Probability and Statistics Lab

Before you say "the stats prove it", run the numbers.

Inspired by every Messi vs Ronaldo argument on X. This lab uses illustrative sample data so you can feel how priors, variance, and sample size actually behave. It will not settle the debate. It will make your argument honest.

Interactive Bayes Table

Hypothesis H: "Player A (Messi) has the higher true goals-per-90 rate." Evidence E: "Player A outscores Player B over the next 10 matches." Edit any cell; the posterior updates instantly.

QuantitySymbolValue (0-1)
Prior belief H is trueP(H)
Chance of E if H trueP(E|H)
Chance of E if H falseP(E|¬H)

Posterior

P(H|E) = 0.591

Distribution Simulator: goals per 90 minutes

Player A (Messi, sample)Player B (Ronaldo, sample)

What the sample can actually support

P(A's sample mean beats B's) ≈ -

Hypothetical: means and variance here are adjustable illustrations, not career records.

Verified fact: both players have exceeded 700 career club goals; single-season output for each has varied by large margins year to year, which is exactly why variance matters.

Assumptions Quiz

Score: 0 / 3

Session

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