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Missing Card Experiment

Description

In a bridge deal, \(k\) cards in particular suit belong to the opponents, East and West. If \(X\) denotes the number of these cards that belong to East, so that \(Y = k - X\) belong to South, then the (unordered) split is determined by the random variable \(U = \min\{X, Y\}\). Specifically, if \(U = j\) then one of the opponents has \(j\) of the card and the other has \(k - j\). Random variable \(X\) and \(Y\) have identical hypergeometric distributions with parameters 26, \(k\) and 13. The parameter \(k\) can be varied from 1 to 13 with the scrollbar.