LabsIntermediate· 7 min read· 4 steps
Model a player prop distribution
Build a fictional scoring distribution, sweep the line, and find where expected value crosses zero at a fixed juice.
- 1
Define the distribution
Set mean points, standard deviation, minutes, usage, and an opponent modifier. These shape the synthetic distribution the line is measured against.
- 2
Set the line and juice
Pick an over/under line and the juice odds. The lab computes the over probability and compares it to the price-implied break-even.
- 3
Sweep the line
The line sweep shows how over probability and EV move as the line shifts. Find the line where EV flips sign for your distribution and juice.
- 4
Add uncertainty
Increase minutes uncertainty to widen the distribution — the same line now yields a different push/over/under balance.
Key takeaways
- Names and stats are placeholders for distribution math.
- The line sweep locates the EV break-even.
- Wider distributions change the over/under balance.