Solution to I2
Puzzle I2: White to win
- Note that Black will only be able to move his
Queen, King, and Rooks. Note also that these pieces can
never leave the five squares g8, h8, h7, h6, h5
(as long as White doesn't do something dumb to let them out!).
- On White Bishop rolls, he should just move his Black (blue) squared
Bishop back and forth out of the way. Same thing on King rolls.
He passes on pawn, rook and queen rolls.
- On White Knight rolls, White should maneuvre his Knight to f7
via a safe path.
- White will just move his Knight back and forth between f7 and e5
(or d8 would also work).
- Eventually, with probability 1, the Black King will be on h6 at the same
time that the White Knight is one f7. This will happen infinitely often so
that with probability 1, White will roll a Knight in this situation,
capturing the Black King.