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   Author  Topic: 5 Card Magic Trick  (Read 8213 times)
GnomeSain
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5 Card Magic Trick  
« on: May 21st, 2011, 6:07pm »
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By the pigeon-hole principle, you're going to have least a pair of the same suit.  Call these cards A and B. For simplicity suppose the ranks are just from 1 to 13.  We define the distance d(A,B) to be how many steps it to go from A forward mod 13 to B.  So for example, d(3,5) = 2 and d(9,3) = 7.  Then, for any A and B , we are guarenteed either d(A,B) is less than or equal to 6 or d(B,A) is less than or equal to 6.
 
If d(A,B) is less than or equal to 6, we will guess B and flip A on the fourth. If d(B,A) is less than or equal to 6, we will guess A and flip B on the fourth.
 
That means, the first three cards X,Y and Z will have to convey what d(A,B) or d(B,A) is.  We use the usual card ordering on them and note the total arrangement of orderings is 3! = 6.  So we have just enough to convey the distance from A to B.
 
« Last Edit: May 21st, 2011, 6:10pm by GnomeSain » IP Logged
arun gupta
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hello friends :)

   


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Re: 5 Card Magic Trick  
« Reply #1 on: Apr 3rd, 2012, 10:13pm »
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I thought this is one of the best and easy trick. I tried and do it many times in a day.
Thanks!
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keithgilabert
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Keith Gilabert, "Life is but a dream."

   


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Keith Gilabert. 5 Card Magic Trick  
« Reply #2 on: May 13th, 2012, 8:23pm »
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That is a really cool trick!
 
Thanks,
 
Keith Gilabert
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RandyMagic
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Re: 5 Card Magic Trick  
« Reply #3 on: Nov 13th, 2014, 2:37am »
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Easy and cool trick! I tried myself and did not know it would be so much fun!
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