The math behind going for 2 when down by 14 late in game and scoring a TD.

Moogy

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He's obviously talking about it happening when the dealer had a 7+ showing.
Holy crap, I totally misread that article ... I blame it on the bad cold I'm battling, or the sun was in my eyes, or something ... yeah, it says "dealer's face card," not a 3 ... wow. My bad.
 

Midnighter

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A lot of people freaked out a few years ago when Doug Pederson started doing this. Now, it's becoming more common as coaches accept it (TB did it on Saturday), but I still see folks protesting. I heard a good explanation of the math today that hopefully makes more sense.

First, it's only valid if your team is able to get a 2nd TD without the other team scoring, so that is the assumed scenario. Also, for simplification purposes, assume that an XP is 100% probability and 2Pt conv is 50% (both are slightly less but that isn't too critical). Also must assume that winning in OT is close to 50%, so this may not be applicable if your team is a heavy favorite.

Option 1: Kick the 2 XPs, go to OT. Probably of winning = 50%

Option 2: Go for 2 on the first TD. There is a 50% chance that you win the game right then and there (remember, we assumed that you will score again and kick an XP).
If you miss it, you still have a 50% chance to make the 2Pt conv on the second TD and then a 50% chance to win in OT. The probably of this scenario playing out is 50% (that you miss the 1st 2pt conv) X 50% (that you make the 2nd 2pt conv) X 50% (that you win in OT) = 12.5%.

Going for 2pt conversion leading to a total probability of winning the game = 50% (make the 1st 2pt conv) + 12.5% (miss 1st 2pt conv, but make 2nd and win in OT) = 62.5%

Seems like a hell of a lot of assumptions to make this a ‘no brainer’ precisely because of the things a scenario or formula can’t quantify, and those are momentum swings and psychological impact of failing.

How do you guarantee the other team won’t score? You have to assume in a game you are losing by two TD’s that at a minimum, the other team has shown it can score. And if it’s late? You basically do what you can to win; I’d like to see some numbers/probability on going for two after scoring your first TD in an away game where you’re favored by a single digit.
 
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NewEra 2014

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Old post, but I'll respond ... the thing there is that Norv was making the correct move, and the "Hopper" fellow is a mathematical idiot. You never hit a 16 when the dealer is showing 3. It's not even a close decision. If you were at a table filled with non-mouth-breathers and a guy like Hopper pulled up and started hitting 16 on a dealer 3, he'd get run off in short order.
You are so smart. Still an ahole, but really smart.
 

PSUSignore

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Old post, but I'll respond ... the thing there is that Norv was making the correct move, and the "Hopper" fellow is a mathematical idiot. You never hit a 16 when the dealer is showing 3. It's not even a close decision. If you were at a table filled with non-mouth-breathers and a guy like Hopper pulled up and started hitting 16 on a dealer 3, he'd get run off in short order.
The article says he stayed on 16 vs. a dealer's face card which is the wrong move, supposed to hit there. Also you are incorrect, you'd hit a soft 16 against a dealer's 3.
 

Moogy

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The article says he stayed on 16 vs. a dealer's face card which is the wrong move, supposed to hit there. Also you are incorrect, you'd hit a soft 16 against a dealer's 3.
I already posted that I misread the article … and if they were talking about a soft hand, it’d state as such.
 

Grant Green

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Seems like a hell of a lot of assumptions to make this a ‘no brainer’ precisely because of the things a scenario or formula can’t quantify, and those are momentum swings and psychological impact of failing.

How do you guarantee the other team won’t score? You have to assume in a game you are losing by two TD’s that at a minimum, the other team has shown it can score. And if it’s late? You basically do what you can to win; I’d like to see some numbers/probability on going for two after scoring your first TD in an away game where you’re favored by a single digit.
First, you should read through this thread as responses by Erial and myself will cover some of these.

On momentum, you are assuming this is a one way street - what if your team goes for 2 and misses, they will lose momentum. Well, what if they make it? Doesn't that give them more momentum? This impact cancels out. Also, if your team is down 2 TDs late in the game and you just drove to get one of them, does missing the 2 point really have that much impact to the team psyche? You still have a chance to tie the game with an 8 point play! Plenty of incentive.

You ask, what if the other team scores? Meaningless. If you had gone for the traditional extra point instead of going for 2 and the other team scores then it didn't matter if you went for 2 or 1. The parameters of this scenarios is that your team will be able to score 2 more TDs without the other team scoring, so a score by the other team is not even part of this scenario anyway.

What are the other assumptions? The math is really simple as I have shown. It shows an edge of 62.5% to win the game by going for 2 as opposed to a 50% chance by going for 1. Yes, the math is simplified on purpose so these numbers are not precise. However, 12.5% is an ENORMOUS statistical edge (this is what I think most people are missing). All factors discussed throughout this thread can make subtle differences to the percentages, but none are enough to overcome a 12.5% edge. None.

One last word. There were 2 NFL games last year where this strategy was successful and the team won. One was the GB Packers who made the playoffs by one game.
 
