This is an animated version of the "non-random walk" on p. 72 of Mathematical Circus by Martin Gardner.
Pick a card, any card. Half are red, half are black. Each time a card is picked, the wheel moves. The distance moved is always half the distance from the wheel to the origin (the black dot), but the direction depends on the colour of the card: red moves left, black moves right.
Because the cards are shuffled, the picks are random, and you might think that it's not possible to tell where the wheel will stop, once all cards have been turned over. However, that's not the case. The wheel always stops at a distance a - a × 0.75^n from the origin, where a is the starting position of the wheel, and n is the number of red (or black) cards.