Quote:
Originally Posted by jchauvin
Wait, why wouldn't it be the opposite? If your opponent is bad at 2pcs, then go for 1 and make them 2pc to tie. If they are very good at 2pcs, then the value of being up 8 instead of 7 is small and you should go for 2 to make it a 2 posession game. For example a team that is 100% on 2pcs, obv up 7 you'd go for two since essentially being up 8=being up7 (late game anyway)
He misspoke slightly. It's actually whether the probability of you making the 2pc is greater than the opponent's probability of MISSING the 2pc. So if the other team is 0% to miss the 2pc then you obv go for 2 to get up by 9.
Math: let's say your probability of making the 2pc is x, and the opponent's is y. To simplify, consider only the cases where the other team will score 1 more TD in the game (if this doesn't happen then we win in either scenario), and if they tie it up then we are 50/50 in overtime
Option 1: you go for 2. Now you win with probability x+.5(1-x) = .5 + .5x (you win automatically if you make the 2pc, and then you are .5 to win it when you miss the 2pc)
Option 2: you go for 1. The other team will then go for 2, so you will win with probability (1-y) + .5y = 1 - .5y (you win automatically if they miss the 2pc, and if they make it you are .5 to win in overtime)
So we take Option 1 if 1-.5y < .5 + .5x
ie .5 -.5y < .5x
ie 1-y < x
So we compare our probability of making it to the opponent's probability of missing it
The above assumes that the other coach will always play for overtime when down 7 by kicking the PAT. If in that spot the other coach goes for 2 and the win (which he should do if his chance of getting the 2pc is > the chance of winning in overtime i.e. y > .5) then you should go for 2 if your conversion chance is > the chance of winning in overtime (x > .5). You can do similar math to show this one, or you can just think of it as a decision between overtime and a 2pc. No matter what you win if they miss their 2 - but in the cases where they make their 2 then Option 1 (going for 2 yourself) wins with probability x, whereas Option 2 (kicking the PAT) wins with probability .5 since you go to overtime.
Last edited by ballin4life; 02-10-2013 at 07:58 AM.