Question 4995: Recording Codes and Outcome Fibers

Original question and givens

Elementary outcomes are Fin(4)={0,…,3}, with recording=[-19, 0, -19, 19] in original index order. Give (increasing distinct recording codes, aligned original-index fiber lists), sorting each fiber increasingly.

• G001 — Elementary outcomes are Fin(4)={0,…,3}, with recording=[-19, 0, -19, 19] in original index order. Give (increasing distinct recording codes, aligned original-index fiber lists), sorting each fiber increasingly.

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

explicit finite possible-outcome protocol

no probability law,equiprobability or independence inferred

original outcome index=0∈[0, 1, 2, 3]

recorded code=-19

original outcome index=1∈[0, 1, 2, 3]

recorded code=0

original outcome index=2∈[0, 1, 2, 3]

recorded code=-19

original outcome index=3∈[0, 1, 2, 3]

recorded code=19

recorded code=-19

[0, 2]

recorded code=0

[1]

recorded code=19

[3]

Reverse checks

• S008 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S007 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S006 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S005 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S004 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S003 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S002 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S001 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.

Result

([-19, 0, 19], [[0, 2], [1], [3]])

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.