Probability That the Sample Maximum Equals a Given Value
An urn contains $n$ balls numbered
, 2, \ldots, n$. We draw $r$ balls uniformly at random without replacement.
Compute the probability that the largest number among the drawn balls is exactly $m$, where
\leq m \leq n$ and $r \leq n$.
Evaluate for $n = 10$, $r = 3$, $m = 7$.
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