The Party Magician is learning a new trick. It requires five cards. For this puzzle the cards are the ace, two three, four and five of any suit and are face down in this order from top to bottom; that is, the ace is face down on top of the packet and the five is on the bottom.

The cards are dealt in this way: Starting with the top card, place it face down on the table. Take the second card (the one that is now on top of the packet) and place it, still face down, on the bottom of the packet. The third card is dealt, face down, on top of the first card on the table. Continue with the fourth card and so on until all of the cards are face down on the table.

There is a proper name for this kind of dealing used by magicians. What would you call it?

If your were to now turn over the entire packet on the table, what order would they be in?

Lost in his magic box are a whole lot of playing cards. In fact, there are 24 blue backed cards and 24 red backed cards. He need exactly two blue backed cards for his next trick.

What is the smallest number of cards he needs to pull out of his box (without looking) to be absolutely sure that he has exactly two blue ones?