Perfect Euchre Deal: Probability of All Players Having 5 Trump

  • Thread starter Thread starter DaveC426913
  • Start date Start date
AI Thread Summary
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.
DaveC426913
Gold Member
Messages
23,886
Reaction score
7,916
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?
 
Physics news on Phys.org
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:
 
Thread 'RIP George F. Smoot III (1945-2025)'

Thread 'RIP George F. Smoot III (1945-2025)'

https://en.wikipedia.org/wiki/George_Smoot https://physics.berkeley.edu/people/faculty/george-smoot-iii https://apc.u-paris.fr/fr/memory-george-fitzgerald-smoot-iii https://elements.lbl.gov/news/honoring-the-legacy-of-george-smoot/ https://www.nobelprize.org/prizes/physics/2006/smoot/facts/ https://www.aps.org/publications/apsnews/200611/nobel.cfm https://inspirehep.net/authors/988263 Structure in the COBE Differential Microwave Radiometer First-Year Maps (Astrophysical Journal...
View full post »

Thread 'Status Update by JRMichler'

Just ONCE, I wanted to see a post titled Status Update that was not a blatant, annoying spam post by a new member. So here it is. Today was a good day here in Northern Wisconsin. Fall colors are here, no mosquitos, no deer flies, and mild temperature, so my morning run was unusually nice. Only two meetings today, and both went well. The deer that was road killed just down the road two weeks ago is now fully decomposed, so no more smell. Somebody has a spike buck skull for their...
View full post »

Similar threads

MHB What Is the Probability of Distributing Remaining Trump Cards in Bridge?
Replies
4
Views
2K
B An Observed Extreme Probability Event
Replies
31
Views
3K
B Baccarat math and beating the edge
Replies
1
Views
1K
A A game of seemingly mutually independent events
Replies
7
Views
2K
I invented a card game based on the 'wheel'
Replies
4
Views
4K
I How to calculate the probabilities here? (3-person card game)
Replies
9
Views
3K
Is There a Winning Strategy for the Planet of Lies Number Game?
Replies
2
Views
3K
Probability of Receiving 2-4-6-7-Queen-King Sequence from 40 Cards
Replies
2
Views
1K
Is chess fundamentally harder to "effectively" solve than Go?
Replies
29
Views
5K
Is My Card Game Probability Calculation Correct?
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top