Random Picks Not So Random

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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