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. 3,682 shuffles have qualified so far.

RankShuffleHandShuffledEra
2,001#7,500,043Four of a kindJuly 26, 20252025 engine
2,002#7,504,347Four of a kindJuly 27, 20252025 engine
2,003#7,507,342Four of a kindJuly 27, 20252025 engine
2,004#7,509,811Four of a kindJuly 27, 20252025 engine
2,005#7,514,568Four of a kindJuly 27, 20252025 engine
2,006#7,516,807Four of a kindJuly 27, 20252025 engine
2,007#7,519,645Four of a kindJuly 27, 20252025 engine
2,008#7,524,467Four of a kindJuly 27, 20252025 engine
2,009#7,525,562Four of a kindJuly 27, 20252025 engine
2,010#7,528,530Four of a kindJuly 27, 20252025 engine
2,011#7,531,851Four of a kindJuly 27, 20252025 engine
2,012#7,535,381Four of a kindJuly 27, 20252025 engine
2,013#7,538,442Four of a kindJuly 27, 20252025 engine
2,014#7,540,635Four of a kindJuly 27, 20252025 engine
2,015#7,550,827Four of a kindJuly 27, 20252025 engine
2,016#7,559,131Four of a kindJuly 27, 20252025 engine
2,017#7,560,726Four of a kindJuly 27, 20252025 engine
2,018#7,563,385Four of a kindJuly 27, 20252025 engine
2,019#7,572,211Four of a kindJuly 27, 20252025 engine
2,020#7,577,251Four of a kindJuly 27, 20252025 engine
2,021#7,578,312Four of a kindJuly 27, 20252025 engine
2,022#7,583,685Four of a kindJuly 27, 20252025 engine
2,023#7,585,319Four of a kindJuly 27, 20252025 engine
2,024#7,589,105Four of a kindJuly 28, 20252025 engine
2,025#7,596,522Four of a kindJuly 28, 20252025 engine
2,026#7,601,012Four of a kindJuly 28, 20252025 engine
2,027#7,603,101Four of a kindJuly 28, 20252025 engine
2,028#7,603,383Four of a kindJuly 28, 20252025 engine
2,029#7,603,476Four of a kindJuly 28, 20252025 engine
2,030#7,606,443Four of a kindJuly 28, 20252025 engine
2,031#7,608,549Four of a kindJuly 28, 20252025 engine
2,032#7,609,964Four of a kindJuly 28, 20252025 engine
2,033#7,610,103Four of a kindJuly 28, 20252025 engine
2,034#7,611,757Four of a kindJuly 28, 20252025 engine
2,035#7,615,529Four of a kindJuly 28, 20252025 engine
2,036#7,617,379Four of a kindJuly 28, 20252025 engine
2,037#7,619,732Four of a kindJuly 28, 20252025 engine
2,038#7,625,548Four of a kindJuly 28, 20252025 engine
2,039#7,629,346Four of a kindJuly 28, 20252025 engine
2,040#7,629,994Four of a kindJuly 28, 20252025 engine
2,041#7,631,576Four of a kindJuly 28, 20252025 engine
2,042#7,636,328Four of a kindJuly 28, 20252025 engine
2,043#7,637,484Four of a kindJuly 28, 20252025 engine
2,044#7,647,287Four of a kindJuly 28, 20252025 engine
2,045#7,662,845Four of a kindJuly 28, 20252025 engine
2,046#7,663,204Four of a kindJuly 28, 20252025 engine
2,047#7,666,974Four of a kindJuly 28, 20252025 engine
2,048#7,669,442Four of a kindJuly 28, 20252025 engine
2,049#7,673,029Four of a kindJuly 28, 20252025 engine
2,050#7,676,506Four of a kindJuly 29, 20252025 engine
2,051#7,683,363Four of a kindJuly 29, 20252025 engine
2,052#7,683,709Four of a kindJuly 29, 20252025 engine
2,053#7,684,022Four of a kindJuly 29, 20252025 engine
2,054#7,686,870Four of a kindJuly 29, 20252025 engine
2,055#7,688,295Four of a kindJuly 29, 20252025 engine
2,056#7,695,208Four of a kindJuly 29, 20252025 engine
2,057#7,697,901Four of a kindJuly 29, 20252025 engine
2,058#7,701,616Four of a kindJuly 29, 20252025 engine
2,059#7,702,075Four of a kindJuly 29, 20252025 engine
2,060#7,702,817Four of a kindJuly 29, 20252025 engine
2,061#7,707,294Four of a kindJuly 29, 20252025 engine
2,062#7,714,455Four of a kindJuly 29, 20252025 engine
2,063#7,714,877Four of a kindJuly 29, 20252025 engine
2,064#7,722,544Four of a kindJuly 29, 20252025 engine
2,065#7,730,023Four of a kindJuly 29, 20252025 engine
2,066#7,740,803Four of a kindJuly 29, 20252025 engine
2,067#7,745,222Four of a kindJuly 29, 20252025 engine
2,068#7,752,105Four of a kindJuly 29, 20252025 engine
2,069#7,753,864Four of a kindJuly 29, 20252025 engine
2,070#7,757,181Four of a kindJuly 29, 20252025 engine
2,071#7,769,570Four of a kindJuly 30, 20252025 engine
2,072#7,769,805Four of a kindJuly 30, 20252025 engine
2,073#7,771,622Four of a kindJuly 30, 20252025 engine
2,074#7,775,792Four of a kindJuly 30, 20252025 engine
2,075#7,780,381Four of a kindJuly 30, 20252025 engine
2,076#7,780,532Four of a kindJuly 30, 20252025 engine
2,077#7,785,654Four of a kindJuly 30, 20252025 engine
2,078#7,791,731Four of a kindJuly 30, 20252025 engine
2,079#7,793,453Four of a kindJuly 30, 20252025 engine
2,080#7,796,380Four of a kindJuly 30, 20252025 engine
2,081#7,798,024Four of a kindJuly 30, 20252025 engine
2,082#7,799,266Four of a kindJuly 30, 20252025 engine
2,083#7,801,312Four of a kindJuly 30, 20252025 engine
2,084#7,816,899Four of a kindJuly 30, 20252025 engine
2,085#7,817,015Four of a kindJuly 30, 20252025 engine
2,086#7,857,124Four of a kindJuly 31, 20252025 engine
2,087#7,864,489Four of a kindJuly 31, 20252025 engine
2,088#7,867,865Four of a kindJuly 31, 20252025 engine
2,089#7,870,470Four of a kindJuly 31, 20252025 engine
2,090#7,873,715Four of a kindJuly 31, 20252025 engine
2,091#7,873,852Four of a kindJuly 31, 20252025 engine
2,092#7,879,805Four of a kindJuly 31, 20252025 engine
2,093#7,890,797Four of a kindJuly 31, 20252025 engine
2,094#7,891,444Four of a kindJuly 31, 20252025 engine
2,095#7,899,013Four of a kindJuly 31, 20252025 engine
2,096#7,900,326Four of a kindJuly 31, 20252025 engine
2,097#7,903,155Four of a kindJuly 31, 20252025 engine
2,098#7,903,181Four of a kindJuly 31, 20252025 engine
2,099#7,906,259Four of a kindJuly 31, 20252025 engine
2,100#7,911,017Four of a kindJuly 31, 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.