第 19253 題：弱大數律

原題與已知條件

IID通用證書、共同有限mean與variance及exact Chebyshev tail。操作=wlln-finite-simulation-boundary；資料={"mean":[2,3],"variance":[3,4],"epsilon":[1,4],"prefix_sample_means":[[3,4],[4,5],[5,6]],"iid_certificate":"finite_simulation_only"}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。

• G001 — IID通用證書、共同有限mean與variance及exact Chebyshev tail。操作=wlln-finite-simulation-boundary；資料={"mean":[2,3],"variance":[3,4],"epsilon":[1,4],"prefix_sample_means":[[3,4],[4,5],[5,6]],"iid_certificate":"finite_simulation_only"}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。

定義與適用範圍

沿用原題明示的論域、假設與來源 MKO 定義。本題已完成第二對話數理與中英語義覆核，並由原始參數逐題獨立重算模型、答案與每個算術步驟；原題仍為 candidate。

• mko-weak-law-large-numbers

逐步推導

source operation=wlln-finite-simulation-boundary;original snapshot and mathematics retained

explicit ordered source output fields=[mean, epsilon, prefix_sample_means, sufficient, boundary]

original declared mean=2/3;positive variance=3/4;epsilon=1/4;original finite prefix=[3/4, 4/5, 5/6];certificate=finite_simulation_only

finite simulation alone supplies NO whole-sequence IID premise or all-n probability tail;finite_simulation_not_IID_certificate_or_WLLN_proof

逐步反向核對

• S002 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S001 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。

結論

(2/3, 1/4, [3/4, 4/5, 5/6], 否, finite_simulation_not_IID_certificate_or_WLLN_proof)

依上列完整代值及條件核對得到原題答案；原題編號、格式與狀態保持不變。

本題覆核與來源綁定

覆核日期：2026-10-26

原題、答案、步驟表達式、數值 AST 與既有歷史保持原樣；原來的候選狀態屬於來源歷史，不覆寫為形式化證明。