Perfect Euchre Deal: Probability of All Players Having 5 Trump

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In a euchre deal, the probability of all four players receiving perfect potential lay-down hands, consisting of the five highest trump cards in different suits, is effectively zero. This is primarily due to the impossibility of two players being dealt both the right and left bower of the same color, which are essential for achieving such hands. The discussion highlights the constraints of card distribution in euchre, emphasizing that the presence of the bowers complicates the likelihood of this scenario occurring.
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What is the probability that, in a single euchre deal, all four players will be dealt perfect potential lay-down hands (5 highest trump cards), each player in a different suit?
 
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DaveC426913 said:
What is the probability that, in a single euchre deal, all four players will be dealt perfect potential lay-down hands (5 highest trump cards), each player in a different suit?

Wouldn't it be zero since it's impossible for two players to get both the right and left bower of the same color? Or are you excluding the left bower?[/color]
 
BobG said:
Wouldn't it be zero since it's impossible for two players to get both the right and left bower of the same color?[/color]

:biggrin:
 
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