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comment Expected frequency of most frequent die roll
Say the partition is {7,4,4,4,1,1}, so n=21. For the 7-frequency event we have mC1 choices, for the three 4-frequency events we have (m-1)C3 choices, for the two 1-frequency events we have (m-4)C2 choices. Then we arrange the events with 21!/(7!4!4!4!1!1!).
Aug
27
comment Expected frequency of most frequent die roll
The question is whether there is a closed form for E(n,m).
Aug
27
asked Expected frequency of most frequent die roll
Aug
17
answered What is the probability that the maximum number of shots fired successively from a type A gun is $2$?
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comment Existence of maximum value of a discontinuous function
Thank you - I never would've thought of such crazy functions.
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Nov
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revised Existence of maximum value of a discontinuous function
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asked Existence of maximum value of a discontinuous function