Question 35581: Completeness of a Finite Sample Space

Original question and givens

The experiment is one draw from explicitly labelled cards with elementary outcomes label 51, label 52, label 53. At this observation scale the candidate sample space is S={label 51, label 52, label 53, outcome outside this experiment 6}. Is it complete?

• G001 — The experiment is one draw from explicitly labelled cards with elementary outcomes label 51, label 52, label 53. At this observation scale the candidate sample space is S={label 51, label 52, label 53, outcome outside this experiment 6}. 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 51、label 52、label 53, one declared finite trial, [label 51, label 52, label 53], [label 51, label 52, label 53, not an outcome of this experiment 6]]

derived = [completeness only]

source roles = [label 51, [label 51, label 52, label 53, not an outcome of this experiment 6]]

derived = [Yes]

source roles = [label 52, [label 51, label 52, label 53, not an outcome of this experiment 6]]

derived = [Yes]

source roles = [label 53, [label 51, label 52, label 53, not an outcome of this experiment 6]]

derived = [Yes]

source roles = [label 51, [label 51, label 52, label 53]]

derived = [Yes]

source roles = [label 52, [label 51, label 52, label 53]]

derived = [Yes]

source roles = [label 53, [label 51, label 52, label 53]]

derived = [Yes]

source roles = [not an outcome of this experiment 6, [label 51, label 52, label 53]]

derived = [No]

source roles = [[], [not an outcome of this experiment 6], extra_outcome]

derived = [No]

Reverse checks

• 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.