The Mechanism · Gated-generation receipt

gen-explain-conditional-probability-as-you-would-to-a-capable-st-1146

stable pending witness
2026-05-29 08:50:24 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain conditional probability as you would to a capable student, in 3-4 sentences.
84 chars

Generation

Conditional probability measures the likelihood of an event occurring given that another event has already happened. We write this as P(A|B), read as "the probability of A given B," and calculate it as P(A|B) = P(A and B)/P(B). Essentially, when we learn that B has occurred, we're narrowing our focus to only those outcomes where B is true, which changes the probability of A. For example, the probability of drawing an ace changes dramatically if you're told the card is red versus if you have no information at all.
27 tokens in · 123 tokens out · 4646 ms · $0.0019

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
4653.8 ms
Base LLM
4645.6 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0019

Trail

08:50:24 received prompt_chars=84 verifiers=['scripture_anchors', 'theology_doctrine']
08:50:24 red_gate decision=pass reason=no disqualifying input patterns detected
08:50:28 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=123 latency_ms=4645.6 cost_usd=0.0019
08:50:28 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:50:28 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:50:28 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:50:28 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:50:28 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:50:28 signed hash_algo=sha256 hash=sha256:17210731726032134e647dd0eff591bf4b262a0427807c7a4e80d9965b367741

Content hash

sha256:17210731726032134e647dd0eff591bf4b262a0427807c7a4e80d9965b367741

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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