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Coin flip

Everyday

Heads or tails?

Flip a fair coin, once or many times, and settle it.

Draw

Coin

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Flip a fair coin, once or many times, and settle it.

How to use

  1. Choose Numbers or Coin.
  2. For numbers, enter the smallest and the largest number you would accept, both included.
  3. Open the extra settings to draw several numbers, forbid repeats or sort the list.
  4. Press Draw again for a fresh draw, then copy the result.

How it works

Every number between your limits is equally likely, and each draw is independent of the one before. Your device's built-in secure random generator supplies the randomness, the same one used for encryption keys, so nobody can predict or steer the result.

Making the draw exactly fair takes care. Squeezing a large random value into a smaller range with a plain remainder favours the low numbers a little. This tool throws away the few values that would cause that, so a range of 1 to 6 gives each number exactly one chance in six (Lemire, ACM Transactions on Modeling and Computer Simulation, 2019).

Without repeats, the numbers are dealt like cards from a shuffled deck, using the Fisher–Yates shuffle (Knuth, The Art of Computer Programming, vol. 2): every possible ordered selection is equally likely. A coin flip is a draw between two values, so heads and tails each have a one in two chance.

The result is made in your browser and never sent anywhere. It is not part of the shared link, so a link repeats your settings, not your numbers.

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