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

Record number of incidences: 2

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

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

Current number of incidences Wins achieved: 2 Losses suffered: 1

Try again with the same string