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  "id": "bitcoin-solo-mining-odds",
  "canonical": "https://degreesofsatoshi.com/encyclopedia/bitcoin-solo-mining-odds/",
  "collection": "bitcoin",
  "title": "Solo Bitcoin mining odds: expected time is not a deadline",
  "description": "Estimate solo Bitcoin mining odds without turning an expected waiting time into a promised reward date.",
  "aliases": [
    "solo bitcoin mining odds",
    "solo bitcoin mining odds explained"
  ],
  "dates": {
    "published": "2026-10-02",
    "modified": "2026-10-02",
    "verified": "2026-10-02T19:29:20.637Z",
    "dataAsOf": "2026-10-02"
  },
  "authorship": {
    "publisher": "Degrees of Satoshi editorial project",
    "process": "AI-assisted research and drafting with a separate automated source-verification pass; no external expert or named human review is implied."
  },
  "quickAnswer": {
    "text": "A solo miner’s chance of finding a block is approximately its share of effective network hash rate under comparable operating conditions. Expected block counts describe an average across repeated possibilities; they do not schedule a win. A miner can find a block quickly or operate much longer than the expected wait without one. Network conditions, downtime and valid-block propagation also affect practical results.",
    "claimId": "bitcoin-solo-mining-odds-quick-answer",
    "sourceIds": [
      "x425-btc-dev-mining",
      "x425-btc-pool-payouts",
      "x425-btc-whitepaper"
    ]
  },
  "keyFacts": [
    {
      "label": "Share estimate",
      "value": "Miner hash rate divided by network hash rate",
      "sourceIds": [
        "x425-btc-pool-payouts"
      ],
      "id": "share-estimate",
      "claimId": "bitcoin-solo-mining-odds-fact-share-estimate"
    },
    {
      "label": "Expected count",
      "value": "Hash share times assumed network block count",
      "sourceIds": [
        "x425-btc-pool-payouts"
      ],
      "id": "expected-count",
      "claimId": "bitcoin-solo-mining-odds-fact-expected-count"
    },
    {
      "label": "No deadline",
      "value": "An average wait does not guarantee success",
      "sourceIds": [
        "x425-btc-whitepaper",
        "x425-btc-pool-payouts"
      ],
      "id": "no-deadline",
      "claimId": "bitcoin-solo-mining-odds-fact-no-deadline"
    }
  ],
  "prerequisites": [
    "bitcoin-hash-rate",
    "bitcoin-mining-pools"
  ],
  "sections": [
    {
      "id": "units",
      "heading": "Put both hash rates in the same units",
      "sourceIds": [
        "x425-btc-pool-payouts"
      ],
      "paragraphs": [
        "Assume a miner supplies 100 TH/s while the whole network supplies 1,000 EH/s. Because one EH/s equals one million TH/s, the network rate is 1,000,000,000 TH/s. The miner’s share is one ten-millionth.",
        "At an assumed network average of 144 blocks per day, the expected count is 0.0000144 blocks per day. The reciprocal is about 69,444 days, or 190.3 years using 365 days per year, if every assumption stayed fixed."
      ]
    },
    {
      "id": "probability",
      "heading": "Expected waiting time is not a countdown",
      "sourceIds": [
        "x425-btc-whitepaper",
        "x425-btc-pool-payouts"
      ],
      "paragraphs": [
        "Using a constant-rate Poisson approximation, that hypothetical miner has probability 1 − exp(−0.0000144) of at least one block in a day, approximately 0.00144%. The model assumes steady effective hash share and independent successful hash attempts.",
        "Waiting through an unsuccessful day does not make the next day owe the miner a block. The model’s expected wait can be long even though an early success remains possible."
