Across the American professional football landscape teams should regularly attempt more two point conversions. While teams should almost always attempt two point conversions regardless, I would say that there is no excuse for a team to forgo attempting a two point conversion when they are the first team to score. By attempting a two point conversion after the first touchdown a team should produce roughly an extra (assuming that they would only achieve a 48% conversion success rate on two point attempts) four points per season. While four points would not generally change many games, it could certainly provide the difference between a loss and an overtime win.
As a quick example of the potential advantage (in a risk-averse environment), a team scores first and converts the two point attempt, conversely the opposing team will quite possibly need to attempt a two point attempt, thereby being put in a slight disadvantage. If a team scores first and fails to convert the two point attempt, then the team will still very likely have a chance to remain in a neutral position if they convert a two point attempt on their second attempt. I would guesstimate that the chance of having another touchdown in a random professional game to be 91% (but it obviously depends on the amount of time remaining, skills of the teams, etc.).
I expect most coaches to remain risk-averse and choose the relatively easy 33 yard extra point attempt, converting successfully at roughly a 95% rate for an additional one point, but that a coach like Chip Kelly will hopefully (finally) take advantage of the additional potential points that are being discounted and have a two point package with Tim Tebow and DeMarco Murray. With such a package I would expect a team to have roughly an overall 64% success rate. While there is a potential game theory flaw with my estimation (although I attempted to account for it), I think that it would be an accurate estimate given that rushing two point attempts convert at an rate of around 61% and Tebow and Murray would offer an above average rushing attack package.
Presuming fifty touchdowns in a season, then implementing a 64% successful conversion rate for two point conversion attempts would result in approximately 64 points from two point conversions, while if a team would attempt to convert the 95% extra point, the team would only produce 48 points (rounded up). Consequently, the Eagles should be able to add nearly two-thirds of a normal game of scoring to their season points total and give themselves a slight, tenable advantage over the rest of the NFL. (Due to Tebow being released I would now estimate the Eagles' chances of successfully converting two point attempts to be at 58%, less of an advantage to be sure, but it would still be worth it for the Eagles to attempt two point conversions nearly every time they score a touchdown.)
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