Exhibit

Rarest hands.

Deal the top five cards of a freshly shuffled deck as a poker hand. Almost always it is nothing much. This room holds the shuffles where it was four of a kind or better, ranked rarest first.

What is ranked

The poker rank of the top five cards, evaluated as a standard five-card hand. Only four of a kind, straight flushes and royal flushes qualify. Ties are ordered by archive number, oldest first.

How rare

Of all possible decks, about one in 3,914 opens with four of a kind or better: 664 of the 2,598,960 possible five-card hands.

The record

Royal flush

Shuffle #35,419, recorded April 28, 2025. 3,671 shuffles have qualified so far.

RankShuffleHandShuffledEra
1,401#4,993,387Four of a kindJune 27, 20252025 engine
1,402#4,995,819Four of a kindJune 27, 20252025 engine
1,403#4,996,207Four of a kindJune 27, 20252025 engine
1,404#4,998,822Four of a kindJune 27, 20252025 engine
1,405#4,999,514Four of a kindJune 27, 20252025 engine
1,406#5,007,142Four of a kindJune 27, 20252025 engine
1,407#5,028,951Four of a kindJune 27, 20252025 engine
1,408#5,038,675Four of a kindJune 27, 20252025 engine
1,409#5,045,277Four of a kindJune 27, 20252025 engine
1,410#5,053,316Four of a kindJune 28, 20252025 engine
1,411#5,053,473Four of a kindJune 28, 20252025 engine
1,412#5,057,983Four of a kindJune 28, 20252025 engine
1,413#5,060,491Four of a kindJune 28, 20252025 engine
1,414#5,063,032Four of a kindJune 28, 20252025 engine
1,415#5,073,383Four of a kindJune 28, 20252025 engine
1,416#5,076,638Four of a kindJune 28, 20252025 engine
1,417#5,082,129Four of a kindJune 28, 20252025 engine
1,418#5,082,215Four of a kindJune 28, 20252025 engine
1,419#5,095,854Four of a kindJune 28, 20252025 engine
1,420#5,100,871Four of a kindJune 28, 20252025 engine
1,421#5,107,358Four of a kindJune 28, 20252025 engine
1,422#5,109,767Four of a kindJune 28, 20252025 engine
1,423#5,111,645Four of a kindJune 28, 20252025 engine
1,424#5,119,883Four of a kindJune 28, 20252025 engine
1,425#5,121,609Four of a kindJune 28, 20252025 engine
1,426#5,124,164Four of a kindJune 28, 20252025 engine
1,427#5,129,101Four of a kindJune 28, 20252025 engine
1,428#5,134,852Four of a kindJune 29, 20252025 engine
1,429#5,136,507Four of a kindJune 29, 20252025 engine
1,430#5,136,646Four of a kindJune 29, 20252025 engine
1,431#5,142,493Four of a kindJune 29, 20252025 engine
1,432#5,143,377Four of a kindJune 29, 20252025 engine
1,433#5,146,492Four of a kindJune 29, 20252025 engine
1,434#5,147,854Four of a kindJune 29, 20252025 engine
1,435#5,153,511Four of a kindJune 29, 20252025 engine
1,436#5,157,614Four of a kindJune 29, 20252025 engine
1,437#5,161,184Four of a kindJune 29, 20252025 engine
1,438#5,167,548Four of a kindJune 29, 20252025 engine
1,439#5,184,202Four of a kindJune 29, 20252025 engine
1,440#5,186,662Four of a kindJune 29, 20252025 engine
1,441#5,186,989Four of a kindJune 29, 20252025 engine
1,442#5,191,250Four of a kindJune 29, 20252025 engine
1,443#5,199,377Four of a kindJune 29, 20252025 engine
1,444#5,200,549Four of a kindJune 29, 20252025 engine
1,445#5,202,179Four of a kindJune 29, 20252025 engine
1,446#5,203,942Four of a kindJune 29, 20252025 engine
