I like the card game bridge and play in local duplicate club tournaments about twice a week. Depending on the game or the preference of the director, the hands that are played are either shuffled and dealt by the players at the beginning of the session or are hands that have been previously generated by a computer and arranged by a dedicated card sorter.
In bridge, each of the four players starts with 13 cards and if the deck of cards has been completely randomized before being dealt, the distribution of the four suits (in any order) can vary from somewhat even distributions such as 4-4-3-2 (21.6% probability) to the next most likely 5-3-3-2 (15.5%), 5-4-3-1- (12.9%). 5-4-2-2- (10.6%), 4-3-3-3 (10.5%) and then starts dropping sharply until it gets to 9-3-1-0 (0.01%). More skewed distributions are even rarer. (The Official Encyclopaedia of Bridge (1984))
A common refrain that I hear from players at the table is that they feel that the hands that are generated by the computer tend to have more skewed distributions than the ones shuffled and dealt at the table. They think that whoever is in charge of the computer that generates the hands tend to program it that way in order to provide greater challenge. I heard this so often that I became curious if this was the case and looked it up to see if there was anything to this bit of bridge folklore.
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