Question: An urn contains a white and b black balls. We select a ball randomly, note its color and return it to the urn. We repeat

An urn contains a white and b black balls. We select a ball randomly, note its color and return it to the urn. We repeat this experiment and let X be the number of trials until a black ball is selected for the first time. Then, X has a geometric distribution with parameter p = a∕(a + b).

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Introduction To Probability Volume 2 1st Edition by Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis