- Go for it on 4th down (~35% chance of getting TD)
- Make XP (~95%)
- Get field goal with 2 minutes to go OR win in overtime (~65%)
Now compare that to:
- Kick FG (~95%)
- Get TD with 2 minutes to go (~30%)
If they had changed the strategy by running on 2nd down, then maybe they increase the chances of scoring a TD, but not enough to flip the overall percentage. (Keep in mind that they would have lost more time if they had run on 2nd down, which would have ultimately reduced their odds of scoring at the end of the game.)
Regardless, once they got to 4th-and-7, Dallas absolutely made the right call statistically.
Not sure about that. I just had a little fun with the pro-football-reference win probability calculator.
Dallas' win probability if they make the FG, and give NE the ball @ NE 25, first and 10 with 6:04 remaining and NE a 4 point lead:
14.2%
Dallas' win probability if they make the TD, and give NE the ball @ NE 25, first and 10 with 6:04 remaining and tied:
44.4%
Dallas' win probability if they get no points (get stopped OR miss the FG), and give NE the ball @ NE 7, first and 10 with 6:04 remaining and NE a 7 point lead:
6.2%
So if they can make the FG at a 95% rate, then by electing to kick, they move their win probability to
13.8% (.142 x .95 + .062 x .05 = .138).
Given the above, the breakeven success rate on going for the TD is
20%. (.444 x .2 + .062 x .8 = .138)
If you're right that they had a
~35% chance of getting TD, then they should have gone for it, as it would have moved their WP to
19.6%. (.444 x .35 + .062 x .65 = .196)
So in the end, (and assuming the 95% FG success rate), the right call for Dallas depends on whether you put their success rate going for it on 4th down above or below 20%.