It is fair to question it, and i did.
But since you say it's just math (a point which can certainly be disputed), let's run the numbers. This is a simple decision theory problem; of course the probabilities for each course of action / outcome can be debated. Any head coach should have much better knowledge of the relevant situational stats but i'll enter my guesses. I will also neglect some outcomes that are either unlikely, or unlikely to make much of a difference (e.g. likelihood of GB returning the kickoff after a FG for a TD; difference in field position after a missed FG vs. after a kickoff after a successful TD). Times are approximate.
Course of action 1: run on 2nd and 3rd downs
Code:
P(10) achieve 1st down; CARDS WIN
P(90) run clock down to 1:20, attempt FG...
P(95) FG good, 7 point lead, 1:20 remaining...
P(40) GB scores TD, game goes to OT...
P(50) CARDS WIN
P(50) CARDS LOSE
P(60) GB fails to score; CARDS WIN
P( 5) FG miss, 4 point lead, 1:20 remaining...
P(40) GB scores TD; CARDS LOSE
P(60) GB fails to score; CARDS WIN
P(win|COA 1): 0.1 + 0.9 * ( 0.95 * ( 0.4 * 0.5 + 0.6) + 0.05 * 0.6) = .811
Course of action 2: pass on 2nd down
Code:
P(50) pass complete for 1st down; CARDS WIN
P(50) pass incomplete...
P(95) run on 3rd down, fail to achieve 1st down, attempt FG...
P(95) FG good, 7 point lead, 2:00 remaining...
P(60) GB scores TD, game goes to OT...
P(50) CARDS WIN
P(50) CARDS LOSE
P(40) GB fails to score; CARDS WIN
P( 5) FG miss, 4 point lead, 2:00 remaining...
P(60) GB scores TD; CARDS LOSE
P(40) GB fails to score; CARDS WIN
P( 5) run on 3rd down, achieve 1st down; CARDS WIN
P(win|COA 2): 0.5 + 0.5 * ( 0.95 * ( 0.95 * ( 0.6 * 0.5 + 0.4) + .05 * 0.4 + 0.05) = 0.850375
Bottom line: Using the probabilities of each outcome that i chose, the slightly better course of action is to pass on 2nd down. I think given the hindsight that the pass fell incomplete, and that the Packers did score a TD in the 2:00 they were given as a result, skews people's thinking and makes it easy to see as a bad decision. Now you can argue with all of my chosen probabilities, but to claim, without supporting your claim, that this was an "obvious" "ego-driven" "bonehead" decision because of "math" is just plain wrong.
Essentially, the huge upside of completing the pass and ending the game outweighs the downside of leaving Rogers 40 more seconds.
Notes: I assigned a probability of 60% that GB could score a TD with 2:00 and no timeouts, and 40% that they could score a TD with 1:20 and no timeouts. This seems reasonable given that 80 seconds is 1/3 less than 120 seconds, so the probability of success is 1/3 less.
If you want to argue that GB had a MUCH smaller chance of success with 1:20 remaining than with 2:00 remaining... then you should justify that claim in light of the fact that they actually covered 96 yards in the final 55 seconds.
...dave