Question 35590: Completeness of a Finite Sample Space

Original question and givens

The experiment is one draw from explicitly labelled cards with elementary outcomes label 141, label 142, label 143, label 144. At this observation scale the candidate sample space is S={label 141, label 142, label 143, label 144, outcome outside this experiment 15}. Is it complete?

• G001 — The experiment is one draw from explicitly labelled cards with elementary outcomes label 141, label 142, label 143, label 144. At this observation scale the candidate sample space is S={label 141, label 142, label 143, label 144, outcome outside this experiment 15}. Is it complete?

Definition and scope

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.

• mko-sample-space

Step-by-step derivation

source roles = [qf-finite-sample-space-completeness, [expected_outcomes, experiment, listed_outcomes, mode, observation_scale]]

derived = [sample, null, null]

source roles = [one reading of the declared labelled cards label 141、label 142、label 143、label 144, one declared finite trial, [label 141, label 142, label 143, label 144], [label 141, label 142, label 143, label 144, not an outcome of this experiment 15]]

derived = [completeness only]

source roles = [label 141, [label 141, label 142, label 143, label 144, not an outcome of this experiment 15]]

derived = [Yes]

source roles = [label 142, [label 141, label 142, label 143, label 144, not an outcome of this experiment 15]]

derived = [Yes]

source roles = [label 143, [label 141, label 142, label 143, label 144, not an outcome of this experiment 15]]

derived = [Yes]

source roles = [label 144, [label 141, label 142, label 143, label 144, not an outcome of this experiment 15]]

derived = [Yes]

source roles = [label 141, [label 141, label 142, label 143, label 144]]

derived = [Yes]

source roles = [label 142, [label 141, label 142, label 143, label 144]]

derived = [Yes]

source roles = [label 143, [label 141, label 142, label 143, label 144]]

derived = [Yes]

source roles = [label 144, [label 141, label 142, label 143, label 144]]

derived = [Yes]

source roles = [not an outcome of this experiment 15, [label 141, label 142, label 143, label 144]]

derived = [No]

source roles = [[], [not an outcome of this experiment 15], extra_outcome]

derived = [No]

Reverse checks

• 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.

Result

No

The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.

This question review and source binding

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.