in a blood test procedure, blood samples from 6 people are combined into one mix

Question

in a blood test 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 0.12, what is the probability that the mixture will test positive? a)0.536 b)0.00000299 c)0.063 d)0.464 e)1.00 f) none of these in a blood test 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 0.12, what is the probability that the mixture will test positive? a)0.536 b)0.00000299 c)0.063 d)0.464 e)1.00 f) none of these in a blood test 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 0.12, what is the probability that the mixture will test positive? a)0.536 b)0.00000299 c)0.063 d)0.464 e)1.00 f) none of these

Explanation / Answer

P(positive)=0.12 thus P(negative)=1-0.12=0.88

P(tests positive)=1-P(negative)^6 or 1-(-.88)^6=0.536 . option A

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