Team X goes to 6 Conference Championship Games (CCGs) over 15 years. Knowing only this, and assuming that, on average, the team will be a fairly typical CCG participant (i.e., that it will sometimes be better than its competition, sometimes worse, and sometimes about the same [for ease of calculation, we’ll assume that, as one of four remaining teams, the Team X has a 25% chance to win the Super Bowl every time it gets to a CCG, even though it will sometimes be higher and sometimes lower]), how likely is it that the team will win 1, 2, 3, 4, 5, or 6 Super Bowls?
If you run the numbers, this is what you get:
**0: **17.8%
**1: **35.6%
**2: **29.7%
**3: **13.2%
**4: **3.3%
**5: **0.4%
**6: **0.02%
You can take the weighted mean of these probabilities to see that the average number of Super Bowls won is 1.5 (Of course, the easier way to do it is 6*.25 = 1.5, but I wanted to create the table above.)
As you’ll notice, Cowher’s achievement (1 Super Bowl win out of 6 CCGs) is the single most likely outcome. Perhaps more importantly, a team in that position will win 1 or fewer Super Bowls most of the time. Therefore, Bill Cowher’s Steelers did not significantly underperform at the end of the playoffs.
The only way around this is to argue that the Steelers typically had a better than average chance to win the Super Bowl when they got to a CCG. So let’s look at it.
In '94, were they better than the Chargers team they lost to? Maybe a little, maybe about the same. Were they better than the 49ers team that they would have had to face in the Super Bowl? Not even close.
In '95, were they better than the Colts team they beat? Absolutely. Were they better than the Cowboys team they lost to? Absolutely not.
In '97, were they better than the Denver team they lost to? No. Were they better than the Green Bay team from the NFC? No.
In '01, were they better than the Patriots team they lost to? Yeah, probably. Were they better than the Rams team they would have faced in the Super Bowl? No.
In '04, were they better than the Patriots team they lost to? Probably not. Were they better than the Eagles team from the NFC? Probably.
In '05, were they better than the Broncos team they beat? Maybe, it’s close. Were they better than Seattle? Maybe, it’s close.
Now, they were at home for 5 of the 6 CCGs, which does count for something, but I only see two years there when they were even *arguably *the best team in football, and those aren’t close to being gimmes. I think that getting 1 Super Bowl win out of the above scenario is entirely respectable.