Can you hazard a guess? How about outshoot the other team when the score is tied? Here's what happens when you do:
And it helps to go big. Since the lockout, teams had a Fenwick ratio (ie - Corsi w/o blocked shots) of 55% or more when the game was tied won 26 series and lost just 5, which is an 84% winning percentage. The five who beat the odds?
All of these wins required some pretty extreme goaltending, often from unexpected sources. So there are two paths to winning in the playoffs: outshoot your opponents when the game is on the line; or have your goaltender hit a performance peak and have the other team not make its shots. If I was building a team, I know which one I'd design for...