Insufficient mating material

Some endgame positions are drawn simply because there are insufficient pieces left on the board to give checkmate. Here are some examples:

1. King against king is a draw. As they cannot occupy squares adjacent to each other, they cannot even give check.

2. King and bishop against a lone king is always a draw; no mating positions are possible.

3. King and knight against a lone king is always a draw; no mating positions are possible.

4. King and two knights against a lone king is also (amazingly) a draw, but only if the weaker side defends correctly. Checkmates are possible.

5. King and pawn against lone king, a common endgame, is sometiiTi.es a draw. As we have seen, it depends on the relative positions of the kings.

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