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
2,101#7,921,030Four of a kindJuly 31, 20252025 engine
2,102#7,921,379Four of a kindJuly 31, 20252025 engine
2,103#7,922,094Four of a kindJuly 31, 20252025 engine
2,104#7,923,803Four of a kindJuly 31, 20252025 engine
2,105#7,929,547Four of a kindAugust 1, 20252025 engine
2,106#7,929,771Four of a kindAugust 1, 20252025 engine
2,107#7,936,907Four of a kindAugust 1, 20252025 engine
2,108#7,940,745Four of a kindAugust 1, 20252025 engine
2,109#7,940,853Four of a kindAugust 1, 20252025 engine
2,110#7,946,578Four of a kindAugust 1, 20252025 engine
2,111#7,959,419Four of a kindAugust 1, 20252025 engine
2,112#7,962,498Four of a kindAugust 1, 20252025 engine
2,113#7,981,328Four of a kindAugust 1, 20252025 engine
2,114#7,983,385Four of a kindAugust 1, 20252025 engine
2,115#7,987,307Four of a kindAugust 1, 20252025 engine
2,116#7,988,553Four of a kindAugust 1, 20252025 engine
2,117#7,991,165Four of a kindAugust 1, 20252025 engine
2,118#7,991,655Four of a kindAugust 1, 20252025 engine
2,119#7,998,449Four of a kindAugust 1, 20252025 engine
2,120#8,002,131Four of a kindAugust 1, 20252025 engine
2,121#8,009,334Four of a kindAugust 1, 20252025 engine
2,122#8,013,539Four of a kindAugust 2, 20252025 engine
2,123#8,018,464Four of a kindAugust 2, 20252025 engine
2,124#8,018,676Four of a kindAugust 2, 20252025 engine
2,125#8,033,108Four of a kindAugust 2, 20252025 engine
2,126#8,035,614Four of a kindAugust 2, 20252025 engine
2,127#8,037,918Four of a kindAugust 2, 20252025 engine
2,128#8,042,170Four of a kindAugust 2, 20252025 engine
2,129#8,042,978Four of a kindAugust 2, 20252025 engine
2,130#8,045,555Four of a kindAugust 2, 20252025 engine
2,131#8,049,831Four of a kindAugust 2, 20252025 engine
2,132#8,053,371Four of a kindAugust 2, 20252025 engine
2,133#8,056,611Four of a kindAugust 2, 20252025 engine
2,134#8,074,986Four of a kindAugust 2, 20252025 engine
2,135#8,077,578Four of a kindAugust 2, 20252025 engine
2,136#8,079,755Four of a kindAugust 2, 20252025 engine
2,137#8,086,637Four of a kindAugust 2, 20252025 engine
2,138#8,090,031Four of a kindAugust 2, 20252025 engine
2,139#8,093,967Four of a kindAugust 2, 20252025 engine
2,140#8,094,335Four of a kindAugust 2, 20252025 engine
2,141#8,095,430Four of a kindAugust 2, 20252025 engine
2,142#8,096,056Four of a kindAugust 3, 20252025 engine
2,143#8,096,993Four of a kindAugust 3, 20252025 engine
2,144#8,104,380Four of a kindAugust 3, 20252025 engine
2,145#8,105,507Four of a kindAugust 3, 20252025 engine
2,146#8,105,670Four of a kindAugust 3, 20252025 engine
2,147#8,112,948Four of a kindAugust 3, 20252025 engine
2,148#8,117,258Four of a kindAugust 3, 20252025 engine
2,149#8,124,249Four of a kindAugust 3, 20252025 engine
2,150#8,126,490Four of a kindAugust 3, 20252025 engine
2,151#8,126,510Four of a kindAugust 3, 20252025 engine
2,152#8,132,857Four of a kindAugust 3, 20252025 engine
2,153#8,134,578Four of a kindAugust 3, 20252025 engine
2,154#8,138,758Four of a kindAugust 3, 20252025 engine
2,155#8,153,528Four of a kindAugust 3, 20252025 engine
2,156#8,154,057Four of a kindAugust 3, 20252025 engine
2,157#8,155,554Four of a kindAugust 3, 20252025 engine
2,158#8,170,343Four of a kindAugust 3, 20252025 engine
2,159#8,174,218Four of a kindAugust 3, 20252025 engine
2,160#8,178,940Four of a kindAugust 3, 20252025 engine
2,161#8,180,036Four of a kindAugust 3, 20252025 engine
2,162#8,187,953Four of a kindAugust 4, 20252025 engine
2,163#8,188,976Four of a kindAugust 4, 20252025 engine
2,164#8,194,810Four of a kindAugust 4, 20252025 engine
2,165#8,196,158Four of a kindAugust 4, 20252025 engine
2,166#8,198,546Four of a kindAugust 4, 20252025 engine
2,167#8,202,483Four of a kindAugust 4, 20252025 engine
2,168#8,204,301Four of a kindAugust 4, 20252025 engine
2,169#8,206,346Four of a kindAugust 4, 20252025 engine
2,170#8,208,785Four of a kindAugust 4, 20252025 engine
2,171#8,221,404Four of a kindAugust 4, 20252025 engine
2,172#8,225,078Four of a kindAugust 4, 20252025 engine
2,173#8,225,290Four of a kindAugust 4, 20252025 engine
2,174#8,230,402Four of a kindAugust 4, 20252025 engine
2,175#8,240,677Four of a kindAugust 4, 20252025 engine
2,176#8,246,005Four of a kindAugust 4, 20252025 engine
2,177#8,250,372Four of a kindAugust 4, 20252025 engine
2,178#8,252,814Four of a kindAugust 4, 20252025 engine
2,179#8,256,072Four of a kindAugust 4, 20252025 engine
2,180#8,259,302Four of a kindAugust 4, 20252025 engine
2,181#8,264,826Four of a kindAugust 4, 20252025 engine
2,182#8,265,040Four of a kindAugust 5, 20252025 engine
2,183#8,265,061Four of a kindAugust 5, 20252025 engine
2,184#8,268,312Four of a kindAugust 5, 20252025 engine
2,185#8,273,797Four of a kindAugust 5, 20252025 engine
2,186#8,283,806Four of a kindAugust 5, 20252025 engine
2,187#8,288,764Four of a kindAugust 5, 20252025 engine
2,188#8,289,300Four of a kindAugust 5, 20252025 engine
2,189#8,290,745Four of a kindAugust 5, 20252025 engine
2,190#8,293,343Four of a kindAugust 5, 20252025 engine
2,191#8,293,362Four of a kindAugust 5, 20252025 engine
2,192#8,295,732Four of a kindAugust 5, 20252025 engine
2,193#8,303,126Four of a kindAugust 5, 20252025 engine
2,194#8,315,104Four of a kindAugust 5, 20252025 engine
2,195#8,320,806Four of a kindAugust 5, 20252025 engine
2,196#8,322,627Four of a kindAugust 5, 20252025 engine
2,197#8,324,357Four of a kindAugust 5, 20252025 engine
2,198#8,324,718Four of a kindAugust 5, 20252025 engine
2,199#8,334,338Four of a kindAugust 5, 20252025 engine
2,200#8,343,452Four of a kindAugust 5, 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.