A test for AIDS is 99% successful, i.e. if you are HIV+ it will detect it in

Question:

A test for AIDS is 99% successful, i.e. if you are HIV+ it will detect it in 99% of all tests, and if you are not, it will again be right 99% of the time. Assume that about 1% of the population are HIV+. You take part in a random testing procedure, which gives a positive result. What is the probability that you are HIV+? What implications does your result have for AIDS testing?

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