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R0070-35576 · q-20260914-finite-sample-space-completeness-0001
The experiment is one draw from explicitly labelled cards with elementary outcomes label 1, label 2. At this observation scale the candidate sample space is S={label 1, label 2}. Is it complete?
G001 — The experiment is one draw from explicitly labelled cards with elementary outcomes label 1, label 2. At this observation scale the candidate sample space is S={label 1, label 2}. Is it complete?Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.
Before
source roles = [qf-finite-sample-space-completeness, [expected_outcomes, experiment, listed_outcomes, mode, observation_scale]]
After
derived = [sample, null, null]
Conditions: none
Use THIS bank’s actual fields,operation/domain and types.BASE retains permissible extra metadata.Do not import LDL SAFE/set limits or a different bank’s deduplication rules.
Rule: R70_SOURCE_bank_specific_interface · Uses: G001
Before
source roles = [one reading of the declared labelled cards label 1、label 2, one declared finite trial, [label 1, label 2], [label 1, label 2]]
After
derived = [completeness only]
Conditions: none
A is GIVEN as the COMPLETE elementary-outcome list at the declared observation scale.Check whether B is exactly A;do not infer the universe from partial observations or assign equal likelihood/probabilities.
Rule: Sample_GIVEN_complete_elementary_outcomes_at_declared_scale · Uses: G001, S001
Before
source roles = [label 1, [label 1, label 2]]
After
derived = [Yes]
Conditions: none
Check EACH required outcome for inclusion;all listed outcomes being legal does not rule out a missing one.
Rule: Sample_EACH_expected_outcome_is_listed · Uses: G001, S002
Before
source roles = [label 2, [label 1, label 2]]
After
derived = [Yes]
Conditions: none
Check EACH required outcome for inclusion;all listed outcomes being legal does not rule out a missing one.
Rule: Sample_EACH_expected_outcome_is_listed · Uses: G001, S003
Before
source roles = [label 1, [label 1, label 2]]
After
derived = [Yes]
Conditions: none
Check EACH listed outcome against the GIVEN universe;absence of omissions does not rule out impossible extras.
Rule: Sample_EACH_listed_outcome_is_possible · Uses: G001, S004
Before
source roles = [label 2, [label 1, label 2]]
After
derived = [Yes]
Conditions: none
Check EACH listed outcome against the GIVEN universe;absence of omissions does not rule out impossible extras.
Rule: Sample_EACH_listed_outcome_is_possible · Uses: G001, S005
Before
source roles = [[], [], complete]
After
derived = [Yes]
Conditions: none
Completeness requires BOTH inclusions.If both omissions and extras occur,the answer remains No;the source mode prioritizes omissions.Check mode only AFTER set comparison.
Rule: Sample_BOTH_inclusions_and_postderived_mode · Uses: G001, S006
S007 · premise_and_result_audit — Reverse-audit THIS question’s original operands,roles and necessary premises;reconstruct the next step,without reversing a one-way implication.Numerical/finite-table checking is not formal proof of an arbitrary theorem.Original Q,bilingual sources,MKO,AST,status and history remain preserved.S006 · premise_and_result_audit — Reverse-audit THIS question’s original operands,roles and necessary premises;reconstruct the next step,without reversing a one-way implication.Numerical/finite-table checking is not formal proof of an arbitrary theorem.Original Q,bilingual sources,MKO,AST,status and history remain preserved.S005 · premise_and_result_audit — Reverse-audit THIS question’s original operands,roles and necessary premises;reconstruct the next step,without reversing a one-way implication.Numerical/finite-table checking is not formal proof of an arbitrary theorem.Original Q,bilingual sources,MKO,AST,status and history remain preserved.S004 · premise_and_result_audit — Reverse-audit THIS question’s original operands,roles and necessary premises;reconstruct the next step,without reversing a one-way implication.Numerical/finite-table checking is not formal proof of an arbitrary theorem.Original Q,bilingual sources,MKO,AST,status and history remain preserved.S003 · premise_and_result_audit — Reverse-audit THIS question’s original operands,roles and necessary premises;reconstruct the next step,without reversing a one-way implication.Numerical/finite-table checking is not formal proof of an arbitrary theorem.Original Q,bilingual sources,MKO,AST,status and history remain preserved.S002 · premise_and_result_audit — Reverse-audit THIS question’s original operands,roles and necessary premises;reconstruct the next step,without reversing a one-way implication.Numerical/finite-table checking is not formal proof of an arbitrary theorem.Original Q,bilingual sources,MKO,AST,status and history remain preserved.S001 · premise_and_result_audit — Reverse-audit THIS question’s original operands,roles and necessary premises;reconstruct the next step,without reversing a one-way implication.Numerical/finite-table checking is not formal proof of an arbitrary theorem.Original Q,bilingual sources,MKO,AST,status and history remain preserved.Yes
The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.
Review date: 2026-10-26
Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.
input commit: 0f7be61e2c22317a4075561dc822c87d881a50dboriginal question SHA-256: 2ce50bbd61471b967a5b8fb4c286eb788ed9ad13ec38a7213cfbdfe2e9374bcccandidate record SHA-256: 090b531d690525775920f747aaf87562cb5e2475652c9ac45367ec9dd37ae663semantic review receipt SHA-256: 9820ac6529139bd53d516c8bfdfdd41184b0cd52dad69fa433344010db37af80question-first witness SHA-256: c9c939762bbd4d3ea3403084c8e95541dc2c7e56eb82fc74eaba8c80a4517dabLean: NOT_RUN · human review: NOT_PERFORMED