Going for 2 and rolling dice are completely different. The likelihood of getting the 2-point conversion was affected by the play of the team and the players available. People don't understand variables, like at all.
While I will give you that they are different in the fact that there are more variables... Where they are not different is probability. Probability is probability. I explained above how I came up with this using only data from the game that they played. Not other games, other defense or anything else.
Green Bay had 10 possessions.... Scored on 4.
So basing this off of that.
40% chance they would score. (Which is higher then the yearly rate and still lower than their redzone touchdown rate which I will show below)
or
20% (scoring a touchdown)
Now if you take into account that you have a 50% chance of having to stop the other team first. You're odds are lower. On average the team that loses the coin toss doesn't get to touch the ball in 20% of games. Then subtract some more because the home team wins on average 61% of all overtime games.
Factor in the fact that Arizona is much higher on scoring offense, than green bay is on scoring defense, and your odds get even worse.
Note: I am being nice and leaving out the first game between them. Because if I include all data of these two teams from this year the choice is incredibly easy. But if you want me to add more credible data I can but it is even worse for your outcome.
Because scoring in the red zone, especially when you only have 12 yards to work with, can be much harder than moving the ball in the middle of the field. I don't see how people don't understand this.
Where do you see this stat? Or are you making this up? Ohh wait I know you are making it up.
Because according to stats Green Bay converted 55% of redzone drives into touchdowns this season. Yet they only scored 1.93 average points per drive including touchdowns. Meaning they scored on less than 35 percent of total drives if you take the total drives into account. SOOOO you are wrong.
You are more likely to score a TD from the redzone, then even a 2 point conversion. And much more likely to score on either of those then a vanilla starting position on the field.
Green Bay 55.00%
https://www.teamrankings.com/nfl/stat/red-zone-scoring-pct
and
http://www.footballoutsiders.com/stats/drivestats
And
http://www.sportingcharts.com/nfl/stats/team-scoring-drive-efficiency-statistics/2015/
So please tell me how I don't understand... Please try to prove me wrong again.
The Packers went 4 of 6 on 2 point conversions during the regular season. While this appears to support your theory on the surface, I believe that it fails when the other important variables are tossed in regarding the WRs available (or lack thereof of playmakers), the lack of offensive momentum, our inability to smash it up the middle, and the fact that the game was on the line. You seem to want to ignore that fact because we went 4 of 6 in the season on regular 2-point conversions. It is a factor that the Packers weren't good when it mattered.
So they would be better converting these during a longer drive... You don't get better receivers if the field is longer, the line doesn't get better, and Aaron doesn't throw better.
The odds go up if the field is longer? No stat supports that theory at all. Because from everything I see the Packers on the year score on about 35 percent of their drives.
So for your theory to have any weight what-so-every you would have to prove to me that GB had less than 35 percent chance be successful on a 2pt conversion.
If you can't do that, then you ARE WRONG.
I know why McCarthy did it, because that is the accepted way of doing it. But any math you do will not support it.