Yes The King and Queen will easily beat the King and Knight.
The committed move of the Knight makes it easy for the Queen to pick off.
With White King on e1 and Queen on d1 and Black King on e8 and the Knight on g8
You will either win the Knight or checkmate the king in 16-17 moves.
King and Queen v King & 2 Knights is also a win in the majority of the cases.
Exceptions are positions akin to this one.
The White King cannot get out to help the Queen.
The Queen needs her King to give mate.
(try mating a lone King with a lone Queen on an empty board if you don't believe me).
there is more.....
....more.
The fun really starts when you have King, Queen & Knight v King and Queen.
(usually a draw but don't relax if defending this situation).
There have been many beautiful studies involving this theme.
Here is a good one. It was composed by Joseph in 1978
1. Qg2+ Qb7 2. Qg8+ Ka7 3. Qg1+ Ka8 4. Qa1+ Qa7 5. Qh1+ Qb7
6. Qh8+ Ka7 7.Qa1+ Qa6 8. Qg1+ Ka8 9. Qg8+ wins.
(either mate or Black walks into a Knight Fork)
Originally posted by greenpawn34But your last statement isn't convincing since the lone queen can force the lone king into a corner, which in this hypothetical situation would be analogous to stalemate. But in the real specific position with the two knights, this may mean one of the knights has to move, therefore breaking their mutual defending of each other, plus letting the White king out.
The White King cannot get out to help the Queen.
The Queen needs her King to give mate.
(try mating a lone King with a lone Queen on an empty board if you don't believe me)