A shot on goal is any shot that enters the net or any shot that would normally have entered the net if not stopped by the goalie. Shots that deflect off the posts or crossbar and stay out of the net are not counted as shots on goal. The number of shots and whether a shot puck counts as a shot is determined by a statistician employed by the NHL who is stationed at the rink.
Yes, a goal counts as a shot on net. However it obviously does not count as a save for the goalie.
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