To reduce laboratory costs, water samples from six public swimming pools are com

Question

To reduce laboratory costs, water samples from six public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive Based on past results, there is a 0.004 probability of finding bacteria in a public swimming area Find the probability that a combined sample from six public swimming areas will reveal the presence of bacteria Is the probability low enough so that further testing of the individual samples is rarely necessary? The probability of a positive test result is .

Explanation / Answer

the two individual events are independent or not. Independent events are not influenced by each other then if they are independent multiply them.

Here each public swimming pool is independent to each other... So probability of combined pool is=(.004)^6=4.096*10^-15

The probability is so low.that we don't need any further test for each sample.

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