In a blood testing procedure, blood samples from 6 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 0.1, what is the probability that the mixture will test positive?

1 answer

The probability that an individual sample tests negative is 1 - 0.1 = 0.9.
Since the mixture will only test negative if all the individual samples are negative, the probability that the mixture will test negative is (0.9)^6 = 0.531441.
Therefore, the probability that the mixture will test positive is 1 - 0.531441 = 0.468559. Answer: \boxed{0.468559}.