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LESSON 4 · Probability & Luck

Update Your Own Belief

Pick one belief you hold with about 70% confidence. Example: "My friend will remember my birthday." That is your prior: P(remembers) = 0.70.

Then you get evidence. Say they text you about weekend plans. How likely is that message if they remembered (90%)? How likely if they forgot (40%)? That is the likelihood.

Apply Bayes: posterior = (0.70 × 0.90) / (0.70 × 0.90 + 0.30 × 0.40) = 0.63 / 0.75 ≈ 84%. The message lifted your confidence from 70% to 84%.

Do this on real situations and your belief updating becomes quantitative rather than emotional. You stop swinging between certainty and panic.