Question: When testing for COVID infections, it can be more efficient and less expensive to combine samples. If samples from three people are combined and the

When testing for COVID infections, it can be more efficient and less expensive to combine samples. If samples from three people are combined and the mixture tests negative, we know all three individual samples are negative. What is the probability that a combined sample tests positive given that the individual sample infection rate is 0.1 (the probability for the 'at risk'population)?

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