Oh, I’m not making the argument that randomly permuting the Rubik’s Cube will always solve it in a finite time, but that it might. I think it has a better chance of solving it than the chicken. The chicken might get lucky and knock the Rubik’s Cube off the edge of a cliff and it might rotate by accident, but other than that, the chicken isn’t going to do much work on solving it in the first place. Meanwhile, randomly permuting might solve it (or might not solve it in the worst case). I just think that random permutations have a higher chance of solving it than the chicken, but I can’t formally prove that.
Oh, I’m not making the argument that randomly permuting the Rubik’s Cube will always solve it in a finite time, but that it might. I think it has a better chance of solving it than the chicken. The chicken might get lucky and knock the Rubik’s Cube off the edge of a cliff and it might rotate by accident, but other than that, the chicken isn’t going to do much work on solving it in the first place. Meanwhile, randomly permuting might solve it (or might not solve it in the worst case). I just think that random permutations have a higher chance of solving it than the chicken, but I can’t formally prove that.