A rare genetic disease is discovered. Although only one in a million people carry it, you consider getting screened. You are told that the genetic test is extremely good; it is 100% sensitive (it is always correct if you have the disease) and 99.99% specific.

a) Find the probability of still being healthy given that the results of the test turned positive.

[You have to find False positive rate =P (T + |D-)

b) Having the result, will you decide not to take the test? Why?