Week 16, Bengals at Broncos
4th-and-6, 1:51 remaining in 4th quarter, Tied
The Bengals punted on a 4th-and-6 on their 44. The NYT 4th Down bot would have done the same thing, although going for it would have been fine, too.
If you disagree

I lean slightly towards punting, but I don’t have strong feelings here – my numbers tell me that either punting or going for it could be the best play. Specifically, going for it would be the right call if you think the Bengals’ chances of converting on fourth down are greater than 41 percent. (Based on my analysis, I’d give the Bengals a 40 percent chance to get a first down here.)

Here's the full breakdown of my calculations:

Option Chance of converting
Chance of winning
Before play
After play Change
Punt 46% 46% -
Go for it4th and 6, own 44 40% 46% 46% -
Field goal try73 yard kick (est.) <1% 46% 35% –11%
My decision in context

Along with some circuitry to come up with a win probability for every game situation, all you need to figure out what you should do next is an estimate of how likely you are to make a field goal or convert a first down.

My estimates for these are based on the results of thousands of similar plays, but you may think you're smarter than I am. This chart shows you how changing those estimates would change my recommendation.

What to do on 4th-and-6 on own 44
Tied with 1:51 remaining in the 4th quarter
What coaches usually do

Based on about 1,405 fourth downs in similar situations since 2001.

What happened

Kevin Huber punts for 56 yards to Den0. Kevin Huber punts for 56 yards to Den0.

Where did these numbers come from?

To estimate a team’s chances of winning, I use a mathematical model that accounts for a whole lot of variables — including the difference in score, the time remaining in the game, and the number of timeouts each team has left. On top of that, I have models for the likelihood that a team makes a field goal and the likelihood that it will convert a first down.

By combining all of this information, I can come up with the best decision a team can make, according to math.

If you want even more details about the numbers behind my decisions, my full model is available on GitHub. Help make me better!