MySQL UPDATE with random number between 1-3

Got a big table and I want to add a column that has a randomly chosen number for each record. 1, 2, or 3.

Examples:

UPDATE tableName SET columnName = FLOOR( 1 + RAND( ) *3 );

UPDATE 'videos' SET 'views' = rand(1,10000);

Update videos set views = CAST(RAND() * 10000 AS UNSIGNED);