Random Answers

Random letter generator

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One outcome in 26

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Local · one in twenty-six, each

Each of the twenty-six letters has exactly a one in twenty-six chance. Draw one, or draw a handful at once for a game, a prompt or a naming scheme.

How to draw random letters

1 Press the button for a single letter.
2 Raise the count to draw several at once.
3 Use a seed if you need the same letters again later.

Even weighting is the thing to be aware of, because it is nothing like how letters behave in English. Peter Norvig’s count over 743.8 billion words of the Google Books corpus puts E at 12.49% of all letters and Z at 0.09%, so in real text E is about a hundred and forty times commoner. An even draw is therefore the wrong tool for anything meant to look like a word, and exactly the right one for anything meant to be impartial.

Starting letters are a different distribution again

This catches people out when they draw a letter to name something. The letters that begin words are not the letters that fill them. Norvig’s figures put T, A and O at the front of the word-initial list, while E, the commonest letter in the language overall, is roughly four times rarer at the start of a word than it is elsewhere. Draw an E as an opening letter and you have asked for something genuinely harder than the frequency table suggests.

If you are here for Scattergories

The boxed game does not use twenty-six letters. Its die has twenty faces and leaves out Q, U, V, X, Y and Z, on the grounds that too few common words start with them for a round to be playable. Drawing from the full alphabet here gives you a harder game than the one in the box, which is fine if everyone knows, and unfair if only the person pressing the button does.

Repeats inside a batch are ordinary rather than a fault. Each letter is drawn independently, so a draw of five contains at least one repeat about a third of the time. If you need five different letters, draw again rather than assuming the generator is stuck.

What people use it for

  • Calling the letter for a round of Scattergories
  • Setting a drawing or writing prompt fixed to one letter
  • Picking a starting letter for a name or a naming scheme
  • Choosing at random among options already lettered A to Z
  • Drawing letters for a spelling or phonics exercise

Questions

Yes, one in twenty-six each. That is deliberately unlike English text, where E is about a hundred and forty times commoner than Z.

MDN, Crypto.getRandomValues()Norvig, English Letter Frequency Counts: Mayzner Revisited
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