🎲 Law of Large Numbers (2D)

X̄ → μ as N → ∞

Distribution

Custom bias p 0.50

Trials per tick

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Live stats

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Trials N

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Running X̄

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True μ

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|X̄ − μ|

As N grows, the running sample average converges in probability to the true expected value μ. The shaded band is ±σ/√N, shrinking as more trials accumulate.