Shuffling a deck of cards question?

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SUMMARY

A properly shuffled deck of 52 cards has approximately 8 x 1067 unique arrangements, which is significantly greater than the estimated number of atoms in the universe. This immense number indicates that it is statistically highly probable that each shuffle results in a configuration that has never existed before. Therefore, every time a deck is shuffled correctly, it is almost certain that the resulting order is unique.

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Is it statistically probable that a properly shuffled deck of cards will be in an order that has never before existed amongst other decks?
Please explain!
 
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What do you think? How do you reach whatever conclusion you reach? How many ways can a deck of cards be ordered?
 
amantonas said:
Is it statistically probable that a properly shuffled deck of cards will be in an order that has never before existed amongst other decks?
Please explain!

Yes, it is extremely likely so, if you have a deck with, let's say, 52 cards, it means that there are 52! different ways to shuffle it, that number is gigantic, around 8*10^67 which is a number close to the number of atoms in the universe.

In summary, every time you shuffle a deck properly chances are you have shuffled something no one has shuffled before... in this universe.
 

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