# Binomial Probability Calculator

> Binomial Probability Calculator is a paid API for AI agents from kihustle.tech, paid per call via x402, $0.002/call, status unknown (last checked 2026-09-14).

Computes the binomial probability P(X=k) given the number of trials n, number of successes k, and probability of success p.

## Facts

- Endpoint: POST https://kihustle.tech/agents/api/v1/binomial-probability
- Price: $0.002/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/binomial-probability-calculator-ef18b556
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_U3OY_5Rc6dHEB-QJmZdMB

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability binomial-probability-calculator-ef18b556 -d '<json body>'
```

Example prompt: What's the exact probability of getting exactly 3 successes in 10 trials where each trial has a 0.4 probability of success?

## When to prefer this

Use this endpoint when you need a quick, pay-per-call binomial probability computation without setting up a local math library or statistical environment. Suitable for agents that need occasional point-probability lookups for discrete binary-outcome scenarios such as quality control, A/B testing analysis, or risk modeling.

## Known failure modes

- Invalid k or n values (e.g. k > n, negative integers) may return an error or unexpected result
- p outside [0,1] range will likely cause a computation error
- Missing required parameters (k, n, or p) may return a 400-level error
- Non-integer values for k or n may be rejected or produce incorrect results

## How this service works

Kostenlose Guides, Solo-Playbooks und Artikel zu KI, Automation und Side Hustles — für Menschen, die mit echten Systemen online Einkommen aufbauen wollen. Transparent finanziert über faire Affiliate-Links.

## Output

Returns a JSON object with a computed binomial probability result (the probability mass function value P(X=k)) and a status field confirming successful computation.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "k": {
   "type": "integer"
  },
  "n": {
   "type": "integer"
  },
  "p": {
   "type": "number"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "json",
 "example": {
  "result": "processed",
  "status": "success"
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/binomial-probability-calculator-ef18b556/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from kihustle.tech](https://www.zero.xyz/host/kihustle.tech/llms.txt)