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What Is ‘Probabilistic Finality’ in PoW?

Probabilistic finality means that a transaction is never 100% final but becomes exponentially more final as more blocks are mined on top of it. In PoW, a transaction is considered secure after a certain number of confirmations (e.g. six blocks).

While a chain re-organization is theoretically possible, the economic cost and computational power required to reverse a transaction after many confirmations make the probability of reversal negligible.

What Is the Difference between Probabilistic and Absolute Finality?
How Does ‘Probabilistic Finality’ Differ from ‘Economic Finality’?
How Does Increasing the Number of Block Confirmations Reduce the Risk of a Successful Reorg Attack?
How Does Transaction Finality Differ between Various Consensus Mechanisms?