Coin Flip Simulator & Probability Stats
Simulate up to 10,000 coin flips and watch heads/tails converge on 50% in a live SVG chart.
Flip a virtual coin up to 10,000 times in under a second and see exactly how the numbers behave. The simulator tracks the running share of heads and tails and charts how that ratio settles toward 50% as the sample grows — the Law of Large Numbers playing out in real time.
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How to use
- Choose how many flips to simulate (10, 100, 1,000, or 10,000).
- Press Flip to run the simulation — you'll get a spinning-coin animation while the random data is generated.
- Review the final heads-to-tails count, the longest streak of a single side, and the convergence chart showing the ratio settling toward 50%.
FAQ
- What is the Law of Large Numbers?
- It's the statistical principle that as you repeat an independent trial — like a coin flip — more and more times, the observed rate of an outcome (your actual share of heads) drifts closer and closer to its theoretical probability (50%). Crank up the flip count here and you can watch it happen: the convergence curve flattens right onto the 50% center line.
- If heads comes up 9 times in a row, is tails more likely on the next flip?
- No. That's a classic statistical illusion known as the gambler's fallacy. Each coin flip is an independent event, so no matter what came before, the odds of heads or tails on the next flip stay fixed at exactly 50/50.
- If heads comes up 9 times in a row, is tails more likely on the next flip?
- No. That's a classic statistical illusion known as the gambler's fallacy. Each coin flip is an independent event, so no matter what came before, the odds of heads or tails on the next flip stay fixed at exactly 50/50.