Suppose that 3% of all adults suffer from diabetes and that 32% of all adults are obese. Suppose also that 2% of all adults both are obese and suffer from diabetes.
(a) Find the probability that a randomly chosen adult is obese, given that he or she suffers from diabetes. Round your answer to 2 decimal places.
(b) Find the probability that a randomly chosen adult who is obese also suffers from diabetes. Round your answer to 2 decimal places.