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Probability and Decision Making

The math that separates guessing from solving.

Every guess is a bet. This hub makes the underlying probability explicit — expected information, candidate counting, and how to choose between a safe play and a high-value gamble.

What you will learn

  • Count remaining candidates accurately
  • Compare expected information across guesses
  • Decide when a riskier guess is worth it

Articles in this hub

The Science of Information Gain: From Theory to the Grid

A rigorous but accessible tour of information theory applied to Wordle — expected entropy, bits, and how to reason about them without a calculator.

Advanced · 14 min read

Problem Solving Under Uncertainty

A transferable framework for making good choices with incomplete information, illustrated through Wordle.

Intermediate · 11 min read

Wordle Decision Trees: Planning a Whole Game in Advance

Top solvers do not improvise guess by guess — they follow a branching plan. Learn how to build and read a decision tree for repeatable, low-variance play.

Advanced · 15 min read

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