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I don't know the contents of the box or have an idea of what the size distribution of all the dice is. For background, this is for a set of experiments with a pass/fail outcome (A/B in the picture, not necessarily 5/6, could be 7/10, 3/20 etc.). I'm interested in knowing how many repeat tests would be necessary before you can say you've gotten to the 'true' pass probability. Relating it to dice faces was me trying to give a better / more easily visualised example (maybe it isn't better).