# Probabilities of Clumps in a Binary Sequence

by David M. Bloom (Brooklyn College of CUNY)

Mathematics Magazine
December, 1996

Subject classification(s): Statistics and Probability | Probability | Elementary Probability
Applicable Course(s): 7.2 Probability

A collection of cards, $$r$$ with red faces $$b$$ with black faces, are randomly laid face down in a row. What is the probability that $$t$$ cards of the same color lie consecutively?

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