Stanley Cup Play-off Odds

Last night, as I was watching the Capitals trash Tampa Bay in the third round of the Stanley Cup play-offs….the announcer mentioned that only twice in the last 41 years (or cases) has a team won the third round of the play-offs after loosing the first two games. Tampa Bay was lost the first two games. So, historically, in only 4.878% (say 5%) of the cases has someone come back from loosing the first two play-off games to win. Note that the Capitals did this against Columbus in the first round.

Now, there are seven games in a play-off round.  So with five games left, Tampa Bay has to win 4 of the 5 games. So, assuming the teams are equal (50% chance of either winning a game), then the odds of Tampa Bay winning 4 of the next 5 games I calculate as .09375 (mathematicians…please check me on this) or 9%. So if the teams are equal, then Tampa Bay should statistically have a 9% chance of coming back and winning the round. Historically, it has only happened 5% of the time.

Suppose Tampa Bay is the better team. Lets say their odds of winning are 60% for each game, then their odds of winning 4 out of 5 rises to 18.144%. They did win 2 out of 3 games against the Capitals in the regular season, so maybe their odds of winning any single game is really 67%. This is a 26.34% chance of coming back. Let us say they are really good and motivated and have a 75% of winning each game, then the odds are  39.55%. On the other hand, to get to the historical 5% win rate in this situation, then team that is behind had to have around a 42% chance of winning each game.

Anyhow…..not sure what it all means.

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Christopher A. Lawrence
Christopher A. Lawrence

Christopher A. Lawrence is a professional historian and military analyst. He is the Executive Director and President of The Dupuy Institute, an organization dedicated to scholarly research and objective analysis of historical data related to armed conflict and the resolution of armed conflict. The Dupuy Institute provides independent, historically-based analyses of lessons learned from modern military experience.

Mr. Lawrence was the program manager for the Ardennes Campaign Simulation Data Base, the Kursk Data Base, the Modern Insurgency Spread Sheets and for a number of other smaller combat data bases. He has participated in casualty estimation studies (including estimates for Bosnia and Iraq) and studies of air campaign modeling, enemy prisoner of war capture rates, medium weight armor, urban warfare, situational awareness, counterinsurgency and other subjects for the U.S. Army, the Defense Department, the Joint Staff and the U.S. Air Force. He has also directed a number of studies related to the military impact of banning antipersonnel mines for the Joint Staff, Los Alamos National Laboratories and the Vietnam Veterans of American Foundation.

His published works include papers and monographs for the Congressional Office of Technology Assessment and the Vietnam Veterans of American Foundation, in addition to over 40 articles written for limited-distribution newsletters and over 60 analytical reports prepared for the Defense Department. He is the author of Kursk: The Battle of Prokhorovka (Aberdeen Books, Sheridan, CO., 2015), America’s Modern Wars: Understanding Iraq, Afghanistan and Vietnam (Casemate Publishers, Philadelphia & Oxford, 2015), War by Numbers: Understanding Conventional Combat (Potomac Books, Lincoln, NE., 2017) and The Battle of Prokhorovka (Stackpole Books, Guilford, CT., 2019)

Mr. Lawrence lives in northern Virginia, near Washington, D.C., with his wife and son.

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