Fred and George are to share a chocolate bar made up of an 8 by 6 square rectangular array. The top-left top-right squares each contain a visible nut.
They take it in turns, starting with Fred, to snap the chocolate into 2 pieces along a line between 2 rows or 2 columns, & then eat 1 of the 2 pieces.
Neither Fred nor George wants a nut. Which person can guarantee that they won’t get the nut? Is this true for any size of bar?