Ignoratio Elenchi said:
VaTerp said:
The thread lives on because people continue to hold onto to erroneous beliefs about, and misrepresent, the possession argument.
Please show what you believe to be a proper representation of the possession argument. Because so far IIRC, every point you've made referencing the number of possessions has been incorrect.
I was hoping to hear back on this, but perhaps I can proactively answer your response, based on your earlier posts in the thread. There isn't anything new here, but maybe if it's worded a little differently it will make more sense for those who are hung up on it.The problem, as has been pointed out many times already, is that people think of an 8-point deficit as a "one possession game". It isn't.
Let's say you have a 40% chance of succeeding on the 2-pt conversion (it doesn't matter what the number is, so feel free to replace 40 with anything else). Also assume, for the sake of simplicity, that you have a 100% chance of successfully kicking a PAT. To use your terms:
[*]If you decide to go for 2 on the first TD, there's a 40% CHANCE, that, AT THAT POINT IN TIME, you can tie the game with one more possession, and a 60% CHANCE that you will need 2+ possessions.
[*]If you decide to go for the PAT on the first TD, there's a 40% CHANCE that, AT THAT POINT IN TIME, you can tie the game with one more possession, and a 60% CHANCE that you will need 2+ possessions.
The CHANCE of needing just one more possession to tie the game, AT THAT POINT IN TIME, is exactly the same either way. Delaying the "reveal" doesn't change the CHANCE in any way that, AT THAT POINT IN TIME, you're actually in a "one possession game," it just means you have to wait longer to find out.
That's the part that's being misunderstood. The CHANCE that you have a "one possession game" on your hands, AT THAT POINT IN TIME, is exactly the same whether you go for 2 first or kick the PAT first (even though you don't realize it). The only thing that changes is
when you find out whether or not the CHANCE works out in your favor. You can either find out now, or you can find out later. That is the only question here.
That's the question we're supposed to be debating. Deferring the 2-pt conversion attempt to the second TD does not in any way affect the probability that you will be able to tie the game with your next possession.
That seems a little counterintuitive, right? Clearly if you go for two on the first TD, you could miss (oh no!), and therefore the probability that you will be able to tie the game with another TD is negatively affected. In fact, if you miss, you have NO chance of tying the game with another TD! That's certainly bad! But that's only half the equation (that's the negative half that the risk-avoiding PAT-first crowd is overweighting). If you go for two, you could also make it (wha?!!) - and then you DEFINITELY tie the game with another TD (still using the 100% PAT assumption from above - it doesn't matter that PAT conversion rates are actually less than 100% because the argument is unchanged). On the other hand, if you kick the PAT first, then you will definitely have a 40% CHANCE to tie the game with another TD, but you don't get any points for definitely having a chance. You either DO tie the game, or you DON'T. You have to take that 40% CHANCE at some point, and from a probability standpoint it doesn't matter when (multiplication is commutative).
Now, from a strategic standpoint, it DOES matter when you take that chance. Many of us throughout this thread have explained why we believe it's pretty obvious that it benefits the trailing team to take that chance sooner rather than later, but if you disagree with that part feel free to provide a counterargument.