For Students · Law of Large Numbers
Law of Large Numbers for a p-value
Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a p-value live below — adjust the inputs and watch it respond, right in your browser.
Law of Large NumbersLive
chance averages out
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Flip a coin a few times and the proportion of heads jumps around wildly; flip it thousands of times and it settles onto the true probability. That is the law of large numbers — averages converge even though individual flips stay random. Crucially, it does not mean a run of tails is "due" to reverse; that belief is the gambler's fallacy.
Data Inspector
Flips0
Observed p0.0000
Deviation-50.00%
Governing equation
Reading this result: With a near-fair coin the running proportion wanders wildly at first, but the law pulls it toward 0.50 as flips pile up — and a streak of tails never makes heads “due.”
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Frequently asked questions
- Is this good for students?
- Yes — this version of "Law of Large Numbers for a p-value" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.