All Questions
4
questions
1
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2
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59
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How to rigorously interpret and transform "equal chance" in different ways?
Put $100$ identical balls into $10$ identical boxes in a way that each ball enters each box with an equal chance. What's the probability that no box is empty?
I have solved it but like to discuss ...
- 2,036
9
votes
1
answer
899
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Expected Value for the Number of Parts of a Random Partition (Considering Only a Portion of the Partition Spectrum)
Let $n$ be a positive integer. If we take the set of all partitions of $n$ and choose a random partition from it (uniformly), then the expected value of the number of parts of this partition is a ...
- 113
5
votes
0
answers
278
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Expected Value for the Number of Parts of a Partition of n
Given a positive integer $n$, I want to know the expected value for the number of parts of a random partition of $n$.
I am aware that a similar question has been asked already: Expected number of ...
- 113
0
votes
0
answers
224
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Expected number of parts of a uniformly selected partition of $n$
I have a very basic question on partition theory, which I feel should be very well known. Suppose that you fix a natural number $n$ and select a random partition $P$ of $n$ by choosing uniformly from ...
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