The equalization probability of the Polya urn

Details The equalization probability of the Polya urn The equalization probability of the Polya urn

2011-04-28

arxiv.org/abs/1104.5297v1

Mathematics

Probability

Scientific paper

We consider a Polya urn, started with b black and w white balls, where b>w.
We compute the probability that there are ever the same number of black and
white balls in the urn, and show that it is twice the probability of getting no
more than w-1 heads in b+w-1 tosses of a fair coin.

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