1,447#5,209,460Four of a kindJune 29, 20252025 engine
1,448#5,213,269Four of a kindJune 29, 20252025 engine
1,449#5,219,671Four of a kindJune 30, 20252025 engine
1,450#5,221,208Four of a kindJune 30, 20252025 engine
1,451#5,228,048Four of a kindJune 30, 20252025 engine
1,452#5,229,390Four of a kindJune 30, 20252025 engine
1,453#5,232,922Four of a kindJune 30, 20252025 engine
1,454#5,233,881Four of a kindJune 30, 20252025 engine
1,455#5,243,856Four of a kindJune 30, 20252025 engine
1,456#5,248,701Four of a kindJune 30, 20252025 engine
1,457#5,248,849Four of a kindJune 30, 20252025 engine
1,458#5,249,049Four of a kindJune 30, 20252025 engine
1,459#5,251,665Four of a kindJune 30, 20252025 engine
1,460#5,256,527Four of a kindJune 30, 20252025 engine
1,461#5,277,583Four of a kindJune 30, 20252025 engine
1,462#5,278,506Four of a kindJune 30, 20252025 engine
1,463#5,278,507Four of a kindJune 30, 20252025 engine
1,464#5,283,491Four of a kindJune 30, 20252025 engine
1,465#5,283,830Four of a kindJune 30, 20252025 engine
1,466#5,284,901Four of a kindJune 30, 20252025 engine
1,467#5,286,149Four of a kindJune 30, 20252025 engine
1,468#5,286,853Four of a kindJune 30, 20252025 engine
1,469#5,288,566Four of a kindJune 30, 20252025 engine
1,470#5,290,903Four of a kindJune 30, 20252025 engine
1,471#5,294,329Four of a kindJune 30, 20252025 engine
1,472#5,296,190Four of a kindJune 30, 20252025 engine
1,473#5,299,778Four of a kindJune 30, 20252025 engine
1,474#5,300,010Four of a kindJune 30, 20252025 engine
1,475#5,313,805Four of a kindJuly 1, 20252025 engine
1,476#5,315,557Four of a kindJuly 1, 20252025 engine
1,477#5,317,517Four of a kindJuly 1, 20252025 engine
1,478#5,323,916Four of a kindJuly 1, 20252025 engine
1,479#5,324,035Four of a kindJuly 1, 20252025 engine
1,480#5,324,684Four of a kindJuly 1, 20252025 engine
1,481#5,329,697Four of a kindJuly 1, 20252025 engine
1,482#5,350,049Four of a kindJuly 1, 20252025 engine
1,483#5,353,451Four of a kindJuly 1, 20252025 engine
1,484#5,359,208Four of a kindJuly 1, 20252025 engine
1,485#5,366,398Four of a kindJuly 1, 20252025 engine
1,486#5,367,570Four of a kindJuly 1, 20252025 engine
1,487#5,368,922Four of a kindJuly 1, 20252025 engine
1,488#5,372,485Four of a kindJuly 1, 20252025 engine
1,489#5,378,068Four of a kindJuly 1, 20252025 engine
1,490#5,379,329Four of a kindJuly 1, 20252025 engine
1,491#5,387,260Four of a kindJuly 1, 20252025 engine
1,492#5,388,471Four of a kindJuly 2, 20252025 engine
1,493#5,388,995Four of a kindJuly 2, 20252025 engine
1,494#5,398,929Four of a kindJuly 2, 20252025 engine
1,495#5,402,713Four of a kindJuly 2, 20252025 engine
1,496#5,409,126Four of a kindJuly 2, 20252025 engine
1,497#5,419,507Four of a kindJuly 2, 20252025 engine
1,498#5,436,344Four of a kindJuly 2, 20252025 engine
1,499#5,436,378Four of a kindJuly 2, 20252025 engine
1,500#5,436,441Four of a kindJuly 2, 20252025 engine

The counts behind that probability are the classical poker enumeration, re-verified in this project by evaluating all 2,598,960 hands. The math pages cover why a deck has so many orderings that even a royal flush on top has turned up here more than once.