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Two Packs Of Cards (Posted on 2004-02-05) Difficulty: 2 of 5
Two identical pack of cards A and B are shuffled throughly. One card is picked from A and shuffled with B. The top card from pack A is turned up.
If this is the Queen of Hearts, what are the chances that the top card in B will be the King of Hearts?

See The Solution Submitted by Ravi Raja    
Rating: 3.8571 (7 votes)

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A KING INDEED Comment 14 of 14 |
removing of one card from deck A would result in a 1/52 chance of being a king of hearts. however i card from deck A we know is a queen of hearts. so then chances of first card from deck A being a king of hearts are 1/51. shuffled with deck B there is a 1/51/53 chance of the exact same card being picked. but also deck B already has 1 king of hearts so then to answer your question the chances are
1/51/53*2=2/2703 or

so 51*53=2703 plus the existing king

please let me know if this is wrong or right?
my brain is hurting......
  Posted by G on 2004-02-06 20:16:53
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