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REAL SITUATIONS. YOUR CALL.Start a rep
EXPLORE THE NUMBERS

Decision calculator

Adjust conversion and continuation probabilities. See where the preferred call changes.

Your assumptions
The decision boundary

How much is the next possession worth?

Compare all three calls using the same assumed continuation values.

Fourth-down alternatives · illustrative inputs
PolicyModeled win chance
Go for itConvert or turn it over on downsHighest under these inputs52.32%
Kick the field goalMake or miss48.40%
PuntTransfer possession43.00%
Go: 52.32%. Kick: 48.40%. Punt: 43.00%.
Conversion break-even42.4%or higher

Go matches or exceeds the better of kick and punt at this conversion rate, holding every other input fixed.

Go versus best alternative+3.92 pp

Difference in percentage points versus the field goal.

See the arithmetic

Gop × W(convert) + (1 − p) × W(fail)52% × 72% + 48% × 31% = 52.32%

Kickf × W(make) + (1 − f) × W(miss)68% × 58% + 32% × 28% = 48.40%

Threshold[max(W(kick), W(punt)) − W(fail)] ÷ [W(convert) − W(fail)]If the denominator is negative, the inequality reverses. Equal branch values have no unique threshold.

Illustrative, uncalibrated inputs. The arithmetic is exact for this simplified model. Team strength, kicker range, weather and play duration need a validated data model before these become game recommendations. Keep continuation values internally consistent.

Default values are teaching assumptions. A sensitivity crossover shows how this model behaves; it does not establish a league-wide policy.