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Results tagged with probability
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user 65685
For questions about probability, probability theory, probability distributions, expected values and related matters. Purely mathematical questions should be asked on Math.SE.
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Microstates, Distribution of Particles, and the Probability of an Empty Compartment
My first instinct is to say that the probability of one specific compartment being empty is $p^{-N}$, and thus the probability of any of the $p$ compartments being empty is $ \frac{p}{p^N} = p^{-(N-1)} … So then for one specific compartment being empty, the probability is
$$
\frac{(p-1)^N}{p^N}
$$
and so the probability of any of the compartments being empty is
$$
\frac{p(p-1)^N}{p^N}
$$
But for some …
- 141