Questions for you:
- In high-stakes decisions where skill and preparation have brought you to a deadlock, do you recognise when introducing controlled randomness (like a coin toss) might resolve impasses more fairly than prolonged negotiation?
- When you dismiss something as “just luck” or “random chance,” are you overlooking opportunities to optimise those apparently random elements for small but consistent advantages?
- Looking at competitive situations in your organisation, how much outcome variance comes from genuine skill differences versus arbitrary factors (timing, initial conditions, who speaks first) that could be deliberately randomised for fairness?
- If a football club could gain a slight advantage by calling the visible coin side (exploiting 51% bias), what other “random” processes in your domain contain hidden biases worth understanding and optimising?
Questions for your organisation:
Marginal gains in apparently random processes: We joke about Brentford FC practising coin tosses, but the principle is serious – analyse supposedly random processes for exploitable patterns. Coins favour the starting position (51%). Penalty shootouts favour toss winners (60%). Interview scheduling affects hiring outcomes. Presentation order influences decisions. Meeting times impact attendance and engagement. Don’t dismiss these as “just random” – small systematic biases compound over repeated instances. Map processes assumed to be fair randomness, test for hidden biases, and optimise where patterns exist.
Using randomness to break skill-based deadlocks: Football minimises randomness for 90 minutes, then uses coin tosses when skill reaches parity. Apply this principle: when equally capable teams/candidates/proposals reach a deadlock, don’t extend evaluation indefinitely in search of marginal differentiation. Use controlled randomness (lottery, rotation, random assignment) to break ties fairly. Extended evaluation in near-parity situations often measures noise rather than genuine differences. Randomness acknowledges that beyond certain thresholds, further discrimination is arbitrary regardless of evaluation sophistication.
Strategic randomness when disadvantaged: Underdogs benefit from increasing outcome randomness – Schoenbrun forced coin-flip odds against a superior opponent. When facing stronger competition, introduce controlled randomness: unconventional strategies, high-variance tactics, and disrupting established patterns. Predictable approaches against stronger opponents guarantee loss; randomness creates upset potential. Applies to market competition, negotiations, strategic decisions – if a conventional approach ensures defeat, deliberately increase randomness even though the average outcome might worsen, because a low-probability success beats guaranteed failure.
Designing fair processes acknowledging randomness: Penalty shootouts demonstrate that seemingly fair processes contain hidden randomness. Design systems that recognise this: rotate speaking order in meetings, randomise interview sequences, use a lottery for over-subscribed opportunities, and acknowledge that evaluation precision decreases as candidate parity increases. Don’t pretend meritocracy can reliably distinguish between near-equals – that creates false confidence in arbitrary outcomes. Build explicit randomness into tie-breaking rather than forcing evaluators to manufacture distinctions that don’t exist.
Further reading
You can find the original research into coin toss-winning tactics here:
https://www.sciencedirect.com/science/article/abs/pii/S0899825621000117
There are, of course, many other factors at play when it comes to taking penalties.
Sports analytics, marginal gains, and randomness
The Numbers Game by Chris Anderson and David Sally – statistical analysis of football showing how small random factors (coin tosses, penalty order, referee decisions) significantly influence outcomes in sport designed to minimise randomness.
Soccernomics by Simon Kuper and Stefan Szymanski – examines football through data and economics, demonstrating how apparently trivial random elements compound into measurable advantages, explaining why analytically-minded teams seek marginal gains everywhere.
Moneyball by Michael Lewis – whilst focused on baseball, demonstrates principle of finding exploitable patterns in processes others dismiss as random or conventional, showing how systematic analysis reveals advantages in unexpected places.
Decision-making under uncertainty and randomness
Thinking in Bets by Annie Duke – poker champion’s framework for decision-making when outcomes involve both skill and luck, arguing for accepting randomness rather than forcing false certainty, with emphasis on distinguishing decision quality from outcome quality.
The Success Equation by Michael J. Mauboussin – provides framework for untangling skill and luck across domains, showing when extending evaluation improves accuracy versus when it just measures noise, relevant to knowing when randomness should break ties.
Algorithms to Live By by Brian Christian and Tom Griffiths – computer science approaches to everyday decisions including discussion of when random selection outperforms exhaustive evaluation, particularly in near-parity situations.
Randomness as strategic tool and fairness mechanism
The Art of Strategy by Avinash Dixit and Barry Nalebuff – game theory text explaining mixed strategies (deliberately randomised choices) and when randomness provides strategic advantage, particularly relevant to underdog situations.
Against the Gods by Peter L. Bernstein – history of probability and risk management including discussion of how randomness can create fairness by preventing gaming of predictable systems.
The Wisdom of Crowds by James Surowiecki – whilst focused on collective intelligence, includes discussion of how randomness in selection and process design prevents bias and gaming whilst maintaining fairness in competitive situations.
About the image
I stumbled across this family of football goals hiding behind a hedge at a local sports centre when they were out of use in the summer.
Photo montage and photo by Matt Ballantine, 2026
