Question 1084666
Consider 10000 patients.
If the incidence rate is 10 out of 100, then 1000 people will have the disease.
Out of those 1000, 950 will test positive. Out of the 9000 people who don't have the disease, 3%, or 270, will get a false positive. Therefore:
The possibility that a person who tests positive actually has the disease is 950/950+270, or 0.77868852459016393442622950819672.
The possibility that a person will get a false positive is 100-97, or 3%. ☺☺☺☺