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Hypergeometric Chance of Success

Calculate success counts when you draw samples without putting items back.

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Your numbers

Calculations dey happen locally. Results na estimates, no be professional advice.

Success count na exactly k

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Use consistent units. Result follow the assumptions wey you enter.

Formula

P(X=k)=C(K,k)C(N−K,n−k)/C(N,n)

Calculate success counts when you draw samples without putting items back.

Example wey show the calculation

All items for population N
20
Successful items for population K
7
Number of items wey you draw n
5
Successful items wey you draw k
2
Success count na exactly k
38.7383900929 %
Successes wey you expect on average
1.75

Where e fit work and limits

Use consistent units. Result follow the assumptions wey you enter.

We check inputs for missing values and allowed ranges. Result wey pass the finite numeric range no go show. Rounding affect wetin display, while calculation use the model numeric precision.

Check your units and assumptions before you rely on result. Changing label no convert currency or physical unit.

Version of di formula: 0dd760853b04 · Example don get check:

Method

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