Question

In a blood testing procedure, blood samples from 4 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 0.08, what is the probability that the mixture will test positive?

Answer 1

Prob(individual samole is negative) = 1 - 0.08 = 0.92

Prob( all 4 negative) = 0.92^4 = 0.716

So probability that 1 or more are positive (so that mixture tests positive) = 1 - 0.716 = 0.284 Answer

Answer 2

Answer: 0.2836071

Explanation:

Given : In a blood testing procedure, blood samples from 4 people are combined into one mixture.

Probability that an individual sample tests positive = 0.08

Then , Probability that an individual sample tests negative= 1-0.08=0.92

Since , the mixture will only test negative if all the individual samples are negative.

Then, the probability that the mixture will test positive = 1- P(all test negative)

`=1-(0.92)^4\\\\=1-0.71639296\\\\=0.2836071`

Hence , the probability that the mixture will test positive = 0.2836071