{"id":"counting-bloom-4bit-safe-at-capacity","text":"At designed capacity (n ≤ expected_items), the expected number of saturated 4-bit counters is effectively zero because the per-position load follows Poisson(ln 2 ≈ 0.693), making P(count ≥ 15) ≈ 10⁻¹⁵","truth_value":"IN","source":"entries/2026/05/29/topic-counter-saturation-probability.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"explanation":{"steps":[{"node":"counting-bloom-4bit-safe-at-capacity","truth_value":"IN","reason":"premise"}]}}