MySQL 8.0

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CREATE TABLE numbers (
  ID INT,
  NAME VARCHAR(10),
  number INT
);
INSERT INTO numbers VALUES
  (1, 'name1', 5),
  (2, 'name2', 0),
  (3, 'name3', 2),
  (4, 'name4', 7),
  (5, 'name5', 9),
  (6, 'name6', 1);
WITH cte AS (
  SELECT 
    n1.id id1, n1.name name1, n1.number number1,
    n2.id id2, n2.name name2, n2.number number2,
    n3.id id3, n3.name name3, n3.number number3
  FROM numbers n1 CROSS JOIN numbers n2 CROSS JOIN numbers n3
  WHERE 
    (n1.number > 3 OR n2.number > 3 OR n3.number > 3)
    AND n1.id <> n2.id AND n1.id <> n3.id AND n3.id <> n2.id
  ORDER BY RAND() LIMIT 1
)

SELECT id1 id, name1 name, number1 number FROM cte
UNION ALL
SELECT id2 id, name2 name, number2 number FROM cte
UNION ALL
SELECT id3 id, name3 name, number3 number FROM cte


id
name
number


3
name3
2

6
name6
1

4
name4
7