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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 | Comment 5 of 11 |
Hello,

The probability is 1/(52!). The first shuffle is of no use and we need to calculate the probability of the second shuffle only.

After the second shuffle, the number of different orders in which the pack can be is 52! . However, just one sequence will tally with the original one. So, probability is 1/(52!)

Regards,
Rajat
  Posted by Rajat on 2003-03-22 12:01:49
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