Question
An urn has 8 red and 12 blue balls. Suppose that balls are chosen at random and removed from the urn, with the process stopping
An urn has 8 red and 12 blue balls. Suppose that balls are chosen at random and removed from the urn, with the process stopping when all the red balls have been removed. Let X be the number of balls that have been removed when the process stops.
(a) Find P(X = 14).
(b) Find the probability that a specified blue ball remains in the urn.
(c) Find E[X].
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Metastability A Potential-Theoretic Approach
Authors: Anton Bovier, Frank Den Hollander
1st Edition
3319247778, 9783319247779
