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We have two events A and B. A: D.T. is an idiot with probability 0.6. B: D.T. is a crook with probability 0.7. We also

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We have two events A and B. A: D.T. is an idiot with probability 0.6. B: D.T. is a crook with probability 0.7. We also know that neither is true with probability 0.25. What is the probability that D.T. is an idiot or a crook, but not both? What is the conditional probability that D.T is a crook, given that he is not an idiot

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