This immediately clarifies why the identification
problem is *not* a simple binomial problem. One could have (mistakenly)
thought that for each judge there is a probability *p* that they will identify
a single wine correctly, and thus the probability of identifying *x* out of *n *
wines would just be [*n!/x!(n-x)!]p*^{x}(1-p)^{n-x}. This is clearly incorrect for
the case we are considering.

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