How many losses are suffered in the Hydrophobic-Polar protein folding model if we fold randomly?

String to fold:

XOXOOOOOXXXXOOOOXOOXXOOXOOXXOOOXXOOOOOXX

                  O←X 
                  ↓ ↑ 
              X←O X   
              ↓ ↑ ↓   
              X O O   
              ↓ ↑ ↓   
              X O←O   
              ↓       
              X       
              ↓       
              O       
              ↓       
              O       
              ↓       
              O       
              ↓       
              O       
              ↓       
              X       
              ↓       
              O       
              ↓       
X O←O         O       
↑ ↓ ↑         ↓       
X←O O X←X X←O X       
    ↑ ↓ ↑ ↓ ↑ ↓       
    O O O←O O←X       
    ↑ ↓               
    X O               
    ↑ ↓               
    X←O               
                      

Record number of incidences: 4

Record-achieving fold sequence:
→→→↑←↑←↓←↑↑↑←↓←↓↓↓→↓←↓→↓↓↓→↓↓←↑←↓↓→↓→↓↓

Try again with the same string