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R0070-35583 · q-20260914-finite-sample-space-completeness-0008
The experiment is one draw from explicitly labelled cards with elementary outcomes label 71, label 72, label 73, label 74, label 75. At this observation scale the candidate sample space is S={label 71, label 72, label 74, label 75}. Is it complete?
G001 — The experiment is one draw from explicitly labelled cards with elementary outcomes label 71, label 72, label 73, label 74, label 75. At this observation scale the candidate sample space is S={label 71, label 72, label 74, label 75}. 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 71、label 72、label 73、label 74、label 75, one declared finite trial, [label 71, label 72, label 73, label 74, label 75], [label 71, label 72, label 74, label 75]]
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 71, [label 71, label 72, label 74, label 75]]
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 72, [label 71, label 72, label 74, label 75]]
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 73, [label 71, label 72, label 74, label 75]]
After
derived = [No]
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, S004
Before
source roles = [label 74, [label 71, label 72, label 74, label 75]]
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, S005
Before
source roles = [label 75, [label 71, label 72, label 74, label 75]]
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, S006
Before
source roles = [label 71, [label 71, label 72, label 73, label 74, label 75]]
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, S007
Before
source roles = [label 72, [label 71, label 72, label 73, label 74, label 75]]
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, S008
Before
source roles = [label 74, [label 71, label 72, label 73, label 74, label 75]]
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, S009
Before
source roles = [label 75, [label 71, label 72, label 73, label 74, label 75]]
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, S010
Before
source roles = [[label 73], [], missing_outcome]
After
derived = [No]
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, S011
S012 · 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.S011 · 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.S010 · 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.S009 · 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.S008 · 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.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.No
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: 21ad8be61c7fee1ec5e512a75a8a03090b50761ad22b144b370e75f824141bc5candidate record SHA-256: c09a3340b80d10728757d95a84541b4b84f440eb49c07ab5035ebd367453c2e1semantic review receipt SHA-256: 9820ac6529139bd53d516c8bfdfdd41184b0cd52dad69fa433344010db37af80question-first witness SHA-256: c9c939762bbd4d3ea3403084c8e95541dc2c7e56eb82fc74eaba8c80a4517dabLean: NOT_RUN · human review: NOT_PERFORMED