Linked List Round robin game Java

I am trying to do a classic round robin game which each of the player from 1-5 would get a random number but for each round that random number would add another random number and when the number reaches 11+ points it will show winner.

Here's what I've got so far. import java.util.Collections; import java.util.LinkedList;

public class RoundRobin {

public static void main(String[] args){
    LinkedList<String> list = new LinkedList<String>();
        int max = 11;
        int min = 1;
        int range = max - min + 1;
    
    System.out.println("Round 1");
    list.add("Player 1: ");
    list.add("Player 2: ");
    list.add("Player 3: ");
    list.add("Player 4: ");
    list.add("Player 5: ");
    
    for(int i=0; i < list.size(); i++)
        {
          int rand = (int)(Math.random() * range) + min;
          System.out.println(list.get(i) + rand);
        } 
    System.out.println("");
    System.out.println("Round 2");
    for(int i=0; i < list.size(); i++)
    {
      int rand = (int)(Math.random() * range) + min;
      System.out.println(list.get(i) + rand);
    }
}
}

and the output goes like this (In the second round the value must be change to what was added in random):

Round 1
Player 1: 9
Player 2: 8
Player 3: 1
Player 4: 11
Player 5: 9

Round 2
Player 1: 3
Player 2: 6
Player 3: 5
Player 4: 10
Player 5: 9

The sample output is something like this:

Round 1
Player 1: 4
Player 2: 8
Player 3: 3
Player 4: 2
Player 5: 6

Round 2
Player 1: 7 //It randomly added 3
Player 2: 10 //randomly added 2
Player 3: 8 
Player 4: 7
Player 5: 9