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E[X]|Y] = k P[X = xk|Y = Ye]{Y=ye}, l=1 k=1 Xk P-a.s. P[Y=ye]>0 Consider the following concrete example: A fair die is rolled twice.

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E[X]|Y] = k P[X = xk|Y = Ye]{Y=ye}, l=1 k=1 Xk P-a.s. P[Y=ye]>0 Consider the following concrete example: A fair die is rolled twice. We let X = the outcome of the first roll, Y = (1, if the sum of the outcomes is > 5, 0 otherwise Calculate E[X|Y] and E[Y|X] using the result from (a).

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