Percentage with random

Today i have create an function who generate an random number (0, 1, 2 or 3). But i want have a percetage function.

I would like to apply a percentage to every chance that the generated numbers fall. Example: The 0 will have 60% chance of being drawn, the number 1 19%, ...

 public void GenerGame(){

        Random r = new Random();
        int game = r.nextInt(max - min +1);

        if (game == 0){
            // do something
        }
        else if (game == 1){
            // do something
        }
        else if (game == 2){
            // do something
        }
        else {
            // do something
        }
 } 

Can i do it with Random?