# Questions tagged [hypergeometric-distribution]

A discrete distribution used to model sampling without replacement.

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### Conditional probability given conditional probabilities [closed]

If $X$ and $Y$ are independent binomial random variables with identical parameters $n$ and $p$, show analytically that the conditional probability of $X$, given that $X + Y = m$ is the hypergeometric ...
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### multivariate hypergeometric test in R

I have 10 multiple choice questions, each question has 4 answers and all answers are same for each question. Lets say choice D is the correct answer for all questions, but 35% of the answers were ...
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### Likelihood of all hypergeometric parameters conditional on all others

How to derive the likelihood function of other parameters of the hypergeometric distribution conditional on the others? Why is the $L(N|y)$ equivalent to $P(Y=y)$? I mean This seems too evident. I'm ...
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1 vote
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### Binomial distribution but only failures are replaced

I might be thinking about this in a completely wrong way, but I have the following problem: Let's say we have 100 people in the population, and we know the probability of someone dying on any given ...
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### How to perform hypergeometric test

Imagine an organism that has 10 genes, and a pathway that is composed of all those genes. You run an experiment, test all 10 genes, and find 3 genes that are differentially expressed and belong to ...
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### Vapnik-Chervonenkis dimension of hypergraph, given bound on number of hyperedges

in studying now about Vapnik-Chervonenkis dimension, and there is one question that I not able to solve. Let $\textrm{(X , R)}$ be a range space so that any hypergraph $\textrm{(V, F)}$ in it ...
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1 vote
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### A variation of the Lady Tea Tasting problem [closed]

I am quite stuck on this question. My intuition would have been to say that we would prefer to pour milk first on heads, but I am not sure. The setting is: the Lady guesses "milk first" in 2/...
100 views

### Combinatorics - calculating probability of choosing n people from m groups of k people

I am trying to calculate and understand the following question: I have 10 groups of 10 people each and am choosing 10 people at random. What is the probability that all 10 people I have chosen are ...
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1 vote
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### Sampling identical sequences from two urns with unique colored balls

In very simple terms, my problem is as follows: given two urns, both with N balls where each ball has a unique color, I am interested in sampling sequences of N balls without replacement from each urn....
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1 vote
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### Is There a Conjugate Prior for a Multivariate Hypergeometric Likelihood?

I am working on a problem using a multivariate hypergeometric likelihood. The multivariate hypergeometric distribution does not belong to the exponential family of distributions, so (to my knowledge) ...
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1 vote
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### Game design urn problem

I am designing a tabletop game and trying to conceptualise the probabilities involved. These can be expressed as an urn problem: Our urn contains seven counters, either green or red. We draw five and ...
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### How to determine odds in a game similar to roulette

A game similar to Roulette has 360 slots. 20 of these slots are 'scoring' positions. Each slot will only accomodate 1 ball. If a number of balls are introduced (Say 3) What are the chances that any 1 ...
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### Probability of drawing two differently colored balls in a partition of equally sized partitions

If I randomly distribute, say, 100 red and 10 blue balls onto a field of 10000 square meters (100*100 m), how would one calculate the chance of having at least one red and at least on blue in the same ...
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