Exercise 5 You are given a coin with unknown bias. You have no prior knowledge about the coin and decide to perform an experiment by tossing it 6 times. It shows up Heads 4 times. (i) What's the probability the next toss will be a Head? (ii) What's the probability the next 3 tosses will be all Heads? (iii) What's the probability you will get 3 Heads in the next 5 tosses? (Hint: Laplace's rule of succession. For the last part, you need to take into account different possible orders of getting Heads.)

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