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Shuffled Cards (Posted on 2003-03-22) Difficulty: 2 of 5
2 people each shuffle a deck of 52 playing cards thoroughly.

What is the probabilty of both decks being in the EXACT same order after shuffling?

See The Solution Submitted by Adam Champken    
Rating: 2.2727 (11 votes)

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Solution Puzzle Solution Comment 11 of 11 |

Since there are 52 cards, these can be shuffled in precisely 52! ways.

Both the decks are in precisely same order after the shuffling in precisely one way.

Thus, the required probability is 1/52! = 1.24*10^(-68)

Edited on August 20, 2007, 1:02 pm
  Posted by K Sengupta on 2007-08-20 13:00:27

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