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X 4.5.31 Assigned Media | Question Help * Testing for a disease can be made more

ID: 3320883 • Letter: X

Question

X 4.5.31 Assigned Media | Question Help * Testing for a disease can be made more efficient by combining samples. If the samples from six people are combined and the mixture tests negative, then all six samples are negative. On the other hand, one positive sample wil always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.1, find the probability of a positive result for six samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary?

Explanation / Answer

probability of a positive test result =1-P(all testing samples are negative ) =1-(0.9)6 =0.469

option C is correct