# Bay's Theorem

A special test is given to people complaining of sever headaches. If someone has a brain tumor, the test is positive with a probability of .8 (80%). If they have no tumor, the test is positive with a probability of .1 (10%). only 4% (.04) of those tested actually have brain tumors. What is the probability of someone who tested positive has a brain tumor.

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#### Solution Summary

The solution provides step-by-step method for the calculation of probability using Bays theorem. Formula for the calculation and Interpretations of the results are also included.

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