A Wordle analyzer evaluates your guesses by calculating Shannon entropy, bits of information gained, and remaining candidate words. Unlike a live solver, an analyzer grades guess efficiency retrospectively, identifying suboptimal letter choices, hard mode traps, and mathematically superior opening words like SLATE or CRANE.
The Mathematics of Wordle: Shannon Entropy Explained
Every day, millions of players tackle the New York Times Wordle puzzle with different instincts. Some players swear by vowel-heavy openers like ADIEU; others stick with trusty combinations like STARE, AUDIO, or ROAST. But behind the friendly green and yellow tiles lies a rigorous mathematical branch of computer science known as Information Theory.
When you submit a five-letter word in Wordle, the game returns one of 243 possible color patterns (since each of the 5 tiles can be Green, Yellow, or Gray: 35 = 243). A weak guess dumps most remaining solutions into a single large bucket. A mathematically optimal guess divides the remaining words as evenly as possible across all 243 buckets. Claude Shannon defined this metric in 1948 as Information Entropy, measured in bits:
The higher the entropy value (measured in bits), the more uncertainty the guess destroys. A starting word that delivers 5.8 bits of entropy cuts the initial 2,309 solution candidates down to an average of just 40 to 60 remaining words in a single move.
Comparing the Best Wordle Starting Words
Here is how the most famous Wordle opening words rank when tested against the official solution dictionary using full algorithmic simulation:
| Starting Word | Expected Information (Bits) | Avg Words Remaining (Turn 1) | Avg Game Win Turns |
|---|---|---|---|
| SALET | 5.836 bits | 59.8 words | 3.421 |
| CRANE | 5.742 bits | 64.2 words | 3.432 |
| SLATE | 5.856 bits | 61.0 words | 3.428 |
| TRACE | 5.830 bits | 62.5 words | 3.435 |
| ROAST | 5.658 bits | 72.1 words | 3.489 |
| ADIEU | 4.921 bits | 124.7 words | 3.680 |
The Vowel Fallacy: Why ADIEU is Suboptimal
The most common trap among casual Wordle players is over-indexing on vowels. Words like ADIEU or AUDIO test 4 vowels immediately. However, virtually every 5-letter English word contains at least one or two vowels (A, E, I, O, U).
Knowing that the secret word contains an ‘E’ tells you very little, because nearly half of all Wordle answers contain ‘E’. What truly pinpoints the word are the high-frequency distinguishing consonants: R, S, T, L, N, C, D. An opener like SLATE or CRANE tests vital vowels while simultaneously screening the most decisive consonants in the English language.
Turn 2 Strategy: To Solve or To Explore?
One of the most valuable insights provided by a Wordle analyzer is how to play Turn 2. When players receive two green tiles on Turn 1, the natural instinct is to immediately guess a word that fits those greens.
An analyzer frequently flags this as a tactical mistake. If there are still 45 potential candidate words, guessing one specific candidate gives you only a 2.2% chance of winning on Turn 2, but leaves 44 possible words untouched if wrong.
Instead, the top computer solvers recommend playing an exploratory word(often called a ‘burner’ word) that doesn't even use the green letters, but instead tests 5 completely unrevealed letters. This single move reliably cuts the pool from 45 candidates down to 1 or 2, guaranteeing a victory on Turn 3.
Hard Mode vs Regular Mode Dynamics
In Wordle Regular Mode, you are completely free to submit exploratory words. In Hard Mode, however, the rules enforce that any revealed green letter must remain in place, and any yellow letter must be included in subsequent attempts.
This creates catastrophic traps in rhyming patterns. Consider the pattern _IGHT:
- Candidate solutions: FIGHT, LIGHT, MIGHT, NIGHT, RIGHT, SIGHT, TIGHT, WIGHT.
- In Hard Mode, if you guess FIGHT, you are locked into testing one initial consonant per turn. With 8 possibilities and only 5 remaining turns, loss is mathematically unavoidable.
- In Regular Mode, an analyzer recommends playing a burner word like
PLWMSorFORMSto eliminate multiple leading consonants in a single stroke.