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

> At-least-one Solo Block Probability — Distribution Histogram 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 and returns a distribution histogram of the probability of finding at least one solo block, given supplied mining rate and duration assumptions.

## Facts

- Endpoint: POST https://market.datapackvibe.com/x402/assistant-bx-mining-block-probability-histogram?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-histogram-6bc376c4
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_JzUDbmsSrHuGcoO_UCLyx

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-histogram-6bc376c4 -d '<json body>'
```

Example prompt: Show me a distribution histogram of the at-least-one solo block probability for two mining scenarios: one expecting 0.01 blocks per day over 100 days and another expecting 0.011 blocks per day over 110 days, using 10 bins.

## When to prefer this

Choose this endpoint when you need a statistical histogram of the at-least-one solo block probability based on custom mining assumptions (expected blocks per day and duration), and want to compare multiple scenarios in a single call. It is ideal for miners or analysts who need a distributional view rather than a single point estimate, and who want formula transparency without live market data dependencies.

## Known failure modes

- Invalid bin count (below 1 or above 30) returns validation error
- rows array with fewer than 2 items or more than 200 items rejected
- expected_blocks_per_day or days set to zero or negative rejected (exclusiveMinimum: 0)
- Missing required fields (expected_blocks_per_day or days) in any row causes error
- Payment of 0.01 USDC not fulfilled causes 402 Payment Required response

## How this service works

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

## Output

Returns a bounded distribution histogram report showing bin ranges and corresponding probabilities for the at-least-one solo block event, computed from the supplied expected_blocks_per_day and days parameters across the provided scenario rows. The report discloses the formula and units used but does not include live prices, live mining data, or guaranteed return projections.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "bins": {
   "type": "integer",
   "default": 5,
   "maximum": 30,
   "minimum": 1
  },
  "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-histogram-6bc376c4/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)