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🪙 Coin Flip

Heads or tails? Flip a coin!

🪙

About Coin Flip

Flip a virtual coin for quick decisions. Uses cryptographic randomness for a fair 50/50 chance. Track your flip statistics over time. Runs entirely in your browser.

How to Use Coin Flip

  1. Click the Flip button to toss the virtual coin
  2. Watch the animation and see the result: Heads or Tails
  3. View your flip history and running statistics
  4. Flip multiple coins at once for probability experiments
  5. Reset the counter to start a new session

About Coin Flip

The coin flip is humanity's oldest randomization tool, used for millennia to make decisions, settle disputes, and explore probability. A fair coin has exactly 50/50 odds — making it the purest form of binary random choice. In statistics, coin flips are the textbook example of Bernoulli trials (independent events with two outcomes). Real coins aren't perfectly fair — a 2007 Stanford study showed slight bias toward the starting face due to physics — but virtual coin flips using cryptographic randomness are truly unbiased. Beyond decision-making, coin flips are used in sports (NFL kickoff), cryptography (bit commitment), and probability education. This simulator uses crypto.getRandomValues for true randomness and tracks statistics so you can observe the law of large numbers in action.

Frequently Asked Questions

Is this truly random?

Yes — it uses your browser's cryptographic random number generator (crypto.getRandomValues), which sources entropy from hardware events. This is more random than any physical coin.

Are real coins perfectly fair?

No. A 2007 Stanford study by Persi Diaconis found coins have a slight (~51%) bias toward the side facing up at the start of the flip. The bias comes from physics, not coin design. For practical purposes, it's negligible.

What's the probability of 10 heads in a row?

0.5^10 = 1/1024 ≈ 0.098%. Unlikely but not rare — in 1024 sequences of 10 flips, you'd expect one such streak. Each individual flip is still 50/50 regardless of previous results (gambler's fallacy).

Can I use this for important decisions?

For casual decisions (where to eat, who goes first), absolutely. For important decisions, consider that a coin flip can actually help — research shows that people assigned to 'make a change' by coin flip report higher happiness afterward.

What is the gambler's fallacy?

The mistaken belief that past random events affect future ones. After 5 heads, tails isn't 'due' — each flip is independent with 50/50 odds. The coin has no memory.

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