He is allowed a totally FREE choice.

There are eight animals on each of 8 cards.

The spectator merely points to the card which has his animal on it.

He then mixes the cards and turns them over to the other side.

He finds his selected animal once again on one of the 8 cards.

The 64 animals are in a totally different order on the reverse side.

Again, he simply points to the card which has his animal on it.

YOU INSTANTLY know which animal he selected.