How is 32% a breakeven on 2 point conversions when you needed 2 points on 2 TDs?
Mara made the decision to bench Manning and fed McAdoo to the dogs media while hiding at an NFL owners meeting.
It's 2 points on only one of the two TDs.
Using my math it's actually 32.6%.
If you want me to show you the math I can, but it'll be a long read:
Break-even point comes when Probability of the conventional method equals the probability of Shurmur's Strategy. We're looking for a 2 point conversion percentage that makes that happen. Essentially we're solving for X.
Prob (Conventional) = Prob (Shurmur)
Prob (PAT Successful) * Prob (PAT Successful) * OT (Win) + Prob (PAT Unsuccessful) * Prob (2 pt Conversion Successful) * Prob (Overtime Win) = Prob (2 pt Conversion Successful) * Prob (PAT Successful) + Prob (2 pt Conversion Successful) * Prob (PAT Unsuccessful) * Prob (Overtime Win) + Prob (2 pt Conversion Unsuccessful) * Prob (2 pt Conversion Successful) * Prob (Overtime Win)
I plugged in the numbers we have and made the probability of getting a successful conversion (what we're looking for) X, for easier reading.
0.4084373 + 0.025667 X = 0.944X + 0.025667X + 0.458333X * (1-X)
I won't go through every step but it gets simplified to:
0 = 0.458333X^2 - 1.402333X + 0.408437333
I have no idea how to solve that manually but I used solver.
Set Objective: (Solution to the equation)
To Value of: 0
By changing variable cells: Prob (2 pt conversion)
You can also use goal seek, but it's slightly less accurate.
That spits out the answer of around. 32.6%