Math & Numbers
Calculate exact and cumulative probabilities for sampling without replacement
Call this tool from your code in three languages.
curl -X POST 'https://api.elysiatools.com/en/api/tools/hypergeometric-distribution-calculator' \
-H 'Content-Type: application/json' \
-d '{"populationSize":52,"populationSuccesses":13,"draws":5,"observedSuccesses":2,"probabilityMode":"exact","decimalPlaces":4}'Send a POST request with your inputs as JSON. File parameters require a separate upload first.
POST https://api.elysiatools.com/en/api/tools/hypergeometric-distribution-calculator| Name | Type | Required | Description |
|---|---|---|---|
| populationSize | number | Yes | — |
| populationSuccesses | number | Yes | — |
| draws | number | Yes | — |
| observedSuccesses | number | Yes | — |
| probabilityMode | select | No | — |
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Add this block to your MCP client configuration:
{
"mcpServers": {
"elysiatools-hypergeometric-distribution-calculator": {
"name": "hypergeometric-distribution-calculator",
"description": "Calculate exact and cumulative probabilities for sampling without replacement",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=hypergeometric-distribution-calculator",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}After connecting to the SSE endpoint, list the exposed tools:
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Invoke the tool by its id, passing arguments built from its parameters:
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "hypergeometric-distribution-calculator",
"arguments": {
"populationSize": 52,
"populationSuccesses": 13,
"draws": 5,
"observedSuccesses": 2,
"probabilityMode": "exact",
"decimalPlaces": 4
}
}
}Questions or issues? Contact [email protected]
| decimalPlaces |
| number |
| No |
| — |
JSON result
{
"key": {...},
"metadata": {
"key": "value"
},
"error": "Error message (optional)",
"message": "Notification message (optional)"
}