# [Pylongolf2][1], 12 bytes

    1r0=?t¿1>~<
I would've saved 2 bytes if it didn't have to print 1 forever:

    1           push 1 to the stack
     r          pick a random number between 0 and 1
      0=        push 0 to the stack and compare them
        ?t¿     if true, terminate, if not then skip this
           1>~< push 1 to the stack then print it forever.


  [1]: https://github.com/lvivtotoro/pylongolf2/