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Hypergeometric Distribution Calculator

Find a hypergeometric exact-count probability for sampling without replacement. Provide Population size, Success items in population, Draws without replacement to compute results directly in your browser. Population/marked/draw counts must be consistent; impossible target counts return 0. Uses log-combination evaluation with at most 10000 terms per combination. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Common search workflows supported include "hypergeometric distribution calculator", "hypergeometric probability calculator".

Free to useNo sign-upRuns in your browser
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Enter the inputs, then select Calculate.

Allowed range: 1 to 1000000. Whole numbers only.

Allowed range: 0 to 1000000. Whole numbers only.

Allowed range: 0 to 1000000. Whole numbers only.

Allowed range: 0 to 1000000. Whole numbers only.

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How the Hypergeometric Distribution Calculator Works & Core Formula

The Hypergeometric Distribution Calculator evaluates Population size, Success items in population, Draws without replacement in client-side JavaScript using the deterministic rule below and updates the output panel immediately without uploading data to a server.

Find a hypergeometric exact-count probability for sampling without replacement.

Population/marked/draw counts must be consistent; impossible target counts return 0. Uses log-combination evaluation with at most 10000 terms per combination. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.

Concept diagram for Hypergeometric Distribution Calculator, showing population size input and the supported output.
Concept diagram; the three operation images are actual browser captures.

Hypergeometric Distribution Calculator Quick Reference & Input Guide

Review the input parameters, allowed value ranges, and worked reference cases for the Hypergeometric Distribution Calculator below before running your calculation.

Parameter / ScenarioDefault / Sample ValueRule or Allowed RangeOutput / Usage Note
Input: Population size20Range: 1 to 1000000Required workspace parameter
Input: Success items in population7Range: 0 to 1000000Required workspace parameter
Input: Draws without replacement5Range: 0 to 1000000Required workspace parameter
Input: Target drawn successes2Range: 0 to 1000000Required workspace parameter
Worked Case 1: Baseline run (Population size = 20)Preloaded / test valuesFind a hypergeometric exact-count probability for sampling without replacementPopulation size = 20; Success items in population = 7; Draws without replacement = 5; Target drawn successes = 2. The displayed output is P(X=target): 0.387383900929 Probability percent: 38.7383900929%.
Worked Case 2: Comparison scenario (hypergeometric distribution calculator ti )Preloaded / test valuesFind a hypergeometric exact-count probability for sampling without replacementPopulation size = 5; Success items in population = 2; Draws without replacement = 2; Target drawn successes = 1. The displayed output is P(X=target): 0.6 Probability percent: 60%.

Step-by-Step Guide to Using the Hypergeometric Distribution Calculator

Follow these three steps to configure Population size, Success items in population, Draws without replacement, verify unit and boundary rules, and export your Hypergeometric Distribution Calculator output.

Enter population size

Enter population size. Allowed range: 1 to 1000000. Whole numbers only.

Calculate
Input and settings
Hypergeometric Distribution Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Complete the other inputs

Set success items in population, draws without replacement, target drawn successes. Population/marked/draw counts must be consistent; impossible target counts return 0.

Calculate
Tool result
Hypergeometric Distribution Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Calculate and read the output

Select Calculate to see the exact-count probability and percentage. Copy result copies this text; Download saves it as a TXT file.

Calculate
Review the details
Hypergeometric Distribution Calculator: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Practical Worked Examples for Hypergeometric Distribution Calculator

These concrete scenarios illustrate how the Hypergeometric Distribution Calculator processes baseline inputs, comparison checks, and boundary constraints.

Baseline run (Population size = 20)

Population size = 20; Success items in population = 7; Draws without replacement = 5; Target drawn successes = 2. The displayed output is P(X=target): 0.387383900929 Probability percent: 38.7383900929%.

Calculate
Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Comparison scenario (hypergeometric distribution calculator ti )

Population size = 5; Success items in population = 2; Draws without replacement = 2; Target drawn successes = 1. The displayed output is P(X=target): 0.6 Probability percent: 60%.

Calculate
Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Boundary & unit check (Hypergeometric Distribution Calculator)

When solving for 'hypergeometric distribution calculator', verify that Population size, Success items in population, Draws without replacement use consistent units and stay within the documented scope: Population/marked/draw counts must be consistent; impossible target counts return 0. Uses log-combination evaluation with at most 10000 terms per combination. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.

Calculate
A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to Read and Verify the Hypergeometric Distribution Calculator Output

The output panel reports the exact result derived from Population size, Success items in population, Draws without replacement alongside any unit or formatting notes.

The result is the exact-count probability and percentage. Explore a sample drawn without replacement from a known population.

An impossible count has probability zero; population and draw counts still must be valid.

Numerical output shows up to 12 significant digits. Floating-point arithmetic and display rounding can affect the last digits.

Example input
Population size = 20; Success items in population = 7; Draws without replacement = 5; Target drawn successes = 2
Example output
P(X=target): 0.387383900929 Probability percent: 38.7383900929%
CalculateCalculate
A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Scope Limits, Accuracy Assumptions & Related Everyday Math Tools

Review these boundary constraints and validation rules before relying on the Hypergeometric Distribution Calculator output.

Operational scope: Population/marked/draw counts must be consistent; impossible target counts return 0. Uses log-combination evaluation with at most 10000 terms per combination. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Inputs that violate minimum/maximum bounds or required format rules are rejected with a clear diagnostic prompt.

Need an adjacent calculation in Everyday Math? Use the related tools linked below to chain your workflow without leaving your browser.

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Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

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Frequently Asked Questions About Hypergeometric Distribution Calculator

Answers about using Hypergeometric Distribution Calculator and understanding its results.

What formula or rule does the Hypergeometric Distribution Calculator use?

The Hypergeometric Distribution Calculator applies the rule: Find a hypergeometric exact-count probability for sampling without replacement. Enter Population size, Success items in population, Draws without replacement into the workspace and the tool computes the exact output in your browser.

Can I use this tool for hypergeometric probability calculator?

Yes. Provide Population size, Success items in population, Draws without replacement using the documented units and format shown in the quick reference table above. Preloaded default values let you test the workflow immediately.

What are the accuracy limits and boundary assumptions for Hypergeometric Distribution Calculator?

Population/marked/draw counts must be consistent; impossible target counts return 0. Uses log-combination evaluation with at most 10000 terms per combination. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Confirm that your inputs fall within the allowed ranges before exporting the result.

Is the Hypergeometric Distribution Calculator free and does it keep my inputs private?

Yes. All calculations for the Hypergeometric Distribution Calculator execute 100% locally in your browser's JavaScript runtime. No inputs or results are uploaded to any external server.

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