Let S={25, 26, 27} and F=P(S). 25 is a single outcome, while {25} is an event. Is the role of 25 “event set”?
G001 — Let S={25, 26, 27} and F=P(S). 25 is a single outcome, while {25} is an event. Is the role of 25 “event set”?
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.
Check THIS bank’s keys/operation/domain:legacy table underscores,MOD50 local hyphens;permissive BASE data acquires no unknown-field restriction.Keep Number.isInteger and SAFE source guards distinct,while preserving ORIGINAL JSON number representations.
The COMPLETE declared sample is S with F=P(S);x is an element of S and E={x} is an event.BASE integers acquire no invented SAFE or100-item cap.Type EVERY raw element and reject duplicate set labels.
In THIS model,x is the single OUTCOME LABEL;{x} is the EVENT SET of outcomes.Keep x∈S distinct from E⊆S.This is a role distinction,not a universal set-theoretic claim that numbers cannot be sets.No probability is assigned.
S003 · premise_and_result_audit — Reverse-audit THIS step against the ORIGINAL roles,complete premises and field order.Distinguish implication from equivalence;preserve originals,English,MKOs,ASTs and review states.Finite checks are not independent review or general formal proof.
S002 · premise_and_result_audit — Reverse-audit THIS step against the ORIGINAL roles,complete premises and field order.Distinguish implication from equivalence;preserve originals,English,MKOs,ASTs and review states.Finite checks are not independent review or general formal proof.
S001 · premise_and_result_audit — Reverse-audit THIS step against the ORIGINAL roles,complete premises and field order.Distinguish implication from equivalence;preserve originals,English,MKOs,ASTs and review states.Finite checks are not independent review or general formal proof.
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.