Betting math
Beginner → sharp
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Guide

Simple explanations, practical examples, no fluff.

What are American odds (moneyline odds)?

American odds (often called moneyline odds) are the + / − numbers you see at sportsbooks: -110, +150, -200, etc. They describe both:

  • How much you win if you’re right (profit), and
  • How often you must win to break even (implied probability).
Fast rule: - means you risk more than you win (favorite / expensive). + means you win more than you risk (underdog / cheaper).

Negative odds (favorites): what “-” means

Negative odds look like -110, -150, -200. They imply the outcome is more likely, so the payout is smaller.

Payout math (negative odds)

  • Profit if win: profit = stake × (100 / A) where A = abs(odds)
  • Total return: stake + profit

Examples

  • -110 with $100 stake → profit ≈ $90.91
  • -200 with $100 stake → profit = $50.00

Positive odds (underdogs): what “+” means

Positive odds look like +120, +150, +250. They imply the outcome is less likely, so the payout is larger.

Payout math (positive odds)

  • Profit if win: profit = stake × (A / 100) where A = odds
  • Total return: stake + profit

Examples

  • +150 with $100 stake → profit = $150.00
  • +250 with $100 stake → profit = $250.00

Implied probability (break-even) from American odds

Implied probability is the win rate you need to break even at that price. It’s not a prediction—it’s the odds translated into a percentage.

Break-even formulas

  • Positive odds (+A): implied = 100 / (A + 100)
  • Negative odds (-A): implied = A / (A + 100) where A = abs(odds)

Break-even examples

  • +150 → 100/250 = 40.00%
  • -110 → 110/210 ≈ 52.38%
  • -200 → 200/300 ≈ 66.67%

Why sportsbooks show odds, not win percentage

  • Odds are the pricing format; the “%” is just a conversion.
  • The implied % includes the book’s margin (vig), especially in two-sided markets.
  • Your “true” win % is a separate estimate (model, matchup analysis, market comparison).

How this connects to EV

Once you have odds (payout) and a win probability estimate, EV is straightforward:

  • EV = p(win) × profit − (1 − p(win)) × stake

That’s why BettorCalc lets you enter a probability: EV depends on what you believe the true win rate is.

Practical tips

  • Line shop: small changes in odds change break-even and long-run results.
  • Use break-even as baseline: if you don’t have a probability model, start here.
  • Don’t confuse implied % with truth: it’s a price conversion, not a forecast.
Disclaimer: informational only. Not financial advice.
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