      ]
    },
    {
      "id": "pool",
      "heading": "Pooling changes payout variance rather than creating extra hash work",
      "sourceIds": [
        "x425-btc-dev-mining",
        "x425-btc-pool-payouts"
      ],
      "paragraphs": [
        "A pool combines contributions and applies its payout rules, usually producing smaller, more frequent credits for individual miners. A solo service may supply infrastructure while still leaving the miner exposed to solo reward variance.",
        "Do not project the illustrative 190-year average as a real forecast. Difficulty, network hash rate, equipment reliability and operating strategy change; a claimed lucky outcome is not evidence that everyone can reproduce it."
      ]
    }
  ],
  "faq": [
    {
      "question": "Am I due for a block after reaching the expected waiting time?",
      "answer": "No. Under the constant-rate model, elapsed unsuccessful work does not create a scheduled future success. The expected value describes the distribution, not a deadline.",
      "sourceIds": [
        "x425-btc-whitepaper"
      ]
    },
    {
      "question": "Does a pool increase my machine’s physical hash rate?",
      "answer": "Joining a pool does not create additional calculations in the same hardware. It combines work and changes how rewards are shared and their variance.",
      "sourceIds": [
        "x425-btc-dev-mining"
      ]
    }
  ],
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      "statement": "A solo miner’s chance of finding a block is approximately its share of effective network hash rate under comparable operating conditions. Expected block counts describe an average across repeated possibilities; they do not schedule a win. A miner can find a block quickly or operate much longer than the expected wait without one. Network conditions, downtime and valid-block propagation also affect practical results.",
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      "sourceLocators": [
        {
          "sourceId": "source-d5271fde58f8f665",
          "locator": "Mining; Solo Mining; Pool Mining; Block Prototypes"
        },
        {
          "sourceId": "source-1277587efaa94027",
          "locator": "Mining pool payouts; Why do miners use a mining pool?; When should I consider solo mining?"
        },
        {
          "sourceId": "source-0e46aca4dbc5a030",
          "locator": "Sections 4, 6, 7, 10 and 11"
        }
      ],
      "scope": {
        "collection": "bitcoin",
        "dataAsOf": "2026-10-02",
        "blockHeight": null
      },
      "qualification": "Educational explanation. Product-specific behavior is scoped to the cited documentation, checked 2026-10-02.",
      "evidenceStatus": "documented",
      "verification": {
        "status": "verified",
        "method": "independent automated source review",
        "checkedAt": "2026-10-02T19:29:20.637Z",
        "reviewer": "Independent automated verification — Codex /root/verify_ethereum_100, separate from the Bitcoin drafting agent",
        "notes": [
          "Recomputed100TH/s versus1000EH/s, share10^-7,lambda0.0000144/day,69,444days,190.3years and0.00144%daily probability. These derive from an explicitly fixed-rate Poisson approximation, not a hardware or network forecast; elapsed failure is not accrued entitlement."
        ]
      }
    },
    {
      "id": "bitcoin-solo-mining-odds-fact-share-estimate",
      "articleSlug": "bitcoin-solo-mining-odds",
      "statement": "Share estimate: Miner hash rate divided by network hash rate",
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          "sourceId": "source-1277587efaa94027",
          "locator": "Mining pool payouts; Why do miners use a mining pool?; When should I consider solo mining?"
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        "notes": [
          "Recomputed100TH/s versus1000EH/s, share10^-7,lambda0.0000144/day,69,444days,190.3years and0.00144%daily probability. These derive from an explicitly fixed-rate Poisson approximation, not a hardware or network forecast; elapsed failure is not accrued entitlement."
        ]
      }
    },
    {
      "id": "bitcoin-solo-mining-odds-fact-expected-count",
      "articleSlug": "bitcoin-solo-mining-odds",
      "statement": "Expected count: Hash share times assumed network block count",
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        "source-1277587efaa94027"
      ],
      "sourceLocators": [
        {
          "sourceId": "source-1277587efaa94027",
          "locator": "Mining pool payouts; Why do miners use a mining pool?; When should I consider solo mining?"
