You pick which is E and which is F. 3. In particular, this means each cipher has no internal state. The same input always produces the same output. That is true, but the keys are far from independent. I can go even further.
Most block ciphers have some internal constants that can be varied.
There may be constraints on how these constants are selected, but there is still some underlying variability. You can think of these constants as playing the same role as M in game2.