Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_name_50 ( cuts_made INTEGER, tournaments_played VARCHAR, year VARCHAR )

### Question ###
What is the average number of cuts made when there were more than 2 tournaments played in 2011?

### Accurate SQL ###

SELECT AVG(cuts_made) FROM table_name_50 WHERE tournaments_played > 2 AND year = 2011