Stephen
Moderator
- Feb 28, 2002
- 83,130
- 62,061
You bring up an interesting point in decision science. Prior vs. posterior belief.
Simple problem: You have a coin. Prior belief is that it is a fair coin and therefore you should have a 50/50 chance of winning independent of any prior result.
Then when you start flipping the coin, you get heads 5 times in a row. Based on the prior belief, the chances of that happening are (1/2)^5, or 3.125%. It is not zero, obviously, but then you really start questioning whether it is actually a fair coin. Maybe you start believing it is actually 60/40 towards heads, simply because it is very unlikely for 5 straight heads to occur with a fair coin. However if you flip the coin 1000 times, and the coin is, in fact, fair, you will see that there will almost certainly be some instance of 5 straight heads (or tails) over those 1000 trials but in the end, it will be approximately equal between heads and tails.
Why does any of this matter in hockey? Right now, it is statistically unlikely that the Leafs should have lost this often based on expectation. Which bares the question: Is our team just not good as expected or are they just really unlucky? The answer right now could be either. Maybe we are just in that stage of 5 straight heads on a fair coin, or maybe the coin is not as fair as we thought.
In reality, we were not as good as expected at the beginning. We had Lou and Babcock, two legends, in charge and a group of young stud talent and we hoped they would take us to the promise land right away like they had done in the past. In reality, there was a lot of pain, those two probably didn't do as good of a job as we would have expected/hoped, and especially in the case of Babcock, there was little hope/trust that things would get better with time or more iterations. Then with Dubas/Keefe, there has been progression in terms of expectations because this team has shown what it is capable of doing. Matthews is a 60 goal scorer. Marner has blossomed into a triple-digit player. We are significantly better defensively. We have a more well-rounded team that has challenged or looked better than many teams that, in terms of results, have been better than us. So those in charge and those making decisions are leaning towards a stretch of bad luck, or just one of those mental hurdles that needs to be climbed and they are confident will be climbed, before the flood gates open and this team can meet or exceed the lofty expectations that they, and Leafs fans, have for them. And that for now, the fact that this is a team that still is put into situations where we should be succeeding, and should be performing well, is about the best they can hope for. It is time for those who truly make the difference, which are the players (and especially the core players who have been given a ton of trust), to finally step up and exceed analytical expectation (although meeting analytical expectation through execution would be a good start and would get us far on its own) to win a Cup.
For me, the problem with the coin flip and probability model is it’s an intellectually shallow concept that’s really of misapplied to winning in the playoffs.
Even if your odds are always 50/50, which is a dubious premise, even if you are unlucky, a player, coach or GM doesn’t have 1,000 cracks at it for those odds to even out over a massive sample. We don’t live in a simulation. There are no repeat chances. Life is not a rehearsal.
It was sad to hear Jason Spezza talk about the regret he had in the game. He had a very long career to win a cup. And I would count him as one of the luckier ones because not a lot of people get 20 years to try and win. It would be important for me to see the organization really embrace what a rare chance it is to truly contend and really stop talking about bad luck, probability and expected success this and that. Something else needs to click in and not this concept of inevitability.