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):
                    O←X 
                    ↓ ↑ 
                    X   
                    ↓   
                    O   
                    ↓   
                    O   
                    ↓   
                X←X O   
                ↓ ↑ ↓   
X←O             X O←O   
↓ ↑             ↓       
X O             X       
  ↑             ↓       
  O X←X     X←O O       
  ↑ ↓ ↑     ↓ ↑ ↓       
  O←O O     O O←O       
      ↑     ↓           
      O     O           
      ↑     ↓           
      O     X           
      ↑     ↓           
      X O←X X           
      ↑ ↓ ↑ ↓           
      X←O O←O

Record number of incidences: 4

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

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

Current number of incidences Wins achieved: 1 Losses suffered: 5

Try again with the same string