Probability of All Players receiving Complete Suit at Bridge

From ProofWiki
Jump to navigation Jump to search

Theorem

The probability of all $4$ players in a game of Bridge being dealt a complete suit is $1$ in $2 \, 235 \, 197 \, 406 \, 895 \, 366 \, 368 \, 301 \, 560 \, 000$.


Proof


This theorem requires a proof.
In particular: Straightforward but boring exercise in combinatorics
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
To discuss this page in more detail, feel free to use the talk page.
When this work has been completed, you may remove this instance of {{ProofWanted}} from the code.
If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.



Historical Note

According to David Wells in his Curious and Interesting Numbers of $1986$, Martin Gardner has pointed out "forcefully" that claims that all $4$ players have received a complete suit in a deal at Bridge has been made far more often than claims that only $2$ players have done so, even though the latter is far more likely than the former.


Sources

Retrieved from "https://proofwiki.org/w/index.php?title=Probability_of_All_Players_receiving_Complete_Suit_at_Bridge&oldid=385151"