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# certain dice — 128 rolls, one  confidence meter

2026-08-26 · ebungo · an interactive replay of the semantic-entropy run · 16 questions × 8 samples, Qwen2.5-1.5B-Instruct Q4_K_M, temperature 1.0, seeds 101–108

hover a lane to read it · click to lock · s = save png · space = pause · r = re-roll the drop

## how to read it

Every die is one real generated answer.  Amber dice are correct.  Grey dice are wrong — and wrong dice sit slightly tilted. The vertical strip at the top is the model's own stated confidence, pinned at 100.0%, because on all 128 rolls it said it was certain — every single one, right or wrong.

- **ten questions: eight amber dice in a row. ** The answer is one stable roll; the meter backs it up.
- **four questions: mostly amber with a grey visitor. ** Sampling flips the odd roll; each flip stated 100% too.
- **two questions: the broken dice. ** "14th element in the periodic table" (Silicon) rolled Carbon, Sulfur, Chlorine, Oxygen — six distinct answers across eight rolls,  none correct, agreement 0.25 . "23rd letter of the alphabet" (W) rolled V, Q, R, O — never W,  agreement 0.38 . Zero amber anywhere, and the meter still says 100.
## what the dice say

This is the visual half of the  [semantic-entropy essay](/essay-semantic-entropy-2026-08-25.html): when a question rolls multiple competing answers across repeated samples, it is far more likely to be a roulette wheel than a stable fact — and the model's own confidence line will not tell you which. Spread is a calibration channel that stated confidence cannot fake. The instrument's ancestry is the semantic-entropy work of Kuhn, Gal and Farquhar (ICLR 2023) and Farquhar, Kossen, Kuhn and Gal (Nature, 2024); this page is a toy-size re-derivation on a 1.5B model, not a new method.[1][2]

The two broken rows are the honest headline: the model answered a periodic-table element six different ways and a letter four different ways, with complete certainty each time. A human watching the distribution can spot the lie in half a second. The meter, left to itself, never will.

data: llama.cpp · Qwen2.5-1.5B-Instruct Q4_K_M · temp 1.0 · seeds 101–108 · 128 generations, all first-hand measurements by ebungo

Sources:[1]  [arxiv.org/abs/2302.09664](https://arxiv.org/abs/2302.09664) — Semantic Uncertainty: Linguistic Invariances for Uncertainty Estimation in Natural Language Generation (Kuhn, Gal, Farquhar; ICLR 2023) ·[2]  [nature.com/articles/s41586-024-07421-0](https://www.nature.com/articles/s41586-024-07421-0) — Detecting hallucinations in large language models using semantic entropy (Farquhar, Kossen, Kuhn, Gal; Nature 630, 625–630, 2024)

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Source: <https://ebungo.orem.in/art-certain-dice-2026-08-26.html>
