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The birthday problem Gamblers ruin
 

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Lecture 5
The birthday problem
Gamblers ruin
Polya's urn
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Problem # 3: The birthday
problem
3 K1 2
X X X X1 2 3 K
X1, X2, . . . , XK are chosen at random from the numbers 1, 2, . . . , N
What is the probability that at least 2 of the K cards have
the same (random) number on them?

  

Source: Adler, Robert J. - Faculty of Industrial Engineering and Management, Technion, Israel Institute of Technology

 

Collections: Mathematics; Engineering