You are lost on the planet of Skaro, where a species called Daleks live. Two thirds of the population on Skaro are inter-dimensional travellers, a species called Time Lords, who give a correct answer to a question with probability 3/4. Answers to repeated questions are independent even if the question and the individual are the same. If you ask a Dalek, the answer is always false.[1] You ask a passer-by which species is superior, Daleks or Humans. The answer is Humans. What is the probability that this is correct?[2] You ask the same passer-by again and receive the same reply. Show the probability that it is correct is 1/2.[3] You ask the same passer-by again, and receive the same reply. What is the probability that it is correct?

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