Re: Going for two each time Theory
Two reasons:
1. 6 points only ties 2 FGs, which is a common scoring increment. As you've established, the 2pt is roughly equal to the PAT, but loses big against 2 FGs.
2. Assume that each team scores 1 TD. If the first team goes for 2, it will lose a lot more than 50% of the time. 50% of the time it misses and loses. 50% of the time it makes. Then, the other team knows to go for 2, and ties the game half the time. Obviously, the real life situations aren't so formalistic, but the longer there is remaining in the game, the more this effect costs the converting team.
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