# At-least-one Solo Block Probability — Distribution Summary

> At-least-one Solo Block Probability — Distribution Summary is a paid API for AI agents from market.datapackvibe.com, paid per call via x402, $0.01/call, status unknown (last checked 2026-10-19).

Computes a distribution summary for the probability that a miner finds at least one solo block over a given number of days, given an expected daily block rate.

## Facts

- Endpoint: POST https://market.datapackvibe.com/x402/assistant-bx-mining-block-probability-summary?utm_source=zero.xyz
- Price: $0.01/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-19
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/at-least-one-solo-block-probability-distribution-summary-af06cf77
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_MGVo72St7dr-Kakq-v3N_

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-distribution-summary-af06cf77 -d '<json body>'
```

Example prompt: Can you give me a distribution summary for the probability of finding at least one solo block if I expect 0.01 blocks per day over 100 days, and also for 0.011 blocks per day over 110 days?

## When to prefer this

Choose this endpoint when you need a concise statistical distribution summary (not just a single point estimate) of solo mining block probability across one or more scenarios defined by expected daily block rate and duration. Ideal for comparing mining configurations or understanding the spread of outcomes without requiring live price data or external oracles.

## Known failure modes

- Fewer than 2 rows provided — minimum row count not met
- More than 200 rows provided — exceeds maxItems limit
- days or expected_blocks_per_day set to 0 or negative — violates exclusiveMinimum constraint
- Missing required fields (days or expected_blocks_per_day) in any row — validation error
- Payment not included or insufficient — x402 payment required at $0.01 USDC

## How this service works

At-least-one solo block probability — Distribution summary: Distribution summary 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 distribution summary report.

## Output

A bounded distribution summary report detailing the statistical properties (e.g. mean, percentiles, spread) of the probability that at least one solo block is found, based on supplied expected_blocks_per_day and days values. No live prices or guaranteed returns are included — only formula-derived probability statistics.

## 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
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/at-least-one-solo-block-probability-distribution-summary-af06cf77/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)