Nemo is a little fish who happens to be lost in a sea cave that is very dark. Nemo is in a room in the cave and there are 3 tunnels that connect to the room. One tunnel leads directly out of the cave after a two hour swim. One tunnel leads back to the room after an hour long swim. One tunnel leads back to the room after a three hour long swim. Since the room is very dark, Nemo cannot tell which tunnel is which. What is the expected length of time that Nemo stays in the cave?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Nemo is a little fish who happens to be lost in a sea cave that is dark.
very
Nemo is in a room in the cave and there are 3 tunnels that connect to the room. One
tunnel leads directly out of the cave after a two hour swim. One tunnel leads back to the
room after an hour long swim. One tunnel leads back to the room after a three hour long
swim. Since the room is very dark, Nemo cannot tell which tunnel is which. What is the
expected length of time that Nemo stays in the cave?
Transcribed Image Text:Nemo is a little fish who happens to be lost in a sea cave that is dark. very Nemo is in a room in the cave and there are 3 tunnels that connect to the room. One tunnel leads directly out of the cave after a two hour swim. One tunnel leads back to the room after an hour long swim. One tunnel leads back to the room after a three hour long swim. Since the room is very dark, Nemo cannot tell which tunnel is which. What is the expected length of time that Nemo stays in the cave?
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