Question 6051: Typed Observations, Event Occurrence, and First Hit

Original question and givens

S=Fin(1)={0,…,0}; the event family is explicitly F=P(S). E=[], ordered outcomes=[]. Give (sample-eligibility mask, True/False/invalid-outcome occurrence list, first legal E hit’s zero-based index or none).

• G001 — S=Fin(1)={0,…,0}; the event family is explicitly F=P(S). E=[], ordered outcomes=[]. Give (sample-eligibility mask, True/False/invalid-outcome occurrence list, first legal E hit’s zero-based index or none).

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-event

Step-by-step derivation

S=Fin(1)=[0];declared event model=full_powerset

finite S alone does not specify its event family or a probability law

legal event hits among ordered candidates;E=[]

first hit position=none

Reverse checks

• 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

([], [], none)

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.