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In case I haven't explained that very well here's an example:

I have a bag containing black and white balls and I think that one quarter of the balls are black. I start drawing balls from the bag (and putting them back afterwards) and I keep drawing out white balls. If I were continue to pick only white balls how many times would this have to happen before I was 90% sure that less than ¼ balls were black?

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Q: In a binary system how many consequetive outcome A would be needed to show the probability of outcome B is less than 0.25 to 90 percent confidence?
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