https://expectedvalue.co.uk/about/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/c39e439d-8a38-40ff-bbc8-c58ce9f54495.jpg Editorial illustration of a thinker weighing options on a balance scale, suggesting deliberate, probability-aware reasoning. https://expectedvalue.co.uk/blog/anchoring-bias/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/297b5be7-871b-4bd3-8424-aca587df6084.jpg Anchoring Bias: How First Numbers Hijack Judgement https://expectedvalue.co.uk/blog/availability-heuristic/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/newspaper-headlines-and-breaking-news-that-fuel-the-2a66c0db.jpg The Availability Heuristic: Why Vivid Examples Mislead https://expectedvalue.co.uk/blog/base-rate-neglect/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/27fca488-f7fd-4cae-84c0-3ae9d723542a.jpg Base Rate Neglect: Why Your Intuitions Are Wrong https://expectedvalue.co.uk/blog/bayes-theorem-explained/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/mathematical-equations-on-a-blackboard-9b28d38e.jpg Bayes Theorem Explained: Formula and 5 Worked Examples https://expectedvalue.co.uk/blog/bayesian-thinking-everyday-decisions/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/43a4f84d-4db6-4056-8027-4380ddbd7e29.jpg Bayesian Thinking for Everyday Decisions https://expectedvalue.co.uk/blog/bayesian-vs-frequentist/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/data-visualisation-with-scatter-plot-c90913b3.jpg Bayesian vs Frequentist Statistics: What's the Difference? https://expectedvalue.co.uk/blog/best-books-probabilistic-thinking-decision-making/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/cfe420fa-200d-4386-bcde-30dc057a541c.jpg 12 Best Books on Probabilistic Thinking and Decision-Making https://expectedvalue.co.uk/blog/best-decision-making-books/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/open-decision-making-books-on-a-wooden-desk-under-warm-light-e1af4dc6.jpg 15 Best Decision Making Books to Change How You Think https://expectedvalue.co.uk/blog/black-swan-events/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/black-swan-on-dark-water-representing-rare-unpredictable-75266390.jpg Black Swan Events: How to Prepare for the Unpredictable https://expectedvalue.co.uk/blog/cognitive-biases-probability/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/stylised-illustration-of-two-interconnected-brain-5a6ec2aa.jpg 12 Cognitive Biases That Wreck Probability Estimates https://expectedvalue.co.uk/blog/conditional-probability-explained/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/probability-venn-diagram-drawn-on-a-whiteboard-visual-bcb02891.jpg Conditional Probability Explained Simply, With Examples https://expectedvalue.co.uk/blog/confirmation-bias-investing/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/investor-reading-financial-news-illustrating-selective-151bfe29.jpg Confirmation Bias in Investing: Fight Your Own Brain https://expectedvalue.co.uk/blog/correlation-vs-causation/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/e1b027be-1bd1-430a-a021-dadf90f0e98c.jpg Correlation vs Causation: A Probabilistic Thinking Guide https://expectedvalue.co.uk/blog/decision-journals/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/open-notebook-with-pen-decision-journal-illustration-26ddeac5.jpg Decision Journals: Track Your Thinking to Improve It https://expectedvalue.co.uk/blog/decision-trees-visual-framework/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/forked-paths-through-a-forest-illustrating-a-branching-869e5519.jpg Decision Trees: A Visual Framework for Complex Choices https://expectedvalue.co.uk/blog/dunning-kruger-effect/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/cd9eb39c-72f5-4bd8-91fe-ed1ecaebe4f2.jpg The Dunning-Kruger Effect: Why We Overestimate Our Abilities https://expectedvalue.co.uk/blog/endowment-effect/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/vintage-ceramic-coffee-mug-on-a-wooden-table-richard-thaler-a7cfe211.jpg Endowment Effect Explained: Why You Overvalue What You Own https://expectedvalue.co.uk/blog/ergodicity-explained/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/a-long-term-financial-chart-showing-the-divergence-between-3f63195e.jpg Ergodicity Explained: Why Time Averages Matter Most https://expectedvalue.co.uk/blog/expected-value-calculator/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/expected-value-calculation-laid-out-on-paper-with-calculator-743afeb6.jpg Expected Value