Bicycle - Chinese rising - Red back

Show a deck of cards with two holes and a Chinese stick. Insert the stick into one hole of the deck and make it slide back and forth, showing that all cards are punched. Do the same thing in the other hole, put away the stick, shuffle the cards and make chose one card. The spectator looks at his card, then he puts it in the deck anyway. At this point insert the stick into one hole and hold it by the end let the deck hang in the stick. Cover the deck with a silk, ask the spectator which is the chosen card and… magically the card will come out from the deck.
There are no swaps or forces.