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- Problem Statement
- A girl spends M hours daily (out of 24) in local pubs. The town has N pubs but she doesn't have a preference so she can be found in any of them with an equal chance. We start looking for her. After checking N-1 pubs we still haven't found her. What's the probability that she's in the last one?

- Relevant Equations
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What I can't understand from the problem is that whether she stays at a certain pub for M hours, or she visits more pubs and goes home after M hours.

If it's the first case, then I think the answer is ##\frac{M}{24}\frac{1}{N}##.

This problem is posted as a harder one so I suppose it has to be the second case but I don't see where does this make the answer more complicated.

If it's the first case, then I think the answer is ##\frac{M}{24}\frac{1}{N}##.

This problem is posted as a harder one so I suppose it has to be the second case but I don't see where does this make the answer more complicated.