In a blood testing procedure blood samples from 6 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative. If the probability that an indiv?

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1184372

2026-07-17 13:30

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If the probability that an individual sample is negative is ( p ), then the probability that all 6 samples are negative (and thus the mixture tests negative) is ( p^6 ). Conversely, the probability that at least one sample is positive (and thus the mixture tests positive) is ( 1 - p^6 ). Therefore, the outcome of the mixture test depends significantly on the value of ( p ).

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