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Probability, Bayes, Theorem

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The Question is:
Suppose that 400 pregnant women take a home pregnancy test, and 397 of them test "positive" and the other 3 test "negative." Suppose also that 200 nonpregnant women take the test, and 184 of them test "negative" and the remaining 16 test "positive." What is the probability that a woman who tests positive is actually pregnant?

Now, there is a lot of information included in this problem and I am clueless on what to do with all these numbers.

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Solution Summary

This solution is comprised of a detailed explanation to answer what is the probability that a woman who tests positive is actually pregnant.

Solution Preview

Let A = (truely) pregnant, and B = test positive (no matter whether truely pregnant)
We have 400+200 = 600 ...

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