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Lesson 5 of 5

Motivation, context and traps: a full worked example

3 min read · Intermediate · Updated 2026-10-21

In one sentence
Head-to-head, derbies and new-manager stories rest on small samples, so run a match through the full checklist and be ready to pass.

The stories around a match are convincing. Most do not survive a check of the sample. Here are the usual traps, and then one match goes through the whole process.

The usual traps

  • Dead rubbers: a team that has secured or lost its target may field a different side. The catch is that you know the motive, not what the manager will do. If the market has not moved, do not overrate it.
  • Derbies: the emotions are real, but the statistics show no stable pattern. You usually hear "anything goes in derbies". That is a story, not a number.
  • New manager: the "bounce" of the first games mostly disappears when you compare with similar teams in poor form that did not change manager. Often it is a return to the average.
  • Head-to-head: few games, with different players and managers. It is not a measurement.
Example
Team A won 4 of the last 5 games against Team B (80%). The standard error is √(0.8 × 0.2 / 5) = 17.9. A 95% range runs from about 45% to above 100%, so it says almost nothing. Give it the smallest weight.

One whole match

Made-up data. Team A hosts Team B. Base from team strength: A 46.0%, draw 27.0%, B 27.0%.

  • Absences: A’s striker is out (−2.0 on A’s win) and so is B’s centre-back pair (+2.0 on A’s win).
  • Schedule: B played two days ago (+0.5 on A’s win).
  • Form and motivation: no correction. The sample is small and nothing changes it.
StepADrawB
Base46.0%27.0%27.0%
After corrections46.5%27.0%26.5%
Fair market price44.0%28.0%28.0%
Final (0.9 market + 0.1 ours)44.25%27.90%27.85%
For A: 0.9 × 44.0 + 0.1 × 46.5 = 39.6 + 4.65 = 44.25. The finals add up to 100.0%.
Final estimate44.3%A27.9%Draw27.9%BMade-up data
Our estimate comes out almost the same as the market. That is normal.
Example
The fair market price of A is 100 / 44.0 = 2.27. The bookmaker offers 2.35. It beats the fair price by 2.35 / 2.27 − 1 = 3.4%. If your threshold is 5%, you do not play. At 2.40 it would be 5.6%, and then the bet passes, with a small stake. Decision at 2.35: pass.

What the example leaves you with

Look at how the number moved: from 46.0 to 46.5 after the corrections and to 44.25 after the comparison with the market. The stories around the match, the motive, the derby, the history of the two teams, changed almost nothing. The market did most of the work. That is the right result when you have nothing the market does not know. And note this: even if the decision had been "play", it would not be a bet that "must" win. With a probability of 44.25% you lose 55.75% of the time. Only over a large number of bets does it show whether the threshold and the price work.

Passing is part of the process. Probabilities are estimates and a bet that passes the check can still lose. 18+ and play responsibly.

Check your understanding

1. A won 4 of 5 against B (80%). What is the standard error?
√(0.8 × 0.2 / 5) = √0.032 = 17.9%.
2. Market 44.0% and our own estimate 46.5% for A. With a 0.9 / 0.1 blend, the final is:
0.9 × 44.0 + 0.1 × 46.5 = 39.6 + 4.65 = 44.25.

18+ only. Educational information, not betting or financial advice.

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