For K-12 Students · Law of Large Numbers
Law of Large Numbers for a survey sample
Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a survey sample 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 k-12 students?
- Yes — this version of "Law of Large Numbers for a survey sample" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.