# Random Picks Not So Random

Probability Level 3

Andy picks a number uniformly from $\{0,1 \}$.
Brandy picks a number uniformly from $\{ 0, 1, 2 \}$.
Candy picks a number uniformly from $\{ 0, 1, 2, 3 \}$.
Dandy picks a number uniformly from $\{ 0, 1, 2, 3, 4 \}$.
Endy picks a number uniformly from $\{ 0, 1, 2, 3, 4, 5 \}$.

What is the probability that these 5 numbers in that order are non-decreasing?

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