How to Use the Gacha Probability Manipulation Verifier
This tool statistically compares your actual gacha results against the stated probability using Z-score analysis. The Z-score measures how many standard deviations your result is from the expected value โ a measure of how unusual or "off" your results are.
Z-score thresholds: |Z| โค 1 is normal, โค 2 is a mild deviation (roughly 5% of outcomes), โค 3 is uncommon (about 0.3%), and above 3 is statistically very rare. Note: this is a statistical reference tool and does not prove or disprove manipulation.
Z-Score Formula
Standard deviation ฯ = โ(n ร p ร (1โp)). Z = (Actual Hits โ Expected Hits) / ฯ.
Frequently Asked Questions
Whether Z is positive (over-hitting) or negative (under-hitting), a large absolute value is statistically unusual. Over-hitting is typically good luck for the player, so it tends to attract less concern than under-hitting.
Yes โ combining data from many players increases statistical power significantly. Community-aggregated data across thousands of pulls is far more reliable than any individual's sample.