Pulling the Goalie in Hockey

The assistant coach of the Toronto Maple Leafs, had just seen the team lose. In order to increase their chance of scoring, they had added a sixth offensive skater to the ice by sending their goaltender to the bench (known as “pulling the goalie”) in the last 60 seconds of the game. Doing this did not give the team an advantage, in fact, a member of the opposite team was able to shoot the puck into the unguarded net, which cost the Leafs the game. The assistant coach had questioned whether the practice of pulling the goalie was a good one. He had also heard that models had been used to investigate strategies in sports. He wondered if mathematical modeling could be used to determine if pulling the goalie was a good strategy.