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Two statisticians go to the doctor and are both given the same prognosis: a 40% chance that the problem is the deadly disease a, and a 60% chance of the fatal disease b. fortunately, there are anti-a and anti-b drugs, both of which are 100% effective. the statisticians have the choice of taking one drug, both, or neither. what will the first statistician (an avid bayesian) do? what will the second (who always uses the maximum likelihood hypothesis) do?

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