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DAQIS Research Note · Statistics

Understanding Expected Value (EV)

Expected value combines probability, price and outcome to estimate long-term return.

%EXPECTED VALUE
Why can a losing bet still be a good decision?

Ask a beginner what makes a good bet and the likely answer is: “One that wins.” It sounds logical.

Reality is more complex. Bet quality depends not only on the result, but on the value available when the decision was made.

This is Expected Value, or EV.

What is Expected Value?

EV indicates whether a decision is likely to be profitable or unprofitable on average over the long run.

It concerns hundreds or thousands of repetitions, not one bet. Positive EV suggests an edge; negative EV implies expected loss.

A simple example

We estimate an outcome’s true probability at 60%, while the bookmaker offers odds of 2.00.

Our estimate60%
Implied probability at 2.0050%
Probability edge+10 percentage points

The offered price is higher than our estimated probability justifies. This is a value bet.

Interactive tool

EV Calculator

Enter your estimated probability and the bookmaker’s decimal odds.

Positive EV+18.90%

Based on your estimate, the offered price theoretically contains value.

Implied market probability48.8%
Probability edge+9.2%
Expected return per 1 Unit+0.189 Unit
EV = probability × odds − 1

Why doesn’t it always win?

Because probability is not a guarantee. A positive-EV bet can still lose.

  • A fair coin has roughly a 50% chance of heads
  • Two flips do not guarantee one head
  • Tails can appear twice or even five times in a row

Sports betting works the same way. The objective is more valuable decisions over time, not winning every bet.

What is a Value Bet?

A value bet exists when our estimated probability is higher than the probability reflected in the odds.

Our estimate55%
Probability implied by odds48%
Difference+7 percentage points

The market is undervaluing the outcome. That difference can create a long-term edge.

How does DAQIS find value?

We do not try to predict every match. We look for:

  • Differences between statistical probability and price
  • Markets that show persistent value
  • Strategies that repeatedly identify positive-EV situations

This analytical process sits behind every strategy.

Why is EV more important than one winner?

Consider two bettors:

Bettor A8 wins from 10 · negative EV
Bettor B5 wins from 10 · positive EV

A may appear more successful in the short run. B is more likely to profit over the long run.

Not because B wins more often, but because B makes better decisions.

Expected Value and patience

Never judge from one bet. A good decision can lose and a poor decision can win.

DAQIS therefore evaluates strategies over large samples. The complete set of decisions must produce a positive long-term result.

What does this mean in practice?

When a DAQIS strategy selects a bet, we do not claim it will certainly win. We claim the available data shows value at that moment.

Uncertainty will always exist in sport, but value can recur for those who follow a disciplined system.

Summary

EV explains why good decisions do not always bring immediate success and why winners are not always correct decisions.

We do not search for guaranteed winners, but for prices that data suggests may provide a long-term edge.

The goal is not every bet winning; it is a long sequence of decisions producing a positive result.

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