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?
(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.
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Posted by Jer
on 2016-07-18 21:13:16 |