Yes, and it is simple statistics =). What probability is higher? The chances of scoring on the two-point conversion OR converting the pat AND winning in overtime as the away team?
scenario 1: 2015 two-point conversion stat for NFL - 45 / 94 = 47.87%
scenario 2: 2015 pat - 1,131 / 1,199 = 94.3% , and away team wins in overtime since 2001 is 110 / 242 = 45.45%
thus, converting pat AND winning as the away team in overtime = 94.3% * 45.45% = 42.86%
scenario 1 > scenario 2; thus, go for two always. It is like never hitting on a 17, and always splitting your 8's in blackjack. McCarthy should have known to go for two.
The numbers above are probably plus or minus two percentage points but the general idea is the same: you go for two.
Although your numbers sound like a convincing point (if that is all you will be basing your decisions on), your numbers really aren't correct. First of all Mason Crosby was 100% converting PAT's in 2015.
Not sure where you got this stat
away team wins in overtime since 2001 is 110 / 242 = 45.45%
I found this: The home team has a slight advantage in overtime with a 250-224-17 (.526 W Pct)
So even with my numbers the Packers are statistically only going to win 47.4% of the time doing what they did, compared to your number of 47.87% of 2 points being successful and the Packers winning that way. However, as myself and many have pointed out, statistics don't really give you the full picture. One, what situation were the 2 points converted this year successfully? Was the game on the line? Or during garbage time? Possibly when a team was down by 2+ scores in the last part of the 4th quarter and the defense played softer? What teams gave up 2 point conversions? What team made them? Were all players healthy?
Bottom line, when the "statistics and probabilities" of things like this are so close, its a coaches decision as to what he feels will be more successful for his team in that particular moment. So for people to spend all this time running stats and probabilities and then saying "Ah ha, MM was a fool...he didn't know or use probability in his decision and he cost us a game!" No, actually he did know probabilities at the time of his decision and he thought his team had a more probable chance of winning in overtime. No matter what you or anyone shows me with statistics and probabilities, I'm going to tell you that those numbers aren't playing in that game at that particular moment.