A card is picked at random from N cards labeled 1, 2, ... , N, and the number that appears is X. A second card is picked at random from cards numbered 1, 2, ... , X and its number is Y. Determine the...

A card is picked at random from N cards labeled 1, 2, ... , N, and the number that appears is X. A second card is picked at random from cards numbered 1, 2, ... , X and its number is Y. Determine the conditional distribution of X given Y = y, for y = 1, 2. ... .