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Fundamentals·8 min read

Value Betting 101:
How to Calculate Expected Value

The mathematical foundation of profitable betting. No gambling system, no magic formula — just mathematics.

What is Value Betting?

Value betting is placing bets where the odds offered by bookmakers are higher than the true probability of an outcome. Over thousands of bets, this mathematical edge compounds into profit.

It's not about predicting winners. It's about finding prices that don't reflect reality.

The Core Principle

If a coin flip pays 2.10 for heads (implied probability: 47.6%) but the true probability is 50%, you have a +4.76% edge. Flip enough times and you profit — regardless of individual outcomes.

The Mathematics: EV Formula

Expected Value Formula

EV = (Probability × Odds) - 1

If EV > 0, you have a value bet.

Example Calculation

A bookmaker offers 3.00 odds on a player to score anytime. Your model calculates the true probability at 40%.

EV = (0.40 × 3.00) - 1
EV = 1.20 - 1
EV = +0.20 (20% value)

This bet has 20% positive expected value. Place enough of these and the mathematics work in your favor.

Implied Probability: Reading Bookmaker Odds

Every set of odds implies a probability. To find value, compare implied probability to true probability.

Implied Probability Formula

Implied Probability = 1 / Decimal Odds
2.00
50%
3.00
33.3%
5.00
20%
8.00
12.5%
10.00
10%
15.00
6.7%

Value Percentage: The Proppr Way

Proppr displays value as a percentage — how much "extra" you're being paid compared to fair odds.

Value Percentage Formula

Value % = ((Bookmaker Odds ÷ Model Odds) - 1) × 100

Real Example from Proppr

Bookmaker Odds: 8.5
Cerebro Model Odds: 2.86
Value % = ((8.5 ÷ 2.86) - 1) × 100
Value % = 197.2%

The bookmaker is paying nearly 3x what the mathematics say is fair. This is an extreme example — most value plays are in the 10-50% range.

Why Individual Results Don't Matter

Critical Mindset Shift

A +20% EV bet will still lose most of the time if the probability is 40%. You'll lose 6 out of 10 on average. But when you win, you win big — and the mathematics compound over hundreds of bets.

As Jay (Prof. X), the Proppr creator, says:

"There will be just as many losing alerts as winning alerts. The edge comes from long-term volume on positive EV plays."

How Proppr Finds Value

The Cerebro model is a hard-coded statistical engine (not AI, not machine learning) that:

  • Analyzes last 5-10 games of player/team performance
  • Accounts for primary and alternative positions
  • Factors in opponent strength adjustments
  • Compares calculated fair odds to live bookmaker prices
  • Alerts when value exceeds your minimum threshold

Ready to apply this?

Start finding value bets with Proppr