        }
      ],
      "scope": {
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        "dataAsOf": "2026-10-02",
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        "notes": [
          "Recomputed100TH/s versus1000EH/s, share10^-7,lambda0.0000144/day,69,444days,190.3years and0.00144%daily probability. These derive from an explicitly fixed-rate Poisson approximation, not a hardware or network forecast; elapsed failure is not accrued entitlement."
        ]
      }
    },
    {
      "id": "bitcoin-solo-mining-odds-fact-no-deadline",
      "articleSlug": "bitcoin-solo-mining-odds",
      "statement": "No deadline: An average wait does not guarantee success",
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        "source-1277587efaa94027"
      ],
      "sourceLocators": [
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          "locator": "Sections 4, 6, 7, 10 and 11"
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        {
          "sourceId": "source-1277587efaa94027",
          "locator": "Mining pool payouts; Why do miners use a mining pool?; When should I consider solo mining?"
        }
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        "notes": [
          "Recomputed100TH/s versus1000EH/s, share10^-7,lambda0.0000144/day,69,444days,190.3years and0.00144%daily probability. These derive from an explicitly fixed-rate Poisson approximation, not a hardware or network forecast; elapsed failure is not accrued entitlement."
        ]
      }
    }
  ],
  "sources": [
    {
      "id": "x425-btc-dev-mining",
      "label": "Mining",
      "publisher": "Bitcoin developer documentation",
      "url": "https://developer.bitcoin.org/devguide/mining.html",
      "locator": "Mining; Solo Mining; Pool Mining; Block Prototypes",
      "note": "Hardware work, candidate blocks and pool shares; historical examples are not current equipment recommendations.",
      "version": "Developer guide; historical implementation details require qualification",
      "checkedAt": "2026-10-02T18:53:53.955Z",
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      "recordId": "source-d5271fde58f8f665"
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    {
      "id": "x425-btc-pool-payouts",
      "label": "Bitcoin Mining Pools: 101",
      "publisher": "f2pool",
      "url": "https://f2pool.io/mining/insights/20200318-mining-pools-101/",
      "locator": "Mining pool payouts; Why do miners use a mining pool?; When should I consider solo mining?",
      "note": "Historical 2020 explanation used for share-based reward mechanics and statistical variance; not current subsidy, price, fees, payouts or pool recommendation.",
      "version": "Published 2020-03-18; historical example",
      "checkedAt": "2026-10-02T18:54:53.532Z",
      "contentSha256": "3803c5893982d51adf5977a2a9f1b2432930f29a0891ad97a56c8fada01bef81",
      "recordId": "source-1277587efaa94027"
    },
    {
      "id": "x425-btc-whitepaper",
      "label": "Bitcoin: A Peer-to-Peer Electronic Cash System",
      "publisher": "Satoshi Nakamoto",
      "url": "https://bitcoin.org/bitcoin.pdf",
      "locator": "Sections 4, 6, 7, 10 and 11",
      "note": "Independent hash attempts, incentives, transaction collaboration limits and Poisson block-arrival approximation.",
      "version": "2008 paper",
      "checkedAt": "2026-10-02T18:53:58.187Z",
      "contentSha256": "b1674191a88ec5cdd733e4240a81803105dc412d6c6708d53ab94fc248f4f553",
      "recordId": "source-0e46aca4dbc5a030"
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  "related": {
    "articles": [
      "bitcoin-hash-rate",
      "bitcoin-mining-pools",
      "bitcoin-difficulty-adjustment",
      "bitcoin-pool-payout-methods",
      "bitcoin-rejected-mining-shares"
    ],
    "dossiers": [],
    "wallets": []
  },
  "revisionHistory": [
    {
      "date": "2026-10-02",
      "kind": "published",
      "summary": "First publication after primary-source research and separate automated verification."
    }
  ],
  "citation": "Degrees of Satoshi editorial project. “Solo Bitcoin mining odds: expected time is not a deadline.” Published 2026-10-02; updated 2026-10-02. https://degreesofsatoshi.com/encyclopedia/bitcoin-solo-mining-odds/"
}