SEAMO 2027 - Paper B - SET 03 - Self-study Question 21

Question 21

Alan and Ben take turns moving a bead from A, moving either 1 or 2 steps each turn, only right or down along the grid. The player who places the bead on B wins. Alan moves first. Which statement is true?

1. Alan can guarantee a win by taking 1 step first.
2. Ben can guarantee a win by taking 1 step on his first move.
3. Alan can guarantee a win by taking 2 steps first.
4. Ben can guarantee a win by taking 2 steps on his first move.
5. It is impossible to tell.