Brand X supposedly brings speedy relief for headaches, neuritis, and neuralgia. As a doctor you know that it cures 75 percent of the cases of headache, 50 percent of neuritis, and 25% of neuralgia. A patient whom you believe equally likely to have any of these three diseases is given the standard advice, “Take two Brand X and go to bed”. The next day the patient refuses to pay the bill since your advice did no good.
(a) Draw the probability table for this problem.
(b) Use the table to determine the chances of the patient having each disease and use these values to decide which is the most likely disease.