How Odds Work

Everything you need to understand American odds, implied probability, vig, payouts, and the difference between what the book thinks and what the data says.

๐Ÿ”„ Interactive Odds Converter

Implied Probability
Break-Even Rate
Profit if Win
Total Return

For informational purposes only. Not betting advice.

๐Ÿ“‹ Common Odds Explained

Odds Implied Prob Payout on $100 Profit on $100

๐Ÿ’ฐ The Vig (Juice) Explained

Sportsbooks don't offer fair odds. They price both sides so the combined implied probability exceeds 100%. The difference is the vig โ€” the book's built-in margin.

Over
Raw implied:
Under
Raw implied:
Combined raw probability
Overround (vig)
De-vigged Over (true implied)
De-vigged Under (true implied)

Apex Odds always shows de-vigged (no-vig) probabilities so you see the book's true estimate, not the inflated number.

๐ŸŽฏ Odds vs True Probability

This is the most important concept on Apex Odds. We always show three numbers side by side:

51.1%
Book Implied

What the sportsbook's odds say, after removing vig. This is the market's estimate.

58.5%
Raw Historical

Pure fact: how often this player has exceeded this line across the season.

64.2%
Model Estimate

Our model's adjusted probability, factoring in opponent, pace, rest, and recent form.

๐Ÿ“ˆ
Edge: +13.1 percentage points

When the model estimate is higher than the book implied, we call that "edge." It means our data suggests the book may be underpricing this outcome.

โš ๏ธ Edge is a model estimate, not a guarantee of any outcome.

๐Ÿ“‰ Why Odds Move

๐Ÿ“ Key Formulas

Implied probability (positive odds, e.g. +200)
probability = 100 รท (odds + 100)
+200 โ†’ 100 / 300 = 33.3%
Implied probability (negative odds, e.g. -300)
probability = |odds| รท (|odds| + 100)
-300 โ†’ 300 / 400 = 75.0%
Expected Value
EV = (probability ร— profit) โˆ’ ((1 โˆ’ probability) ร— stake)
If model = 64.2% at -115: EV = (0.642 ร— $86.96) โˆ’ (0.358 ร— $100) = +$20.03
De-vig (remove juice)
true_prob = raw_implied รท (over_implied + under_implied)
Over -115 (53.49%) + Under -105 (51.22%) = 104.71%. True over = 53.49 / 104.71 = 51.08%