The key to proving fairness in RNG-based games lies in implementing a "commit-reveal" scheme that makes it mathematically impossible to manipulate the outcome after seeing the bets. Here's how it typically works: Pre-commitment: Before any bets are placed: Generate a random seed/number Create a cryptographic hash of this number (plus optional salt) Publish this hash publicly Betting Period: Players place their bets while only knowing the hash Reveal: After betting closes: The original seed/number is revealed

Anyone can verify that: a) The hash matches the revealed number (proving it wasn't changed) b) The number is used in a deterministic way to generate the outcome

The critical point is that once the hash is published, it's cryptographically impossible to find a different number that would produce the same hash.

This means: We can't change the number after seeing the bets We can't "work backwards" from desired outcomes to find a matching number

The number must have been chosen before any bets were placed To further enhance transparency: Use a verifiable source of randomness for the initial seed (like blockchain block hashes)

Make the entire process open source Provide tools for users to verify each step independently This system mathematically proves that: The outcome was determined before betting started It couldn't be modified based on betting patterns The operator cannot manipulate the result

The beauty of cryptographic proofs is that you don't have to trust the operator - you can verify everything yourself!