Calculator: How to Calculate EV Step-by-Step https://expectedvalue.co.uk/blog/expected-value-explained/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/304ec65d-0d74-49b9-89ad-9209d8e10ebc.jpg Expected Value Thinking: Better Decisions Under Uncertainty https://expectedvalue.co.uk/blog/expected-value-formula/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/mathematical-formulas-on-a-whiteboard-illustrating-expected-44480ae0.jpg Expected Value Formula: Derivation and 5 Worked Examples https://expectedvalue.co.uk/blog/expected-value-poker/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/poker-chips-and-cards-1c533db4.jpg Expected Value in Poker: Pot Odds, EV & Decisions https://expectedvalue.co.uk/blog/expected-value-vs-expected-utility/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/balance-scales-weighing-financial-trade-offs-a908c860.jpg Expected Value vs Expected Utility: When EV Isn't Enough https://expectedvalue.co.uk/blog/false-positive-paradox/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/2affa03c-e629-40bf-a196-b81c878c2d76.jpg The False Positive Paradox: Why Positive Tests Mislead https://expectedvalue.co.uk/blog/fractional-kelly/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/trading-chart-showing-volatile-drawdowns-and-recovery-87ff08a0.jpg Fractional Kelly: Why Half Kelly Is the Smart Default https://expectedvalue.co.uk/blog/framing-effect-bias/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/two-diverging-paths-in-a-forest-representing-a-binary-choice-274632be.jpg Framing Effect: Why How You Hear It Changes Your Choice https://expectedvalue.co.uk/blog/gamblers-fallacy/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/0bb5b5c6-655c-4484-93ba-b4b902a82661.jpg The Gambler's Fallacy: Why You're Wrong About 'Due' Outcomes https://expectedvalue.co.uk/blog/hindsight-bias/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/910d7a65-288b-42f2-bd41-74b74c5fc7a9.jpg Hindsight Bias: Why Everything Looks Obvious After the Fact https://expectedvalue.co.uk/blog/how-insurance-companies-use-probability/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/insurance-and-probability-actuarial-calculations-and-risk-7fbd5368.jpg How Insurance Companies Use Probability to Make Money https://expectedvalue.co.uk/blog/how-prediction-markets-work/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/ffed4b94-f971-4c25-aad2-348438e3a28f.jpg How Prediction Markets Work: Probability Meets Money https://expectedvalue.co.uk/blog/kelly-criterion-calculator/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/kelly-criterion-calculator-worked-example-with-formulas-and-d7ffc03e.jpg Kelly Criterion Calculator: Betting, Investing, Poker https://expectedvalue.co.uk/blog/kelly-criterion-optimal-bet-sizing/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/80e7cd52-4713-452c-aac8-cdead955e81.jpg The Kelly Criterion: How to Size Your Bets Optimally https://expectedvalue.co.uk/blog/law-of-large-numbers/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/casino-roulette-wheel-with-chips-on-a-green-felt-table-2a6a5931.jpg The Law of Large Numbers: Why Casinos Always Win https://expectedvalue.co.uk/blog/loss-aversion/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/bdff1807-6bb2-4925-9b7d-67c48ea4deab.jpg Loss Aversion: Why Losses Hurt Twice as Much https://expectedvalue.co.uk/blog/monte-carlo-thinking/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/abstract-data-visualization-representing-monte-carlo-09981f0e.jpg Monte Carlo Thinking: How to Stress-Test Decisions https://expectedvalue.co.uk/blog/monty-hall-problem-explained/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/three-closed-doors-representing-the-monty-hall-problem-8719f3e6.jpg The Monty Hall Problem: Why You Should Always Switch https://expectedvalue.co.uk/blog/nassim-taleb-ideas-explained/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/open-books-on-a-desk-representing-the-incerto-series-37665c70.jpg Nassim Taleb's Ideas: Black Swan, Antifragile & More https://expectedvalue.co.uk/blog/negative-expected-value/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/lottery-tickets-fanned-out-on-a-wooden-surface-22949e48.jpg Negative Expected Value: Why Lottery Tickets Always Lose https://expectedvalue.co.uk/blog/overconfidence-bias/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/investor-staring-confidently-at-trading-screens-dce24d5e.jpg Overconfidence Bias: Why Active Traders Underperform