Thank you for your post.
From inside FileMaker Pro, create a temporary text field "TEMP", and create a button that executes the script step:
Set Field [ TEMP ; ExecuteSQL ( "SELECT * FROM Contacts_db" ; "," ; "¶" ]
Although this doesn't use the ODBC Driver, the TEMP field should show all records from the Contacts_db table with each field separated by a comma, and each record separated by a return. If this doesn't work, then somehow FileMaker is not recognizing the Contacts_db table. Verify the spelling of the table.
Assuming this does work, then try reinstalling the ODBC driver.and configuring it. See pages 13-15 of the ODBC Guide at:
Once everything is installed again, try running the SQL command.
Also make sure you have a table occurrence "Contacts_db" in the relationship graph as the ExecuteSQL() uses those instead of the actual base tables.