Question 1097027
Assume a population of 300000. 1 in 300 has the virus, or 1000 people. Out of those 1000, 85% or 850 will test positive, and 150 will test negative. Out of the 299,000 who don't have the virus, 269,100 will test negative, while 29,900 will test positive. So:
a)Given that someone has tested positive, they have a 850/850+29,900, or 0.02764227642276 probability of actually having the virus
b)Given the obverse of a, the person who tests negative has a 269,100/269,100+150, or 0.9994428969 probability of not having the disease
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