What is the characteristics of a Random machine learning model? and how to generate random model output [closed]

A few characteristics of a Random model I know are :

• AUC score <=0.5
• Precision recall curve is an horizontal line
• It treats both events (binary classification) as 50-50%

How can I generate random model output for a balanced classification problem? I have tried dummy classifier from sklearn and also random number generation but none fulfill the above characteristics