https://expectedvalue.co.uk/blog/position-sizing-kelly-criterion/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/33424494-6901-4d89-921a-bc2b36b254f3.jpg Position Sizing: How Much to Bet When You Have an Edge https://expectedvalue.co.uk/blog/pre-mortem-decision-making/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/team-gathered-around-a-whiteboard-sketching-project-plans-8c977ade.jpg The Pre-Mortem - Imagine Your Decision Already Failed https://expectedvalue.co.uk/blog/probabilistic-framework-career-decisions/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/3616399f-b802-4b7e-b635-96806a8632de.jpg A Probabilistic Framework for Career Decisions https://expectedvalue.co.uk/blog/probabilistic-thinking-everyday-life/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/dice-on-a-green-table-showing-probability-1d88648b.jpg Probabilistic Thinking in Daily Life: 7 Practical Uses https://expectedvalue.co.uk/blog/probability-calibration-training/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/arrows-clustered-tightly-on-a-target-a-metaphor-for-well-5fd56105.jpg Probability Calibration: Predict Like a Superforecaster https://expectedvalue.co.uk/blog/probability-vs-odds/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/83f20e8b-6a3b-4e8e-88d2-da0c0407e38a.jpg Probability vs Odds: The Difference and Why It Matters https://expectedvalue.co.uk/blog/prosecutors-fallacy/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/courtroom-scales-of-justice-symbolising-the-prosecutor-s-9b63d8d7.jpg The Prosecutor's Fallacy: How Courts Get Statistics Wrong https://expectedvalue.co.uk/blog/recency-bias/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/stock-market-candlestick-chart-643b5cb9.jpg Recency Bias in Investing and Sports Predictions https://expectedvalue.co.uk/blog/regression-to-the-mean/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/scatter-plot-of-data-points-showing-variance-and-the-095d5862.jpg Regression to the Mean: Why Extremes Don't Last https://expectedvalue.co.uk/blog/risk-vs-uncertainty/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/5d9efc1d-c54c-422c-80eb-9a854ead624f.jpg Risk vs Uncertainty: The Distinction That Matters https://expectedvalue.co.uk/blog/second-order-thinking/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/0e9903c5-1125-42cc-8535-db9fe31b35f7.jpg Second-Order Thinking: How to See Around Corners https://expectedvalue.co.uk/blog/status-quo-bias/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/compass-representing-how-status-quo-bias-anchors-decisions-aeea0888.jpg Status Quo Bias: Why We Stick with Defaults https://expectedvalue.co.uk/blog/sunk-cost-fallacy/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/a729f9f4-189e-40b1-995b-e2b9ac0dd1ad.jpg Sunk Cost Fallacy: When to Quit and When to Persist https://expectedvalue.co.uk/blog/survivorship-bias/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/vintage-wwii-era-military-propeller-aircraft-15b5dc32.jpg Survivorship Bias: The Hidden Data That Changes Everything https://expectedvalue.co.uk/blog/thinking-fast-and-slow-kahneman/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/stylised-illustration-of-two-interconnected-brain-5a6ec2aa.jpg Thinking, Fast and Slow: The Bias Book Worth the Hype https://expectedvalue.co.uk/blog/thinking-in-bets-annie-duke/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/poker-chips-and-playing-cards-on-a-felt-table-d3bac4b2.jpg Thinking in Bets: Decisions Like a Poker Pro https://expectedvalue.co.uk/blog/thinking-in-probabilities/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/ac1b8277-33c8-431b-ab9f-d7761a532392.jpg Thinking in Probabilities: Why Your Brain Is Bad at Risk https://expectedvalue.co.uk/compare/kalshi-vs-polymarket-vs-manifold/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/prediction-market-trading-interface-with-probability-charts-9e7a994d.jpg Kalshi https://expectedvalue.co.uk/home/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/0c9b5b4f-6ff6-44a9-83c6-b4dbdf690a5b.jpg Hero illustration of overlapping probability distributions and decision branches, framing the site's focus on probabilistic thinking and rational decisions. https://expectedvalue.co.uk/product/fooled-by-randomness-taleb/ https://expectedvalue.co.uk/assets/5df1ee4f-c906-43dc-a9d0-c15a782662ce/stack-of-books-on-a-desk-1d4bdfb0.jpg Stack of books on a desk https://expectedvalue.co.uk/product/signal-and-noise-nate-silver/ 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