The Fairfield County Department of Public Health tests water for the presence if E. coli bacteria.

The Fairfield County Department of Public Health tests water for the presence if E. coli bacteria. To reduce laboratory costs, water samples from 10 public swimming areas are combined for one tests, and further testing is done only if the combined sample tests positive. Based on past results, there is a .005 probability of finding E. coli bacteria in a public swimming area. Find the probability that the combined sample from 10 public swimming areas will reveal the presence of bacteria. E. coli

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