Question

When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial samples of different 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 for the virus is 0.09.

Answer 1

Answer :

• The wording of the inquiry is. . .off. The inquiry is stating, we join three blood tests into one, and test the resultant blend.
• On the off chance that the whole blend tells the truth or negative - that implies ALL three of the people whose blood we tested are spotless, or infection free.
• Assuming in any case, it returns positive for an infection - that implies one, two or every one of them are debilitated.
• The inquiry at that point needs to realize what is the likelihood of getting a positive test - i.e., what is the likelihood the blend returns demonstrating the nearness of an infection.
• You could do every one of the three case (one has it, two have it, each of the three have it) - or you could do what the individual above did :

1-P(Noone has it).

That is the place he/she get

1-0.91^3.