Probability guide
Independent Random Events Explained
Events are independent when the result of one does not change the probability distribution of another. A fair new round uses its own inputs; previous wins or losses do not create a debt.
Independence is about probabilities
Independence does not mean results alternate or look evenly mixed over short periods. It means knowing the past does not change the probability assigned to the next event.
Random sequences contain patterns
Runs, clusters and repeated symbols are expected somewhere in a long random sequence. Human pattern recognition can make those normal clusters feel designed.
Verification and testing
A fairness receipt can help reproduce a committed round. Statistical testing across many rounds can identify some implementation problems, but neither turns past outcomes into a strategy.
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