[.Alex.]

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no idea what you're driving at here.

I was thinking of a different math-football thing and will mention it here instead of in a new thread:

Team is up by 7. 2nd and 1 on the opposing 10 with 1:40 left.
Team that is trailing has no time-outs left.

It's my contention that the team that is losing should allow the winning team to score a TD right now if they will take it.
If winning team gets a 1st down they can run the clock out.
If losing team is able to stop them on 2nd and 1 and 3rd and 1 then the winning team will kick a FG to take a 10 point lead and the trailing team will get the ball back with about 10 or 15 seconds I think.

Trying to score 10 points in 15 seconds has to be more difficult than trying to score 14 points in almost 1:40. Both are really unlikely of course but the 2nd one is at least somewhat possible.

Of course, if the attacking team was especially smart then the runner would get the first down and then would fall down shy of the end-zone while the other team is trying to let him score.

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This idea is much more applicable when a team is up by one and either the defense stupidly doesn't allow the team to score or the offense stupidly goes in for a TD instead of falling down.

Edit: Washington appeared to have done this against the Eagles earlier this year when they were down by 1 after a turnover and smartly let Westbrook run it in from the 10.