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Leothelion

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Coaches would rather "extend the game" than win the game. Ryan Day was guilty of this in OSU's loss to Oregon. I don't understand why OSU didn't go for 2 after its last touchdown in the 3rd quarter. If they didn't make it they would have ended up losing by 2. Instead they lost by 1. If they had made it, the game would have been tied at the end of regulation.
 

bdgan

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A lot of people freaked out a few years ago when Doug Pederson started doing this. Now, it's becoming more common as coaches accept it (TB did it on Saturday), but I still see folks protesting. I heard a good explanation of the math today that hopefully makes more sense.

First, it's only valid if your team is able to get a 2nd TD without the other team scoring, so that is the assumed scenario. Also, for simplification purposes, assume that an XP is 100% probability and 2Pt conv is 50% (both are slightly less but that isn't too critical). Also must assume that winning in OT is close to 50%, so this may not be applicable if your team is a heavy favorite.

Option 1: Kick the 2 XPs, go to OT. Probably of winning = 50%

Option 2: Go for 2 on the first TD. There is a 50% chance that you win the game right then and there (remember, we assumed that you will score again and kick an XP).
If you miss it, you still have a 50% chance to make the 2Pt conv on the second TD and then a 50% chance to win in OT. The probably of this scenario playing out is 50% (that you miss the 1st 2pt conv) X 50% (that you make the 2nd 2pt conv) X 50% (that you win in OT) = 12.5%.

Going for 2pt conversion leading to a total probability of winning the game = 50% (make the 1st 2pt conv) + 12.5% (miss 1st 2pt conv, but make 2nd and win in OT) = 62.5%
I'm a numbers person but I wouldn't make the decision to go for 2 based on "the book".
  • If I think I have the better team I'd kick and be happy to get into OT.
  • If I'm the underdog I might think this is my best chance to win (like MD yesterday).
  • I'd also consider fatigue. If my team is gassed I'd try to win in regulation.
  • Of course you should also consider who has the momentum. If the momentum is on my side I'd go for 2.
I recall years ago Franklin made a decision that backfired and explained himself by referring to what "the book" says. The problem is the book takes the averages for all teams under all circumstances. That's a useful tool but you also have to have a feel for how the game is playing out.
 

IrishHerb

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I'm a numbers person but I wouldn't make the decision to go for 2 based on "the book".
  • If I think I have the better team I'd kick and be happy to get into OT.
  • If I'm the underdog I might think this is my best chance to win (like MD yesterday).
  • I'd also consider fatigue. If my team is gassed I'd try to win in regulation.
  • Of course you should also consider who has the momentum. If the momentum is on my side I'd go for 2.
I recall years ago Franklin made a decision that backfired and explained himself by referring to what "the book" says. The problem is the book takes the averages for all teams under all circumstances. That's a useful tool but you also have to have a feel for how the game is playing out.
Also have to consider whether or not your team is good in short yardage situations. I've had to endure 12 years of Brian Kelly at ND, and his teams were norotious short yardage failures
 
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Grant Green

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I'm a numbers person but I wouldn't make the decision to go for 2 based on "the book".
  • If I think I have the better team I'd kick and be happy to get into OT.
  • If I'm the underdog I might think this is my best chance to win (like MD yesterday).
  • I'd also consider fatigue. If my team is gassed I'd try to win in regulation.
  • Of course you should also consider who has the momentum. If the momentum is on my side I'd go for 2.
I recall years ago Franklin made a decision that backfired and explained himself by referring to what "the book" says. The problem is the book takes the averages for all teams under all circumstances. That's a useful tool but you also have to have a feel for how the game is playing out.
First, in my mind "playing by the book" is taking the points and just kicking XPs, so the 'go for 2 after scoring a TD to go down by 8' is not at all by the book.

If you are truly a numbers guys, then you should understand that ~62.5% chance of victory is an ENORMOUS edge over a ~50% chance. It's so large that it makes almost any other factor irrelevant (better team, below ave short yardage game, fatigue, momentum, etc). None of these can overcome a 12.5% edge. For context, when coaches are making the 4th down decisions, the analytic differences are often on the order of 52% vs 51% - relatively small compared to a 12.5% difference. In these situations, I can understand considering other factors such as early in the game, fatigue, etc. when making a decision. Not when it's a 12.5% edge though.

Going for 2 points when down by 8 late in the game is going to be overwhelmingly the correct decision almost every single time.
 
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Erial_Lion

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Also have to consider whether or not your team is good in short yardage situations. I've had to endure 12 years of Brian Kelly at ND, and his teams were norotious short yardage failures
As @Grant Green said, in this instance, the numbers would never overcome the edge that you gain by going for two. Especially when you factor in that if your team is bad in short yardage, then wouldn't going to OT put you at a disadvantage with the NCAA OT rules?
 

Erial_Lion

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There is a new one that blew my mind this morning (and I know that @Grant Green and @PSUFTG will appreciate it).

