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. 3,688 shuffles have qualified so far.

RankShuffleHandShuffledEra
2,801#10,713,596Four of a kindSeptember 2, 20252025 engine
2,802#10,716,920Four of a kindSeptember 2, 20252025 engine
2,803#10,717,345Four of a kindSeptember 2, 20252025 engine
2,804#10,717,346Four of a kindSeptember 2, 20252025 engine
2,805#10,717,884Four of a kindSeptember 2, 20252025 engine
2,806#10,721,561Four of a kindSeptember 3, 20252025 engine
2,807#10,726,196Four of a kindSeptember 3, 20252025 engine
2,808#10,728,896Four of a kindSeptember 3, 20252025 engine
2,809#10,731,927Four of a kindSeptember 3, 20252025 engine
2,810#10,740,143Four of a kindSeptember 3, 20252025 engine
2,811#10,746,380Four of a kindSeptember 3, 20252025 engine
2,812#10,751,169Four of a kindSeptember 3, 20252025 engine
2,813#10,752,375Four of a kindSeptember 3, 20252025 engine
2,814#10,752,550Four of a kindSeptember 3, 20252025 engine
2,815#10,753,385Four of a kindSeptember 3, 20252025 engine
2,816#10,753,475Four of a kindSeptember 3, 20252025 engine
2,817#10,758,695Four of a kindSeptember 3, 20252025 engine
2,818#10,764,641Four of a kindSeptember 3, 20252025 engine
2,819#10,772,848Four of a kindSeptember 3, 20252025 engine
2,820#10,778,478Four of a kindSeptember 3, 20252025 engine
2,821#10,779,419Four of a kindSeptember 3, 20252025 engine
2,822#10,792,053Four of a kindSeptember 3, 20252025 engine
2,823#10,793,068Four of a kindSeptember 3, 20252025 engine
2,824#10,796,358Four of a kindSeptember 3, 20252025 engine
2,825#10,796,744Four of a kindSeptember 3, 20252025 engine
2,826#10,800,640Four of a kindSeptember 3, 20252025 engine
2,827#10,801,265Four of a kindSeptember 3, 20252025 engine
2,828#10,804,561Four of a kindSeptember 4, 20252025 engine
2,829#10,813,517Four of a kindSeptember 4, 20252025 engine
2,830#10,828,287Four of a kindSeptember 4, 20252025 engine
2,831#10,829,880Four of a kindSeptember 4, 20252025 engine
2,832#10,836,974Four of a kindSeptember 4, 20252025 engine
2,833#10,843,449Four of a kindSeptember 4, 20252025 engine
2,834#10,847,671Four of a kindSeptember 4, 20252025 engine
2,835#10,852,533Four of a kindSeptember 4, 20252025 engine
2,836#10,854,288Four of a kindSeptember 4, 20252025 engine
2,837#10,854,792Four of a kindSeptember 4, 20252025 engine
2,838#10,855,145Four of a kindSeptember 4, 20252025 engine
2,839#10,857,607Four of a kindSeptember 4, 20252025 engine
2,840#10,863,842Four of a kindSeptember 4, 20252025 engine
2,841#10,869,219Four of a kindSeptember 4, 20252025 engine
2,842#10,869,793Four of a kindSeptember 4, 20252025 engine
2,843#10,871,806Four of a kindSeptember 4, 20252025 engine
2,844#10,883,456Four of a kindSeptember 4, 20252025 engine
2,845#10,888,107Four of a kindSeptember 5, 20252025 engine
2,846#10,898,062Four of a kindSeptember 5, 20252025 engine
2,847#10,899,382Four of a kindSeptember 5, 20252025 engine
2,848#10,899,396Four of a kindSeptember 5, 20252025 engine
2,849#10,899,409Four of a kindSeptember 5, 20252025 engine
2,850#10,901,131Four of a kindSeptember 5, 20252025 engine
2,851#10,909,513Four of a kindSeptember 5, 20252025 engine
2,852#10,910,396Four of a kindSeptember 5, 20252025 engine
2,853#10,917,277Four of a kindSeptember 5, 20252025 engine
2,854#10,918,558Four of a kindSeptember 5, 20252025 engine
2,855#10,934,666Four of a kindSeptember 5, 20252025 engine
2,856#10,941,768Four of a kindSeptember 5, 20252025 engine
2,857#10,943,751Four of a kindSeptember 5, 20252025 engine
2,858#10,945,054Four of a kindSeptember 5, 20252025 engine
2,859#10,945,185Four of a kindSeptember 5, 20252025 engine
2,860#10,954,472Four of a kindSeptember 5, 20252025 engine
2,861#10,955,560Four of a kindSeptember 5, 20252025 engine
2,862#10,965,213Four of a kindSeptember 5, 20252025 engine
2,863#10,969,331Four of a kindSeptember 5, 20252025 engine
2,864#10,969,535Four of a kindSeptember 5, 20252025 engine
2,865#10,971,066Four of a kindSeptember 5, 20252025 engine
2,866#10,972,887Four of a kindSeptember 6, 20252025 engine
2,867#10,973,638Four of a kindSeptember 6, 20252025 engine
2,868#10,974,377Four of a kindSeptember 6, 20252025 engine
2,869#10,978,546Four of a kindSeptember 6, 20252025 engine
2,870#10,982,968Four of a kindSeptember 6, 20252025 engine
2,871#10,986,986Four of a kindSeptember 6, 20252025 engine
2,872#10,993,125Four of a kindSeptember 6, 20252025 engine
2,873#10,995,988Four of a kindSeptember 6, 20252025 engine
2,874#10,999,147Four of a kindSeptember 6, 20252025 engine
2,875#11,005,089Four of a kindSeptember 6, 20252025 engine
2,876#11,005,501Four of a kindSeptember 6, 20252025 engine
2,877#11,019,962Four of a kindSeptember 6, 20252025 engine
2,878#11,027,058Four of a kindSeptember 6, 20252025 engine
2,879#11,027,152Four of a kindSeptember 6, 20252025 engine
2,880#11,036,002Four of a kindSeptember 6, 20252025 engine
2,881#11,038,833Four of a kindSeptember 6, 20252025 engine
2,882#11,043,293Four of a kindSeptember 6, 20252025 engine
2,883#11,043,304Four of a kindSeptember 6, 20252025 engine
2,884#11,058,624Four of a kindSeptember 7, 20252025 engine
2,885#11,059,816Four of a kindSeptember 7, 20252025 engine
2,886#11,065,985Four of a kindSeptember 7, 20252025 engine
2,887#11,068,021Four of a kindSeptember 7, 20252025 engine
2,888#11,069,719Four of a kindSeptember 7, 20252025 engine
2,889#11,074,732Four of a kindSeptember 7, 20252025 engine
2,890#11,076,385Four of a kindSeptember 7, 20252025 engine
2,891#11,088,751Four of a kindSeptember 7, 20252025 engine
2,892#11,089,184Four of a kindSeptember 7, 20252025 engine
2,893#11,091,018Four of a kindSeptember 7, 20252025 engine
2,894#11,091,464Four of a kindSeptember 7, 20252025 engine
2,895#11,094,719Four of a kindSeptember 7, 20252025 engine
2,896#11,095,923Four of a kindSeptember 7, 20252025 engine
2,897#11,097,289Four of a kindSeptember 7, 20252025 engine
2,898#11,097,329Four of a kindSeptember 7, 20252025 engine
2,899#11,098,783Four of a kindSeptember 7, 20252025 engine
2,900#11,107,901Four of a kindSeptember 7, 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.