# Delx Parlay Probability (Independent Events)

> Delx Parlay Probability (Independent Events) is a paid API for AI agents from api.delx.ai, paid per call via x402, $0.001/call, status unknown (last checked 2026-09-14).

Computes the combined probability of multiple independent events all occurring (parlay probability) given an array of individual probabilities.

## Facts

- Endpoint: POST https://api.delx.ai/api/v1/x402/parlay-prob-indep
- Price: $0.001/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/delx-parlay-probability-independent-events-78b094ec
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_SV9nu1w4Swb88QQ9bxU2e

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 delx-parlay-probability-independent-events-78b094ec -d '<json body>'
```

Example prompt: Calculate the combined probability that all three of these independent events happen: a 50% chance, a 40% chance, and a 60% chance — give me the parlay probability.

## When to prefer this

Use this endpoint when you need to compute the joint probability of multiple statistically independent events all occurring — such as multi-leg parlays, chained pipeline success rates, or compounding risk conditions. Prefer this over manual multiplication when working inside an agent workflow that needs a clean, schema-validated computation with a consistent output format. Not appropriate for correlated events or conditional probabilities.

## Known failure modes

- Missing or empty probs array returns a validation error
- Probabilities outside [0,1] range may produce invalid results or an error
- Non-numeric values in the probs array cause a parsing or type error
- Very large arrays may result in floating-point underflow producing near-zero results

## How this service works

Independent parlay probability as product of leg probabilities. Call when rough multi-leg combo probability when assuming independence. Returns combined probability and n legs as deterministic JSON for $0.001 USDC via x402 on Base. First-party local math only—no RPC, live market feed, API keys, storage, or mediagen. Advisory only; the caller owns capital, risk, and production controls.

## Output

Returns a JSON object containing the number of input events (n), the original probability array (probs), a schema identifier (schema: 'delx/util-parlay-prob-indep/v1'), and the computed parlay_prob — the product of all input probabilities representing the joint probability of all independent events occurring.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "probs": {
   "type": "array",
   "description": "Input field: probs."
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "json",
 "example": {
  "n": 3,
  "probs": [
   0.5,
   0.4,
   0.6
  ],
  "schema": "delx/util-parlay-prob-indep/v1",
  "parlay_prob": 0.12
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/delx-parlay-probability-independent-events-78b094ec/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from api.delx.ai](https://www.zero.xyz/host/api.delx.ai/llms.txt)