To reduce laboratorycosts, water samples from five 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 pastresults, there is a 0.003 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from five public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarelynecessary?

The probability of a positive test result is

nothing

.

(Round to three decimal places asneeded.)