black cannot win under any circumstances even if Black manages to capture White's rook. It is impossible for a king and a knight to checkmate a lone enemy king. Thus, for Black, the best it can hope for is a draw in the king and rook situation. White with a king and a rook can checkmate the Black king whether the Black king has a knight or whether it is alone. The White king and rook must corner the Black king to do this, however it is fairly easily done.

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