Quant Interview Question #quant

Consider a 1-m long gold bar and three players. Player one marks a point on the gold bar. Then player two sees player one's mark and marks another point on the gold bar. Finally, player three marks a point randomly. The gold bar is then divided such that each point belongs to the player whose mark is closest to it. For example, in this case, this part belongs to the first player, this part belongs to the second player, and this part belongs to the third player. Everyone knows all the rules before the game starts. Player one and player two play optimally, while player three marks their point randomly. So, where should player one mark their point to maximize their expected amount of gold? Post your answers in comments.