Question Help * Testing for a disease can be made more efficient by combining sa

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Question Help * Testing for a disease can be made more efficient by combining samples. If the samples from two people are combined and the mixture tests negative, then both samples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.2, find the probability of a positive result for two samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary? The probability of a positive test result is (Round to three decimal places as needed.) Is the probability low enough so that further testing of the individual samples is rarely necessary? 0 A. O B. ° C. 0 D. The probability is not low, so further testing of the individual samples will be a rarely necessary event The probability is not low, so further testing of the individual samples will not be a rarely necessary event. The probability is not low, so further testing will not be necessary for any of the mixtures. The probability is not low, so further testing will be necessary for all of the combined mixtures.

Explanation / Answer

Solution:- There are three ways to get a positive result:

Both positive, and 2 ways one positive.

We get (0.2)(0.2) + 2(0.8)(0.2) = 0.360

option B.The probability is not low, so further testing of the individual samples will not be a rarely necessary event.

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