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Review of the Mathematical Lottery Structure in Solo Bitcoin Mining 🪙

Review of the Mathematical Lottery Structure in Solo Bitcoin Mining 🪙
Review of the Mathematical Lottery Structure in Solo Bitcoin Mining 🪙

Background

* Solo Bitcoin mining is much like buying a lottery ticket where the odds of winning are exceptionally low but possible.
* Out of over 920,000 blocks mined in Bitcoin history, over 99.9% have been recorded by major pools (like Foundry and AntPool), and the share of solo miners has been only a few hundred blocks.
* The growth of home devices (such as Bitaxe and NerdMiner) and public pools (such as CKPool) has increased the popularity of this method in recent years.

Focus
📉 Actual probability and odds: The share of a miner with a power of 2.4 petahashes (PH/s) against the total network hashrate (around 950 to 1000 exahashes) is only about 0.00025%; meaning odds equivalent to 1 in 400,000 for each block.
📊 Independence of events: Bitcoin mining is subject to statistical independent variables; a miner might succeed on the first day or fail to find a block even after years of persistence.
⚠️ Economic instability: Solo mining is not considered a stable income strategy, and over 99% of this industry's revenue belongs to centralized pools.

💡 Prominent examples of solo mining

* Year 2024 (hashrate approx. 3 TH/s): Reward of 3.125 Bitcoin — First famous success with the Bitaxe home device.
* Year 2025 (hashrate approx. 6 TH/s): Reward of 3.146 Bitcoin — Estimated success probability of 1 in 180 million.
* Year 2026 (hashrate approx. 1 TH/s): Reward of 3.14 Bitcoin — Successful mining with Bitaxe via Public Pool.
* Year 2026 (hashrate approx. 2.4 PH/s): Reward of 3.157 Bitcoin — Recorded solo mining on Solo CK.

Implications
🛑 Lack of economic justification for continuous income due to high uncertainty and very low probability of return on investment.
📈 Technical proof of the stability of the Proof of Work (PoW) protocol and the fairness of Bitcoin's consensus mechanism in accepting the chances of all participants, regardless of their scale.

Conclusion
🎯 Although solo mining is not a smart method for earning a steady income, it is a symbol of the decentralization of the Bitcoin protocol, showing that the chance of winning for every hash generated on the network still exists 📊

#Bitcoin #Mining #Solo_Mining #Proof_of_Work #Hashrate

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