In last night's Dallas-Houston game, Dallas was down 20-10 with 4:21 left in the 3rd quarter. They successfully converted a 64 yard FG on 4th down, but Houston got called for a Personal Foul on the play. So, McCarthy took the points off the board and turned down a 20-13 game to instead keep it 20-10 but have it 1st and 10 from the Houston 31.

Seems like a complete no-brainer decision to me, but he's somehow getting blasted this morning since you "never take points off the board", or that he "could have made it a one score game", and that's somehow the most important thing at that point (at least it is to some that aren’t getting it).

Just shocking stuff...read it in several different places, but here is an example...

 
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LionJim

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There is a new one that blew my mind this morning (and I know that @Grant Green and @PSUFTG will appreciate it).

In last night's Dallas-Houston game, Dallas was down 20-10 with 4:21 left in the 3rd quarter. They successfully converted a 64 yard FG on 4th down, but Houston got called for a Personal Foul on the play. So, McCarthy took the points off the board and turned down a 20-13 game to instead keep it 20-10 but have it 1st and 10 from the Houston 31.

Seems like a complete no-brainer decision to me, but he's somehow getting blasted this morning since you "never take points off the board", or that he "could have made it a one score game", and that's somehow the most important thing at that point.

Just shocking stuff...read it in several different places, but here is an example...

But Dallas ended up getting no points at all for that drive. After taking the penalty they got to 4th and 2 at the eight, went for it and failed. Don’t you think that, down ten with an iffy offense, Dallas not kicking the field goal from the 8 was a mistake?

I agree they taking the penalty was the right move. But in some sense taking the penalty was a good idea because they could have put the three points back on the board later in that drive, the only thing you lose is some time off the clock.
 
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Grant Green

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There is a new one that blew my mind this morning (and I know that @Grant Green and @PSUFTG will appreciate it).

In last night's Dallas-Houston game, Dallas was down 20-10 with 4:21 left in the 3rd quarter. They successfully converted a 64 yard FG on 4th down, but Houston got called for a Personal Foul on the play. So, McCarthy took the points off the board and turned down a 20-13 game to instead keep it 20-10 but have it 1st and 10 from the Houston 31.

Seems like a complete no-brainer decision to me, but he's somehow getting blasted this morning since you "never take points off the board", or that he "could have made it a one score game", and that's somehow the most important thing at that point.

Just shocking stuff...read it in several different places, but here is an example...

I had to read this twice to make sure I was understanding correctly. Yeah, very surprised this call was questioned. I'm all for piling on McCarthy, but not this one.

But Dallas ended up getting no points at all for that drive. After taking the penalty they got to 4th and 2 at the eight, went for it and failed. Don’t you think that, down ten with an iffy offense, Dallas not kicking the field goal from the 8 was a mistake?

I agree they taking the penalty was the right move. But in some sense taking the penalty was a good idea because they could have put the three points back on the board later in that drive, the only thing you lose is some time off the clock.
I would come to a different conclusions with an iffy offense. With limited opportunities to score, you have to maximize points when you get into opposition territory. This will obviously involve some luck, but Dallas is going to need luck to win any football games at this point.
 

LionJim

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That play happened in the third quarter, of course you take the penalty and try to drive in for the TD. I think it is silly to argue otherwise.
Actually, I think that anyone would take the penalty in this situation. This situation, where a penalty allows you to continue a drive, is different than a situation where you go for it on fourth down instead of taking three sure points, or going for two. Technically this was indeed a situation where Dallas “took points off the board,” but it’s not an example that was argued on this board.
 

Erial_Lion

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Actually, I think that anyone would take the penalty in this situation. This situation, where a penalty allows you to continue a drive, is different than a situation where you go for it on fourth down instead of taking three sure points, or going for two. Technically this was indeed a situation where Dallas “took points off the board,” but it’s not an example that was argued on this board.
I could have made a new thread, but posted it here since it's another example of some of those old wives' tales (and "anti-analytics") creeping in like "never take points off the board", or the important of "making it a one score game". I'd think it's obvious to take the 1st down and keep the drive going, but forums, articles (like the one I posted, which called it both "boneheaded" and "illogical"), Twitter, etc are heavily criticizing McCarthy for making such a bad call...it's results-based thinking as it's worst.
 

LionJim

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I could have made a new thread, but posted it here since it's another example of some of those old wives' tales (and "anti-analytics") creeping in like "never take points off the board", or the important of "making it a one score game". I'd think it's obvious to take the 1st down and keep the drive going, but forums, articles (like the one I posted, which called it both "boneheaded" and "illogical"), Twitter, etc are heavily criticizing McCarthy for making such a bad call...it's results-based thinking as it's worst.
Would you have kicked the field goal from the 8 on 4th and 2?
 

Grant Green

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Would you have kicked the field goal from the 8 on 4th and 2?
FWIW, the ESPN 4th down analytics page gave a 3.7% edge to going for it. I'm not going to stake my life on the quality of ESPN's analytics, but even at say, a 2% edge, I lean to go for it. Again, especially given that Dallas was not going to have a lot of opportunities in the RZ again.

https://espnanalytics.com/game/9
 
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