Opening the door…
Games · probability lab
Opening the door…
Mathematics · Chance
Coin, die, trials. Histogram meets theory. Then the mean learns a width.
Dashed line ≈ theoretical 1/2 (50.00% each).
Central limit
x̄ — · μ 0.500
Run trials. The band narrows as 1/√n.
Same iid draws. The mean is approximately normal. The band is not a promise about the next face. It is a width on the estimator.