What is the fairest way to cut a cake for 6 people?

1. Person A: Cuts the cake in half.

2. Person A: Chooses one of the halves.

3. Starting with Person B: Each person takes turns choosing a piece from the half that Person A did not choose, in order around the table.

4. The person who cut the cake: Gets the last remaining piece.

Alternate method (known as the "marked portions" method):

1. Person A: Cuts the cake into six equal portions, marking or identifying each portion.

2. Person A: Selects a piece randomly.

3. Starting with Person B: Each person takes turns selecting one of the remaining pieces.

4. The person who selected the last piece: Gets the first piece that Person A randomly chose.

Both methods ensure that everyone receives an equal-sized piece of cake, and they both allow for some element of fairness or randomness in the selection process.