Editing Openai/6939b23e-87cc-8001-bdd9-9546d1143ce9 (section)

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“probability (percentage to be the best option out of all options combined)”

This is slightly misleading. The probabilities represent:

“likelihood of the model selecting that token as next token”

—not strictly “best option,” just “next-token likelihood.”

Small wording fix.

===== You wrote: =====
“The Mathematician thinks that the king is fickle sometimes and it might chose bad options if too many options are shown to him.”

Not wrong, but top-p does not react to number of options—it reacts to low-confidence tail probability.
A tiny wording adjustment makes it mathematically precise.

===== The example itself is perfect, but adding one explicit sentence removes potential confusion: =====

Top-p never promotes low-ranked warriors, it only cuts from the bottom.

With those small corrections, I can present the polished version: