Classifications, my friend

Each time you stirred deck, you create a sequence of cards that is a very high degree of probability never existed in the universe. The number of combinations in the standard deck of playing 52 !, or equal to 8 × 10 67 degrees. To achieve at least a 50% chance to receive a combination of the second time, you should do a 9 × 10 33 The degree of mixing. And if hypothetically make the entire population of the planet in the last 500 years continuously interfere with each second card and get a new deck, eventually get no more than a 20 degree 10 different sequences.