Can we stay on the same page? placing the cut card does not alter the randomness of the deck in my favor, since I can't see the cards I am placing it between, I can't know what cards are in front of or behind the cut card, so it is just another random event in a string of random events.
This was a bad example.
"altering the random behavior" is not the same as "changing the random behavior of the game to your favor".
rolling the dice by hand affects the random behavior of a particular roll. But not overall... and not in my favor.