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
2,301#8,736,554Four of a kindAugust 10, 20252025 engine
2,302#8,748,556Four of a kindAugust 10, 20252025 engine
2,303#8,750,819Four of a kindAugust 10, 20252025 engine
2,304#8,757,705Four of a kindAugust 10, 20252025 engine
2,305#8,759,577Four of a kindAugust 10, 20252025 engine
2,306#8,771,124Four of a kindAugust 10, 20252025 engine
2,307#8,771,588Four of a kindAugust 10, 20252025 engine
2,308#8,773,996Four of a kindAugust 11, 20252025 engine
2,309#8,774,840Four of a kindAugust 11, 20252025 engine
2,310#8,775,191Four of a kindAugust 11, 20252025 engine
2,311#8,775,853Four of a kindAugust 11, 20252025 engine
2,312#8,780,732Four of a kindAugust 11, 20252025 engine
2,313#8,780,872Four of a kindAugust 11, 20252025 engine
2,314#8,787,662Four of a kindAugust 11, 20252025 engine
2,315#8,790,068Four of a kindAugust 11, 20252025 engine
2,316#8,791,122Four of a kindAugust 11, 20252025 engine
2,317#8,794,010Four of a kindAugust 11, 20252025 engine
2,318#8,798,655Four of a kindAugust 11, 20252025 engine
2,319#8,805,187Four of a kindAugust 11, 20252025 engine
2,320#8,805,462Four of a kindAugust 11, 20252025 engine
2,321#8,815,794Four of a kindAugust 11, 20252025 engine
2,322#8,818,689Four of a kindAugust 11, 20252025 engine
2,323#8,824,124Four of a kindAugust 11, 20252025 engine
2,324#8,825,155Four of a kindAugust 11, 20252025 engine
2,325#8,832,353Four of a kindAugust 11, 20252025 engine
2,326#8,832,711Four of a kindAugust 11, 20252025 engine
2,327#8,834,534Four of a kindAugust 11, 20252025 engine
2,328#8,834,652Four of a kindAugust 11, 20252025 engine
2,329#8,834,706Four of a kindAugust 11, 20252025 engine
2,330#8,840,028Four of a kindAugust 11, 20252025 engine
2,331#8,842,132Four of a kindAugust 11, 20252025 engine
2,332#8,842,353Four of a kindAugust 11, 20252025 engine
2,333#8,855,967Four of a kindAugust 11, 20252025 engine
2,334#8,858,209Four of a kindAugust 12, 20252025 engine
2,335#8,866,169Four of a kindAugust 12, 20252025 engine
2,336#8,871,925Four of a kindAugust 12, 20252025 engine
2,337#8,873,126Four of a kindAugust 12, 20252025 engine
2,338#8,877,336Four of a kindAugust 12, 20252025 engine
2,339#8,886,051Four of a kindAugust 12, 20252025 engine
2,340#8,890,786Four of a kindAugust 12, 20252025 engine
2,341#8,894,377Four of a kindAugust 12, 20252025 engine
2,342#8,894,508Four of a kindAugust 12, 20252025 engine
2,343#8,901,159Four of a kindAugust 12, 20252025 engine
2,344#8,913,368Four of a kindAugust 12, 20252025 engine
2,345#8,922,436Four of a kindAugust 12, 20252025 engine
2,346#8,924,313Four of a kindAugust 12, 20252025 engine
2,347#8,925,226Four of a kindAugust 12, 20252025 engine
2,348#8,928,203Four of a kindAugust 12, 20252025 engine
2,349#8,934,886Four of a kindAugust 12, 20252025 engine
2,350#8,936,464Four of a kindAugust 12, 20252025 engine
2,351#8,937,237Four of a kindAugust 12, 20252025 engine
2,352#8,938,289Four of a kindAugust 12, 20252025 engine
2,353#8,946,203Four of a kindAugust 13, 20252025 engine
2,354#8,950,363Four of a kindAugust 13, 20252025 engine
2,355#8,951,541Four of a kindAugust 13, 20252025 engine
2,356#8,952,559Four of a kindAugust 13, 20252025 engine
2,357#8,953,612Four of a kindAugust 13, 20252025 engine
2,358#8,956,917Four of a kindAugust 13, 20252025 engine
2,359#8,961,646Four of a kindAugust 13, 20252025 engine
2,360#8,968,241Four of a kindAugust 13, 20252025 engine
2,361#8,969,676Four of a kindAugust 13, 20252025 engine
2,362#8,978,768Four of a kindAugust 13, 20252025 engine
2,363#8,979,497Four of a kindAugust 13, 20252025 engine
2,364#8,985,123Four of a kindAugust 13, 20252025 engine
2,365#8,986,396Four of a kindAugust 13, 20252025 engine
2,366#8,988,196Four of a kindAugust 13, 20252025 engine
2,367#8,991,095Four of a kindAugust 13, 20252025 engine
2,368#8,993,115Four of a kindAugust 13, 20252025 engine
2,369#8,996,024Four of a kindAugust 13, 20252025 engine
2,370#9,011,761Four of a kindAugust 13, 20252025 engine
2,371#9,014,868Four of a kindAugust 13, 20252025 engine
2,372#9,015,699Four of a kindAugust 13, 20252025 engine
2,373#9,017,803Four of a kindAugust 13, 20252025 engine
2,374#9,022,104Four of a kindAugust 13, 20252025 engine
2,375#9,027,312Four of a kindAugust 14, 20252025 engine
2,376#9,031,149Four of a kindAugust 14, 20252025 engine
2,377#9,040,363Four of a kindAugust 14, 20252025 engine
2,378#9,053,328Four of a kindAugust 14, 20252025 engine
2,379#9,060,387Four of a kindAugust 14, 20252025 engine
2,380#9,061,821Four of a kindAugust 14, 20252025 engine
2,381#9,064,380Four of a kindAugust 14, 20252025 engine
2,382#9,065,596Four of a kindAugust 14, 20252025 engine
2,383#9,065,654Four of a kindAugust 14, 20252025 engine
2,384#9,070,964Four of a kindAugust 14, 20252025 engine
2,385#9,077,224Four of a kindAugust 14, 20252025 engine
2,386#9,078,036Four of a kindAugust 14, 20252025 engine
2,387#9,078,964Four of a kindAugust 14, 20252025 engine
2,388#9,083,989Four of a kindAugust 14, 20252025 engine
2,389#9,088,939Four of a kindAugust 14, 20252025 engine
2,390#9,094,156Four of a kindAugust 14, 20252025 engine
2,391#9,100,520Four of a kindAugust 14, 20252025 engine
2,392#9,102,505Four of a kindAugust 14, 20252025 engine
2,393#9,108,973Four of a kindAugust 14, 20252025 engine
2,394#9,112,526Four of a kindAugust 15, 20252025 engine
2,395#9,116,013Four of a kindAugust 15, 20252025 engine
2,396#9,127,941Four of a kindAugust 15, 20252025 engine
2,397#9,130,724Four of a kindAugust 15, 20252025 engine
2,398#9,142,672Four of a kindAugust 15, 20252025 engine
2,399#9,145,798Four of a kindAugust 15, 20252025 engine
2,400#9,150,914Four of a kindAugust 15, 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.