TITLE: Bridge HCP held by the best hand at the table?
QUESTION [7 upvotes]: In the game of Bridge, what is the expected number of high card points held by the player holding the most high card points at the table? $A=4$, $K=3$, $Q=2$, $J=1$.

REPLY [2 votes]: Empirically the expected maximum is about $15.1$, with a median of $15$ and mode of $14$.  
The distribution looks like this:

For scores of 21 or more, the probabilities for each score are four times those shown by Durango Bill