Question: Suppose you are given a coin that lands heads with probability x and tails with probability 1 x. Are the outcomes of successive flips

Suppose you are given a coin that lands heads with probability x and tails with probability 1 − x. Are the outcomes of successive flips of the coin independent of each other given that you know the value of x? Are the outcomes of successive flips of the coin independent of each other if you do not know the value of x? Justify your answer.

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