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Suppose that X1, X21 . . . , is a sequence of random variables. such that X1 ~ Unjfll, I), and for n = 1, 21 . . . , the conditional distribution of Xn+1 given X1, . . . ,X is uniform on [I], Xn]. Prove or disprove that X\" converges to 0 in probability, X\" P}~ E]