Question

On a round table top with a diameter of 100 cm, they each place a underpad in turn. The underpads are made of rigid plastic and come in two colors. Arthur plays with red and Olivia plays with black. The underpads have a diameter of 6 cm.

When placing underpads, they may touch each other, but they must not overlap. The underpads may also come over the edge of the table, as long as they don't fall off! There is an unlimited amount of underpads available to them. The aim of the game is to be able to place the last underpad.
Is it possible to devise a tactic to always win the game? Write out the method + statement.

Answer 1

It is possible to devise a tactic to always win the game.

Explanation:

The method of doing so could be placing your under pads around the edges first of the round table. Your opponent might follow suit but if they do then you will win! As long as you get to place your first underpad on the edge of the table you will gain the advantage. After the edges if the round table have been used up, you begin the process against the ones before. Here is a rough sketch to help you out. Hope i helped!!!

(Sketch not drawn to scale)