Descending Monkey
A monkey is on the tenth floor of a building. The monkey plans a path through the building over the next 6 minutes:
- At the end of every minute, the monkey either stays where it is or moves to some floor below it.
- The lowest floor is the ground floor (floor 0).
- Each path that the monkey can take over 6 minutes is equally likely.
What is the probability that the monkey reaches the ground floor exactly at the end of the sixth minute?
The answer is 0.375.
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