Monday Puzzle! On a square-shaped lazy susan turntable, a card is placed on each of the four corners. You are in a dark room and cannot see if the cards are face-up or face-down. Your job is to get all four of the cards to be face-up or face-down.
On a given turn, you can flip over any or all of the cards. Then you press a button to verify your guess. If you are correct, you win and the game ends. Otherwise, the square lazy susan is spun and rotates a random number of times (each rotation being 90 degrees). Then you start another turn.
Is there a way you can win this game for sure?