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

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String to fold: 

XOXOOOOOXXXXOOOOXOOXXOOXOOXXOOOXXOOOOOXX

Random fold (* means dead end, backing up):
    X→O           
    ↑ ↓           
    X O→O         
    ↑   ↓         
    O←O X O→O X→X 
      ↑ ↓ ↑ ↓ ↑   
    O→X X→O O→O   
    ↑             
X→X→O             
↑                 
O   O←O           
↑   ↓ ↑           
O←X←O O←X X←O     
        ↑ ↓ ↑     
        X←X O     
            ↑     
            O←O   
        ↓     ↑   
        X→O→X→O

Record number of incidences: 4

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

Current fold sequence:
→→→↑←↑↑←↓←↑←↑←↓←←↑↑→→↑→↑←↑↑→↓→↓↓→↑→↓→↑→

Current number of incidences Wins achieved: 2 Losses suffered: 6

Try again with the same string