Millions of people open Wordle each day hoping to solve its five-letter puzzle before their six guesses run out. Now, researchers at Binghamton University, State University of New York, say mathematics can dramatically improve the odds. By applying information theory, the team developed a strategy that solved 99% of Wordle puzzles in simulations.
The key is surprisingly counterintuitive. Instead of always trying to guess the answer as quickly as possible, the method favors words that reveal the greatest amount of useful information. How Wordle Turns Every Guess Into a Clue Wordle gives players six attempts to identify a hidden five-letter word.
The game begins with no clues, so the first guess can be any valid word. After each attempt, Wordle uses colors to show how close the player is: Players use those clues to narrow the possibilities with each new guess. The game ends when all five squares turn green or when the player uses all six attempts without finding the answer.
That process of progressively reducing possible answers makes Wordle a natural problem for information theory, a branch of mathematics concerned with measuring and communicating information. The research team, led by Assistant Professor Congyu "Peter" Wu, focused on a concept known as Shannon entropy. Shannon entropy is a mathematical way of measuring uncertainty.
In simple terms, it can help determine how much useful information a particular choice is expected to reveal. The concept was developed as part of modern information theory and is widely used to study how efficiently information can be transmitted, stored, or processed. In Wordle, that means asking a different question.
Instead of simply choosing the word that seems most likely to be correct, the researchers looked for guesses that would eliminate the greatest number of possibilities. "Let's say you're at a certain guess. The previous guesses will eliminate a whole bunch of options, and based on the remaining options, guessing some words will send you into a trajectory where information gain is speedier," said Wu, a faculty member at the Thomas J.
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