Random Picks Not So Random

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

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

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