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. 3,687 shuffles have qualified so far.

RankShuffleHandShuffledEra
2,401#9,155,086Four of a kindAugust 15, 20252025 engine
2,402#9,160,380Four of a kindAugust 15, 20252025 engine
2,403#9,162,012Four of a kindAugust 15, 20252025 engine
2,404#9,168,467Four of a kindAugust 15, 20252025 engine
2,405#9,171,325Four of a kindAugust 15, 20252025 engine
2,406#9,183,539Four of a kindAugust 15, 20252025 engine
2,407#9,186,815Four of a kindAugust 15, 20252025 engine
2,408#9,206,220Four of a kindAugust 16, 20252025 engine
2,409#9,212,019Four of a kindAugust 16, 20252025 engine
2,410#9,215,644Four of a kindAugust 16, 20252025 engine
2,411#9,215,734Four of a kindAugust 16, 20252025 engine
2,412#9,217,271Four of a kindAugust 16, 20252025 engine
2,413#9,220,703Four of a kindAugust 16, 20252025 engine
2,414#9,234,939Four of a kindAugust 16, 20252025 engine
2,415#9,239,414Four of a kindAugust 16, 20252025 engine
2,416#9,241,620Four of a kindAugust 16, 20252025 engine
2,417#9,243,717Four of a kindAugust 16, 20252025 engine
2,418#9,249,262Four of a kindAugust 16, 20252025 engine
2,419#9,253,204Four of a kindAugust 16, 20252025 engine
2,420#9,255,390Four of a kindAugust 16, 20252025 engine
2,421#9,259,611Four of a kindAugust 16, 20252025 engine
2,422#9,261,298Four of a kindAugust 16, 20252025 engine
2,423#9,261,727Four of a kindAugust 16, 20252025 engine
2,424#9,263,288Four of a kindAugust 16, 20252025 engine
2,425#9,265,235Four of a kindAugust 16, 20252025 engine
2,426#9,265,646Four of a kindAugust 16, 20252025 engine
2,427#9,266,636Four of a kindAugust 16, 20252025 engine
2,428#9,270,378Four of a kindAugust 16, 20252025 engine
2,429#9,271,753Four of a kindAugust 16, 20252025 engine
2,430#9,284,384Four of a kindAugust 17, 20252025 engine
2,431#9,287,843Four of a kindAugust 17, 20252025 engine
2,432#9,289,219Four of a kindAugust 17, 20252025 engine
2,433#9,291,815Four of a kindAugust 17, 20252025 engine
2,434#9,295,999Four of a kindAugust 17, 20252025 engine
2,435#9,300,088Four of a kindAugust 17, 20252025 engine
2,436#9,303,972Four of a kindAugust 17, 20252025 engine
2,437#9,305,783Four of a kindAugust 17, 20252025 engine
2,438#9,312,674Four of a kindAugust 17, 20252025 engine
2,439#9,314,317Four of a kindAugust 17, 20252025 engine
2,440#9,319,860Four of a kindAugust 17, 20252025 engine
2,441#9,322,266Four of a kindAugust 17, 20252025 engine
2,442#9,322,512Four of a kindAugust 17, 20252025 engine
2,443#9,322,513Four of a kindAugust 17, 20252025 engine
2,444#9,327,639Four of a kindAugust 17, 20252025 engine
2,445#9,329,481Four of a kindAugust 17, 20252025 engine
2,446#9,330,119Four of a kindAugust 17, 20252025 engine
2,447#9,339,058Four of a kindAugust 17, 20252025 engine
2,448#9,339,930Four of a kindAugust 17, 20252025 engine
2,449#9,341,193Four of a kindAugust 17, 20252025 engine
2,450#9,343,351Four of a kindAugust 17, 20252025 engine
2,451#9,345,537Four of a kindAugust 17, 20252025 engine
2,452#9,348,190Four of a kindAugust 17, 20252025 engine
2,453#9,355,030Four of a kindAugust 17, 20252025 engine
2,454#9,361,648Four of a kindAugust 17, 20252025 engine
2,455#9,361,772Four of a kindAugust 17, 20252025 engine
2,456#9,366,392Four of a kindAugust 18, 20252025 engine
2,457#9,368,240Four of a kindAugust 18, 20252025 engine
2,458#9,380,038Four of a kindAugust 18, 20252025 engine
2,459#9,385,093Four of a kindAugust 18, 20252025 engine
2,460#9,385,447Four of a kindAugust 18, 20252025 engine
2,461#9,391,330Four of a kindAugust 18, 20252025 engine
2,462#9,393,762Four of a kindAugust 18, 20252025 engine
2,463#9,399,738Four of a kindAugust 18, 20252025 engine
2,464#9,402,155Four of a kindAugust 18, 20252025 engine
2,465#9,403,664Four of a kindAugust 18, 20252025 engine
2,466#9,425,209Four of a kindAugust 18, 20252025 engine
2,467#9,431,013Four of a kindAugust 18, 20252025 engine
2,468#9,453,298Four of a kindAugust 19, 20252025 engine
2,469#9,453,965Four of a kindAugust 19, 20252025 engine
2,470#9,455,981Four of a kindAugust 19, 20252025 engine
2,471#9,456,256Four of a kindAugust 19, 20252025 engine
2,472#9,457,561Four of a kindAugust 19, 20252025 engine
2,473#9,458,139Four of a kindAugust 19, 20252025 engine
2,474#9,459,441Four of a kindAugust 19, 20252025 engine
2,475#9,463,256Four of a kindAugust 19, 20252025 engine
2,476#9,464,033Four of a kindAugust 19, 20252025 engine
2,477#9,468,351Four of a kindAugust 19, 20252025 engine
2,478#9,470,578Four of a kindAugust 19, 20252025 engine
2,479#9,474,949Four of a kindAugust 19, 20252025 engine
2,480#9,475,014Four of a kindAugust 19, 20252025 engine
2,481#9,475,980Four of a kindAugust 19, 20252025 engine
2,482#9,476,462Four of a kindAugust 19, 20252025 engine
2,483#9,478,608Four of a kindAugust 19, 20252025 engine
2,484#9,479,996Four of a kindAugust 19, 20252025 engine
2,485#9,481,444Four of a kindAugust 19, 20252025 engine
2,486#9,484,871Four of a kindAugust 19, 20252025 engine
2,487#9,486,167Four of a kindAugust 19, 20252025 engine
2,488#9,486,582Four of a kindAugust 19, 20252025 engine
2,489#9,487,497Four of a kindAugust 19, 20252025 engine
2,490#9,492,334Four of a kindAugust 19, 20252025 engine
2,491#9,498,646Four of a kindAugust 19, 20252025 engine
2,492#9,503,589Four of a kindAugust 19, 20252025 engine
2,493#9,515,759Four of a kindAugust 19, 20252025 engine
2,494#9,533,420Four of a kindAugust 19, 20252025 engine
2,495#9,536,987Four of a kindAugust 20, 20252025 engine
2,496#9,538,055Four of a kindAugust 20, 20252025 engine
2,497#9,538,949Four of a kindAugust 20, 20252025 engine
2,498#9,539,140Four of a kindAugust 20, 20252025 engine
2,499#9,540,333Four of a kindAugust 20, 20252025 engine
2,500#9,544,941Four of a kindAugust 20, 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.