# At-least-one Solo Block Probability — Weighted Result Mean

> At-least-one Solo Block Probability — Weighted Result Mean is a paid API for AI agents from market.datapackvibe.com, paid per call via x402, $0.01/call, status unknown (last checked 2026-10-15).

Computes the weighted mean of at-least-one solo mining block probability across multiple (expected_blocks_per_day, days) scenarios using caller-supplied weights.

## Facts

- Endpoint: POST https://market.datapackvibe.com/x402/assistant-bx-mining-block-probability-weighted-mean?utm_source=zero.xyz
- Price: $0.01/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/at-least-one-solo-block-probability-weighted-result-mean-59cb2feb
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_VWM6Cp8z9N6N-dYHwKxiA

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 at-least-one-solo-block-probability-weighted-result-mean-59cb2feb -d '<json body>'
```

Example prompt: Can you calculate the weighted mean probability of mining at least one solo block across two scenarios — one where I expect 0.01 blocks per day for 100 days with weight 1, and another where I expect 0.011 blocks per day for 110 days with weight 2?

## When to prefer this

Choose this endpoint when you need to aggregate multiple solo mining probability scenarios into a single weighted summary statistic rather than evaluating each scenario individually. It is ideal when different scenarios have different importance or frequency weights and you want one representative probability figure. Prefer it over single-scenario endpoints when performing sensitivity analysis, comparing mining assumptions, or summarizing across multiple rigs or time horizons.

## Known failure modes

- Fewer than 2 rows supplied — minItems:2 validation error
- Fewer than 2 weights supplied — minItems:2 validation error
- Mismatched array lengths between rows and weights
- Non-positive values for expected_blocks_per_day or days — exclusiveMinimum:0 constraint
- More than 200 rows or weights — maxItems:200 exceeded
- Payment not included or insufficient — x402 payment required error
- Malformed JSON body — request parsing failure

## How this service works

At-least-one solo block probability — Weighted result mean: Weighted result mean for At-least-one solo block probability. Supplied mining assumptions only; formula and units disclosed. No live prices, mining or guaranteed return. Specialised preset in a shared 50-profile, 20-operation engine. 0.01 USDC includes one bounded weighted result mean report.

## Output

A bounded weighted result mean report containing the weighted average of the at-least-one solo block probability across the supplied scenario rows, calculated using the provided weights and the standard Poisson-based formula. The report includes the formula and units used, and is scoped to the supplied mining assumptions only — no live prices or guaranteed returns.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "rows": {
   "type": "array",
   "items": {
    "type": "object",
    "required": [
     "expected_blocks_per_day",
     "days"
    ],
    "properties": {
     "days": {
      "type": "number",
      "default": 100,
      "maximum": 10000000000000000,
      "minimum": 0,
      "exclusiveMinimum": 0
     },
     "expected_blocks_per_day": {
      "type": "number",
      "default": 0.01,
      "maximum": 10000000000000000,
      "minimum": 0,
      "exclusiveMinimum": 0
     }
    },
    "additionalProperties": false
   },
   "default": [
    {
     "days": 100,
     "expected_blocks_per_day": 0.01
    },
    {
     "days": 110.00000000000001,
     "expected_blocks_per_day": 0.011000000000000001
    },
    {
     "days": 100,
     "expected_blocks_per_day": 0.01
    },
    {
     "days": 110.00000000000001,
     "expected_blocks_per_day": 0.011000000000000001
    }
   ],
   "maxItems": 200,
   "minItems": 2
  },
  "weights": {
   "type": "array",
   "items": {
    "type": "number",
    "default": 1,
    "maximum": 1000000000000,
    "minimum": 0
   },
   "default": [
    1,
    2,
    1,
    2
   ],
   "maxItems": 200,
   "minItems": 2
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/at-least-one-solo-block-probability-weighted-result-mean-59cb2feb/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from market.datapackvibe.com](https://www.zero.xyz/host/market.datapackvibe.com/llms.txt)