# Question: suppose that x is uniformly selected from the numbers 1...

###### Question details

Suppose that X is uniformly selected from the numbers
1, 2, 3 (that is, P(X = i) = 1/3 for

i = 1, 2, or 3). Once X is selected, Y is chosen uniformly from the
numbers 0, 1, ..., X. Find

E[X | Y ].