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The First Repeat (Posted on 2016-07-18) Difficulty: 3 of 5
A bag has 5 tokens numbered 1 to 5. Tokens are drawn with replacement until a token is repeated. What is the probability that the repeated token is the first token drawn?

What is the formula for N tokens?

No Solution Yet Submitted by Brian Smith    
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re: solution Comment 5 of 5 |
(In reply to solution by Charlie)

Your solution is in agreement with mine.  I tried but could not find a closed form solution for the numerator with the denominator written as n^n but I did find this:


https://oeis.org/A001865

Which indicates the sequence is in the ORIGINAL:
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

But none of the formulas given are a closed form.

  Posted by Jer on 2016-07-18 21:13:16
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