Question 28352: Event Probability with Explicit Equiprobability

Original question and givens

The nonempty finite sample space is S={-11, -10, -9} and the event family is F=𝒫(S). All elementary outcomes are explicitly equiprobable. For E={-11, -10, -9}, find P(E) exactly as a reduced fraction with positive denominator.

• G001 — The nonempty finite sample space is S={-11, -10, -9} and the event family is F=𝒫(S). All elementary outcomes are explicitly equiprobable. For E={-11, -10, -9}, find P(E) exactly as a reduced fraction with positive denominator.

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-probability

Step-by-step derivation

source roles = [qf-probability-uniform-event, uniform_event]

derived = [[reduced_probability_fraction_retaining_integer_denominator1]]

source roles = [[-11, -10, -9], powerset(S)]

derived = [[-11, -10, -9], 3]

Legacy uniform ORIGINAL event count over carrier count := div(3, 3)

Legacy uniform ORIGINAL event count over carrier count = 1

source roles = [[-11, -10, -9], [-11, -10, -9], Yes]

derived = [1/1]

Reverse checks

• S004 · premise_and_result_audit — Reverse-check complete original data,operands and premises;finite checks,conditional reasoning,formal proof and publication authority remain distinct.
• S003 · premise_and_result_audit — Recompute Legacy uniform ORIGINAL event count over carrier count with exact rational arithmetic, not rounded decimals.
• S002 · premise_and_result_audit — Reverse-check complete original data,operands and premises;finite checks,conditional reasoning,formal proof and publication authority remain distinct.
• S001 · premise_and_result_audit — Reverse-check complete original data,operands and premises;finite checks,conditional reasoning,formal proof and publication authority remain distinct.

Result

1/1

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.