so let me recap the extra point first position.It is a given that: you will fail the early 2pt conversion, hence the discussion on being down by 9 is worse than down by 8, but no adjunct discussion about how being down by 7 is better than down by 8You will succeed or at least have better odds of converting the late 2 pt attempt, which is why being down by 8 is a one possession game.football players are emotionally fragile, receive no benefit or momentum swing from converting the early 2 pt conversion, but are crushed by failing the attemptThere are so many variables that crudely approximating the percentages is unknowable so why are we having this discussionThe team with the 2 possession lead will play more aggressively than the team with the one possession lead, and that outweighs the knowledge gained by knowing whether you are truly down by one possession or 2. This, despite the fact that we routinely observe teams content to run the clock out, calling run plays, staying inbounds, and hiking with little time left on the clock when they have multiple possession leads.did I summarize that correctly?Ultimately, the improvement in odds of you winning is small. Post 1994, if you are down by 9 at the start of the 4th quarter, your historical chances of winning are 18.75%. Down by 8, 16.0%, and down by 7, 19.4%. one argument might be that the 2 pt conversion decision improves your chances of winning by about 3%, whether you succeed or fail, although that's an extrapolation of the historical data. As humpback kind of noted without showing the numbers, there is the same dip. The big change is that the down by 8 odds of winning prior to 1994 was 13.04%, with no significant changes in the down by 7 and down by 9 win percentages. again, the argument can be that the successful 2 pt conversion improved the odds of those teams winning by 3%. if past history predicted future performance (safe harbor statement, it doesn't, but that doesn't stop anyone from using past history to predict future performance), I would rather have the 19% chance of winning over the 16% chance, but if I didn't go for 2 early, I would rather have the 16% chance of winning over the 13% chance.