This is a cross-post of sorts from 2plus2.
A gentleman there determined that if XPs are converted at 98% and 2 pt conversions at 42% (I'm trusting his numbers) then a team should go for 2 upon scoring if they were down by 14. If they succeed they go for the XP next time, if they fail they obviously go for 2.
The Math:
Combos In Going For 2
Succeed on 1st, Make XP on 2nd (AHEAD 1) = 41.12%
(.42 * .98)
Succeed on 1st, Miss XP on 2nd (EVEN) = 0.01%
(.42 * .02)
Fail on 1st, Succeed on 2nd (EVEN) = 24.36%
(.58 * .42)
Fail on 1st, Fail on 2nd (BEHIND 2) = 33.64%
(.58 * .58)
I'll save you the math on going for 1 but it works out to being even 96.88% of the time, and behind 3.22% of the time. Assuming OT is a 50/50 proposition you win 48.44% of the time going for 1 after the first TD.
By Going for 2 after the first TD, you win 53.30% of the time (again assuming 50/50 for OT)
Now the assumptions in this are extensive. You first must assume that there is only time for one more score. You must assume that OT is a 50/50 shot for your team. You must also assume that there are no "momentum" effects of missing the 2PC. There are also some 2nd level considerations like the effect of going for 2 more often on your conversion rate.
REGARDLESS, the basic math shows that going for 2 is easily the correct move, but coaches would likely be mobbed for losing a game by making the technically correct decision.
Thoughts?
P.S. - I stated being ahead by 1 in the event as a win, and being down by 1 or 2 as a loss. Obviously an additional FG for your team or the opposition changes this, but that has no bearing on the numbers. If you can't see why PM me rather than cluttering the thread.
A gentleman there determined that if XPs are converted at 98% and 2 pt conversions at 42% (I'm trusting his numbers) then a team should go for 2 upon scoring if they were down by 14. If they succeed they go for the XP next time, if they fail they obviously go for 2.
The Math:
Combos In Going For 2
Succeed on 1st, Make XP on 2nd (AHEAD 1) = 41.12%
(.42 * .98)
Succeed on 1st, Miss XP on 2nd (EVEN) = 0.01%
(.42 * .02)
Fail on 1st, Succeed on 2nd (EVEN) = 24.36%
(.58 * .42)
Fail on 1st, Fail on 2nd (BEHIND 2) = 33.64%
(.58 * .58)
I'll save you the math on going for 1 but it works out to being even 96.88% of the time, and behind 3.22% of the time. Assuming OT is a 50/50 proposition you win 48.44% of the time going for 1 after the first TD.
By Going for 2 after the first TD, you win 53.30% of the time (again assuming 50/50 for OT)
Now the assumptions in this are extensive. You first must assume that there is only time for one more score. You must assume that OT is a 50/50 shot for your team. You must also assume that there are no "momentum" effects of missing the 2PC. There are also some 2nd level considerations like the effect of going for 2 more often on your conversion rate.
REGARDLESS, the basic math shows that going for 2 is easily the correct move, but coaches would likely be mobbed for losing a game by making the technically correct decision.
Thoughts?
P.S. - I stated being ahead by 1 in the event as a win, and being down by 1 or 2 as a loss. Obviously an additional FG for your team or the opposition changes this, but that has no bearing on the numbers. If you can't see why PM me rather than cluttering the thread.