SGP Correlation Engine
Same Game Parlay Calculator
Enter the legs of your SGP and compare the sportsbook's price to the true correlation-adjusted probability. Positive correlation = smash. Negative = fade.
Leg 1
Leg 2
Leg 3
True win %
21.55%
correlation-adjusted
Independent %
16.34%
naive product
Fair odds
+364
zero-vig
EV at book price
18.53%
+$18.53
✓ Smash spot
True correlation-adjusted probability is +31.9% vs the book's independent estimate. Max pairwise correlation ρ = 0.45.
How the SGP calculator works
Books quote each leg's American odds; we convert to an implied probability, then compute the joint probability using the standard correlation model:
P(A ∩ B) = pA · pB + ρ · √(pA(1−pA) · pB(1−pB))
ρ is the Pearson correlation between the two 0/1 leg outcomes. For example, a QB's passing yards and his top WR's receiving yards correlate around ρ ≈ 0.45 — they hit and miss together far more often than chance. A team moneyline and its opponent's moneyline correlate at ρ ≈ −0.95: they cannot both win.
Smash vs fade
- Smash — true probability > 8% higher than the book's independent product. The correlation is working for you and the book hasn't fully re-priced it.
- Fade — true probability is 8%+ lower than the independent product. Legs are anti-correlated (e.g. both team totals over in a low-total game).
- Neutral — the book's SGP engine has already priced the correlation.
Related tools
- → Parlay calculator — cross-game parlays, no correlation adjustment.
- → No-vig fair odds — strip juice off a single market.