{"uid":"cap_JzUDbmsSrHuGcoO_UCLyx","slug":"at-least-one-solo-block-probability-distribution-histogram-6bc376c4","name":"At-least-one Solo Block Probability — Distribution Histogram","description":"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.","url":"https://market.datapackvibe.com/x402/assistant-bx-mining-block-probability-histogram?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"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}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.01","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.01/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_2czkdT_yZRznaqtImXxSB","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.01","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes and returns a distribution histogram of the probability of finding at least one solo block, given supplied mining rate and duration assumptions.","exampleAgentPrompt":"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.","exampleUseCases":[{"title":"Solo miner evaluating odds over time","prompt":"I'm solo mining and expect about 0.005 blocks per day. Can you generate a 10-bin probability histogram showing how my chances of finding at least one block change over 200 days, and compare it with a scenario where I get 0.008 blocks per day over 150 days?"},{"title":"Comparing two mining rigs","prompt":"I have two rigs: rig A expects 0.02 blocks per day over 90 days, and rig B expects 0.015 blocks per day over 120 days. Give me a distribution histogram with 8 bins showing the at-least-one solo block probability for both so I can compare them."},{"title":"Long-horizon solo mining probability analysis","prompt":"Can you compute a 20-bin histogram of the probability of finding at least one solo block over a very long mining run — say, 0.001 expected blocks per day over 5000 days, alongside a scenario of 0.002 blocks per day over 3000 days?"}],"resultDescription":"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.","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-19T19:06:07.924Z","isFirstParty":false,"canonicalSlug":"at-least-one-solo-block-probability-distribution-histogram-6bc376c4"}