Hangman strategy
Two different problems live inside this game. Guessing well is about letter frequency and word shape. Choosing well is about denying the guesser both. Here is each side, with numbers taken from this site's own 1792 words.
Which letters to open with
The chart is the share of all letters in our word list. The list underneath is more useful: how often each letter appears somewhere in a word, which is what you are really betting on.
Appears in at least one position of…
Guessing: the order that actually works
Open with E and A. They appear in more words than anything else and either one landing gives you the shape of the word rather than just a letter.
Then stop guessing vowels. The common mistake is to clear all five before touching a consonant, and U in particular is a poor bet: it turns up in far fewer words than R, T, S or N. Once you have E and A, the useful guesses are consonants.
After three or four letters, stop counting frequency and start reading the pattern. A word ending in a revealed E with a blank before it is very often -LE, -SE or -RE. A double blank in the middle with vowels either side is usually a common consonant pair. At that point the letters in front of you are worth more than any table.
Use the length before you use a letter
The number of dashes is information you get for free and most guessers ignore. Three and four letter words are dominated by a small set of shapes. Words over ten letters are almost always built from ordinary letters, so an opening of E, A, I, O, N, R will usually land several times.
It follows that a long word is the easier problem. If you are staring at fourteen blanks, relax; if you are staring at four, be careful.
Choosing: how to actually be difficult
Everything above tells you what to deny. A word that beats a competent guesser has a low share of the letters E T A O I N S R, few vowels, and no repeated letter to reveal two positions at once. One rare letter helps, but it is the common letters being absent that does the work.
Notice what is not on that list: how unusual the word is. Obscurity only matters in the last moment, when a guesser has most of the letters and has to recognise the word. Everything before that is decided by spelling, which is why the hard list here is full of ordinary words and short on exotic ones.
If you want the formula rather than the principle, it is on the methodology page, and the create page scores your word as you type it.
When you are properly stuck
Count what is left. If you have a pattern and four or five wrong letters marked off, the field is usually far smaller than it feels, and the right guess is the letter that appears in about half of the remaining candidates rather than the one that is commonest overall.
That is exactly what the solver computes, and it is worth running once or twice just to see how quickly a few marked-off letters cut the field.
One correction to everything above
The frequencies on this page come from our own word lists, which are words a person would plausibly pick. Run the same count over a full 344,000-word dictionary and something changes: E is not the best opening for short words at all. For three, four and five letter words A beats it, and E only takes the lead from six letters upward.
That table is on the best first guess page, computed per length. If you take one thing from this page, take that one: count the blanks before you open.
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Questions
What is the best letter to guess first in hangman?
E. Across the 1792 words on this site it appears in 60% of them, more than any other letter. A, then R or I, are the usual follow-ups.
Should you guess vowels first in hangman?
Mostly yes, but not all of them. E and A are worth guessing almost always. U is not: it appears in far fewer words than several consonants, and spending a guess on it early is a common mistake.
What is the hardest word to guess in hangman?
Short words made of letters nobody opens with. On this site the hardest are four and five letter words with no common letters at all, which beat much longer and stranger words because the standard opening simply misses them.
How do you win hangman as the person choosing?
Pick a word the opening cannot touch: few vowels, no repeated letters, and at least one letter people try late. Length is not the lever people think it is, because a long word gives more away with every hit.
Does knowing the category help?
A great deal, and more than most people expect. It lets a guesser use meaning as well as letters, so a partly revealed word narrows to a handful of options. That is why announcing the category is the simplest way to make a hard round fair.