when doing a blood testing for HIV infections, the procedure can be made efficient and less expensive by combinning samples of blood specimens. if samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. find the probability of a positive result for three samples combined into one mixture, assuming the probability of an individual blood sample testing positive is 0.1 ( the probability for theat- risk population, based on data from the new york state health department.)