In a blood testing procedure, blood samples from 5 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative.If the probability that an individual sample tests positive is 0.12, what is the probability that the mixture will test positive?
A)0.528
B)0.0144
C)1.00
D)0.0000249
E)0.472

Question

Quizplus · Accepted Answer

The probability that an individual sample tests negative is 1 - 0.12 = 0.88. Therefore, the probability that all 5 samples test negative (and thus the mixture tests negative) is 0.88^5 = 0.528224. The probability that the mixture tests positive is 1 minus this value, which is 1 - 0.528224 = 0.471776, approximately 0.472.

In a Blood Testing Procedure, Blood Samples from 5 People