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Probability of drawing balls with different colours

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#probability #probability-distributions #balls-in-bins #coupon-collector
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Put B balls in C containers. How many combinations have box(es) with exactly 2 balls?

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#combinatorics #balls-in-bins
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How many outputs possible when throwing $m$ balls into $n$ bins?

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#probability #combinatorics #balls-in-bins
322
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flipping two coins when compared to a ball and bin situation?

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497
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Probability of $10$ random balls filling $7$ bins. Does indistinguishability matter?

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11.5k
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$n$ balls are thrown randomly into $k$ bins - how many are empty?

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235
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Is this probabilistic balls-and-bins problem well-defined and is my solution correct?

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#probability #combinatorics #solution-verification #mathematical-modeling #balls-in-bins
240
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About the distribution of balls in bins

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#probability #balls-in-bins
2.1k
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Are "Balls in Bins" and "Stars and bars" the same?

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#combinatorics #balls-in-bins
268
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Expansion for r-associated Stirling numbers of the second kind

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#combinatorics #generating-functions #stirling-numbers #balls-in-bins #set-partition
520
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Bags with balls - Combinatorial Optimization of Probability problem

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#probability #combinatorics #optimization #discrete-optimization #balls-in-bins
136
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Optimality of the uniform distribution for a load balancing problem

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#probability #poisson-distribution #balls-in-bins
874
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Expected value of count of distinct colors picked from a basket

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#probability #statistics #proof-verification #expected-value #balls-in-bins
88
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In how many distribution of n identical ball to $m$ bins, will there be exactly $k$ empty cells

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#combinatorics #balls-in-bins
104
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Atleast $k$ balls in balls and bins problem

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#probability #inequality #balls-in-bins

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