hamsterofdeath2
New member
- Joined
- Apr 30, 2018
- Messages
- 9
hi everyone,
i am stuck at the following problem:
we're living in a postapocalyptic world. we know that 2% of all people are going to turn into zombies.
in our case, there are 100 people to be tested. lazy as we are we don't test one by one. instead take a blood sample of each person, mix it, and perform a test. the test tells us that there is at least one zombie among the people, so we didn't get away with just one test ;(
now the question i've been trying to answer for days:
if i take a mixed blood sample of N people, how do i calculate the probability of a positive result?
had i not done the first initial test, it would just be 0.98^N to get the probability that my N people are fine. what's the function/formula for my new case?
i am stuck at the following problem:
we're living in a postapocalyptic world. we know that 2% of all people are going to turn into zombies.
in our case, there are 100 people to be tested. lazy as we are we don't test one by one. instead take a blood sample of each person, mix it, and perform a test. the test tells us that there is at least one zombie among the people, so we didn't get away with just one test ;(
now the question i've been trying to answer for days:
if i take a mixed blood sample of N people, how do i calculate the probability of a positive result?
had i not done the first initial test, it would just be 0.98^N to get the probability that my N people are fine. what's the function/formula for my new case?