CREATE TABLE Problem_Status_Codes (problem_status_code VARCHAR2, problem_status_description VARCHAR2)
CREATE TABLE Staff (staff_id NUMBER, staff_first_name VARCHAR2, staff_last_name VARCHAR2, other_staff_details VARCHAR2)
CREATE TABLE Problems (problem_id NUMBER, product_id NUMBER, closure_authorised_by_staff_id NUMBER, reported_by_staff_id NUMBER, date_problem_reported DATETIME, date_problem_closed DATETIME, problem_description VARCHAR2, other_problem_details VARCHAR2)
CREATE TABLE Problem_Category_Codes (problem_category_code VARCHAR2, problem_category_description VARCHAR2)
CREATE TABLE Product (product_id NUMBER, product_name VARCHAR2, product_details VARCHAR2)
CREATE TABLE Problem_Log (problem_log_id NUMBER, assigned_to_staff_id NUMBER, problem_id NUMBER, problem_category_code VARCHAR2, problem_status_code VARCHAR2, log_entry_date DATETIME, log_entry_description VARCHAR2, log_entry_fix VARCHAR2, other_log_details VARCHAR2)

For each product with some problems, list the count of problems and the product id. Show the correlation.
SELECT COUNT(*), T1.product_id FROM Problems AS T1 JOIN Product AS T2 ON T1.product_id = T2.product_id GROUP BY T2.product_id
SELECT COUNT(*), "T1"."product_id" FROM "Problems" "T1" JOIN "Product" "T2" ON "T1"."product_id" = "T2"."product_id" GROUP BY "T2"."product_id"