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R0008-04948 · q-20261008-advance-20261011-r06-sample-space-0023
First-stage outcomes A=[-22, 22], second-stage outcomes B=[-1, 0, 23]; every pair is allowed. Normalize and sort each axis, then list all ordered pairs with A as the outer loop and B as the inner loop.
G001 — First-stage outcomes A=[-22, 22], second-stage outcomes B=[-1, 0, 23]; every pair is allowed. Normalize and sort each axis, then list all ordered pairs with A as the outer loop and B as the inner loop.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.
Before
explicit finite possible-outcome protocol
After
no probability law,equiprobability or independence inferred
Conditions: none
These tasks list possible outcomes,recordings or event membership without assigning probabilities.All combinations being possible does not imply equiprobability or independence.
Rule: possible_outcomes_not_probabilities · Uses: G001
Before
first-stage outcome=-22;second-stage outcome=-1
After
[-22, -1]
Conditions: none
Enumerate with A as the outer loop and B as the inner loop;stage order matters.
Rule: ordered_outcome_pair · Uses: G001, S001
Before
first-stage outcome=-22;second-stage outcome=0
After
[-22, 0]
Conditions: none
Enumerate with A as the outer loop and B as the inner loop;stage order matters.
Rule: ordered_outcome_pair · Uses: G001, S002
Before
first-stage outcome=-22;second-stage outcome=23
After
[-22, 23]
Conditions: none
Enumerate with A as the outer loop and B as the inner loop;stage order matters.
Rule: ordered_outcome_pair · Uses: G001, S003
Before
first-stage outcome=22;second-stage outcome=-1
After
[22, -1]
Conditions: none
Enumerate with A as the outer loop and B as the inner loop;stage order matters.
Rule: ordered_outcome_pair · Uses: G001, S004
Before
first-stage outcome=22;second-stage outcome=0
After
[22, 0]
Conditions: none
Enumerate with A as the outer loop and B as the inner loop;stage order matters.
Rule: ordered_outcome_pair · Uses: G001, S005
Before
first-stage outcome=22;second-stage outcome=23
After
[22, 23]
Conditions: none
Enumerate with A as the outer loop and B as the inner loop;stage order matters.
Rule: ordered_outcome_pair · Uses: G001, S006
Before
A=[-22, 22];B=[-1, 0, 23]
After
[[-22, -1], [-22, 0], [-22, 23], [22, -1], [22, 0], [22, 23]]
Conditions: none
After deduplication,pair each A-value with each B-value exactly once to list the protocol's full Cartesian product.
Rule: complete_cartesian_outcome_protocol · Uses: G001, S007
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.[[-22, -1], [-22, 0], [-22, 23], [22, -1], [22, 0], [22, 23]]
The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.
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.
input commit: 0f7be61e2c22317a4075561dc822c87d881a50dboriginal question SHA-256: b592d46da256ed83286628f10075cd8757bf464266bca36b610798ce150ea6fecandidate record SHA-256: 8d49e2e590d65a2a1c3d426343ce5a55da907323729e2b2775030b766dcd6598semantic review receipt SHA-256: b6e05a3e8193a93db505dbf337528fca72e2e41528b1e92b698a3f0683d74289question-first witness SHA-256: caa8693baf0b91acd09a20215d1aa6954ae513fc0b0814f26ac1c8c834b60d67Lean: NOT_RUN · human review: NOT_PERFORMED