Paul Heinz

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Filtering by Tag: methods

WORDLE STRATEGIES

My daughter introduced me to Wordle last week, and in short order I determined that it was probably best to have a strategy or at least consciously choose how I want to play the game going forward. Others have undoubtedly already done this work, but I thought it would be a fun mental exercise to try to come up with the most efficient and successful methods.

To help make these decisions, I thought it best to learn what the 20 most-used letters are in the English language in order of usage. They are:

E A R I O T N S L C U D P M H G B F Y W

(NOTE: an even better bit of information would be to discover the most-used letters in five-letter words, but I’m not sure how to find this information.)

OPENING WORDS

For starters, it might make sense to guess a word that uses as many of the top-five letters as possible.  The word I came up with is RATIO, which is comprised of four of the top-five letters (A R I and O), and also the sixth (T), leaving out only E. Certainly, there are times when none of these letters will be helpful, but if you’re playing the odds, it might be a good method to follow.

Another possible first word might be one with as many highly-used consonants as possible, since vowels might not be as helpful in guessing a word. STERN would likely be a good one, as it uses the four most highly used consonants, plus the most popular vowel.

STRATEGY #1

It seems to me that the most “honest” approach to solving Wordle is to guess an initial word and then use any letters that you’ve guessed correctly in each subsequent guess. For example, if you guessed the word RATIO and Wordle tells you that the A is in the correct place and that there is a T in the word, your second guess would have to keep the A in the second position and use a T somewhere in the word. So perhaps I would guess TAMED for my second entry. This strategy certainly poses challenging scenarios, as sometimes it’s very difficult to come up with a word that uses the correctly-guessed letters, especially after three or more guesses. But that’s not how the game works; Wordle doesn’t force you to use letters that you’ve guessed correctly in subsequent guesses, which opens up the following very interesting scenarios.

STRATEGY #2

Even if I stand firm on using the word RATIO as my first guess, it might now make sense to ignore whatever letters I may or may not guess correctly in my first word and now use as many of the remaining top-ten letters as possible. I can do this by entering the word CLUES as my second guess. The words RATIO and CLUES will use up nine of the top ten most-used letters, substituting U – the 11th most-used letter – for N, so it employs ten of the top eleven letters. If I don’t get the results I’m looking for, a good third guess might be the word HANDY, which uses A once again, but now adds the heretofore unused H, N, D and Y, that latter of which is often a sneaky overlooked vowel in words like CYNIC.

Starting with RATIO, then CLUES and then HANDY, if necessary, might be a good strategy, but it doesn’t use the top fifteen letters; it uses 13 of the top 15 letters, plus Y (and A twice). There might be a better way.

STRATEGY #3

What about trying to use all of the top-15 letters in the first three guesses, regardless of how many letters you guess correctly? If I were to apply this scenario, I could guess the words MENUS, CHARD and PILOT. All fifteen top-15 letters are used. I wouldn’t worry about what letters I guessed correctly in my first two guesses; I’d simply enter these three words and then spend guesses four through six on getting the correct word.

STRATEGY #4

Finally, I might decide that I really want to include the letter Y in one of my first three guesses, since this letter can often be used as a vowel. In this case, I might enter the following words: PRICE, LUSTY and MANGO, which encompasses 13 of the top 15 letters, plus G and Y in place of D and H.

THE HYPOTHESIS

There may be two objectives in determining which strategy to employ: the one that’s most successful and the one that’s most challenging, as sometimes it’s good to make the brain work hard. I believe STRATEGY #1 will be the most challenging, but my guess is STRATEGY #3 will probably be the most successful.

To find out, I’m going to play five games of Wordle using all four methods (plus an additional attempt at Strategy 1 using a different word). Sure, the results won’t be statistically significant, but it’ll be at least a clue into how best to approach the game.

THE RESULTS

I played twenty-five Wordle games, and given my limitation as a wordsmith, here are the results:

Strategy 1A (Starting with RATIO and sticking with correctly-guessed letters) is definitely the hardest, as expected. I got four of five words, but it took a long while, ranging from 100 seconds to over seven minutes (yeah, I know. I was stumped). Now, this strategy may work for someone who’s very quick and clever with words, but for me this didn’t work.

Strategy 1B (Starting with STERN and sticking with correctly-guessed letters) had better results. I got four of five words again, but my times were quicker: from 55 seconds to just over two minutes.

Strategy 2 (Starting with RATIO and CLUES) was very quick when it worked, but it only worked 3 of 5 times. When I guessed correctly, my times ranged from twenty-one seconds to a bit under two minutes. 

Strategy 3 (Starting with MENUS, CHARD and PILOT) was the most successful. I got all five correct – three of them in four turns, which is of course the fewest turns this strategy allows. Additionally, my times were pretty good, with three under a minute, one at 90 seconds, and one that took just over three minutes (and shouldn’t have taken that long. I was being dim.)

Strategy 4 (Starting with PRICE, MANGO and LUSTY) worked pretty well, but not as successfully at Strategy 3. I got four of five correct, ranging from 33 seconds to just under three minutes.

CONCLUSIONS

So which method is best?  In terms of brainpower, I think I would go with Strategy 1A: use RATIO as my first guess and then use any correctly-guessed letters ongoing. If I don’t want to exert myself quite so much, STERN would probably be a better bet.

For speed and wins, Strategy 3 (Starting with MENUS, CHARD and PILOT) appears to be best, though I only tested the methods five times. It may be that strategies 2 or 4 are better over the long haul.

Of course, there are words that will be a challenge regardless of strategy, and sometimes I come upon a word that I simply don’t know. I imagine other players employ slightly different methods for solving their puzzles, but having a strategy is probably a better bet than just winging it.

I’ll likely immerse myself in Wordle for a week or two and then go back to my dreaded crossword puzzles, an art form that I will never remotely master.

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