How does the Coin Flipper work?

Each flip is independent — previous results do not affect future flips Then: P(heads) = P(tails) = 0.5 (50%) for a fair coin Then: Expected number of heads in n flips: n/2 Then: The longest known streak of heads on record: 10 consecutive heads occurs on average every 1,024 flips.

Can you give an example of how to use the Coin Flipper?

Example: Input 10 coin flips gives a result of Random sequence, e.g. H-T-H-H-T-T-H-T-H-H.

Is the Coin Flipper free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Coin Flipper?

Our Coin Flipper uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Matematika

Coin Flipper

Number of flips (max 100)

A coin flipper simulates a fair coin toss with 50% probability of heads or tails. Despite the simplicity, coin flipping is the foundation of binary decisions, probability theory, and cryptographic key generation.

Streak length	Probability	Expected frequency
2 heads	25%	Every 4 flips
5 heads	3.125%	Every 32 flips
10 heads	0.098%	Every 1,024 flips
20 heads	0.000095%	Every ~1 million flips
30 heads	9.3 × 10⁻¹⁰%	Every ~1 billion flips

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Pro Tip

The Law of Large Numbers guarantees heads and tails even out over many flips — but NOT that they "must" even out soon. After 10 heads in a row, the next flip is still exactly 50/50.

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Did You Know?

A real coin flip is not perfectly fair — the side facing up before the toss lands face-up slightly more than 50% of the time (~50.8%) due to the physics of angular momentum. Professional statisticians use this when it matters.

References

›Coin flipping — Wikipedia

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