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. 3,689 shuffles have qualified so far.

RankShuffleHandShuffledEra
3,101#11,854,337Four of a kindSeptember 21, 20252025 engine
3,102#11,856,063Four of a kindSeptember 21, 20252025 engine
3,103#11,864,412Four of a kindSeptember 21, 20252025 engine
3,104#11,876,445Four of a kindSeptember 21, 20252025 engine
3,105#11,879,725Four of a kindSeptember 21, 20252025 engine
3,106#11,890,828Four of a kindSeptember 21, 20252025 engine
3,107#11,895,349Four of a kindSeptember 21, 20252025 engine
3,108#11,898,969Four of a kindSeptember 22, 20252025 engine
3,109#11,902,139Four of a kindSeptember 22, 20252025 engine
3,110#11,908,382Four of a kindSeptember 22, 20252025 engine
3,111#11,913,860Four of a kindSeptember 22, 20252025 engine
3,112#11,914,274Four of a kindSeptember 22, 20252025 engine
3,113#11,914,275Four of a kindSeptember 22, 20252025 engine
3,114#11,917,757Four of a kindSeptember 22, 20252025 engine
3,115#11,922,948Four of a kindSeptember 22, 20252025 engine
3,116#11,926,552Four of a kindSeptember 22, 20252025 engine
3,117#11,936,588Four of a kindSeptember 22, 20252025 engine
3,118#11,937,582Four of a kindSeptember 22, 20252025 engine
3,119#11,944,063Four of a kindSeptember 22, 20252025 engine
3,120#11,948,148Four of a kindSeptember 22, 20252025 engine
3,121#11,950,109Four of a kindSeptember 22, 20252025 engine
3,122#11,953,011Four of a kindSeptember 22, 20252025 engine
3,123#11,981,215Four of a kindSeptember 22, 20252025 engine
3,124#11,981,308Four of a kindSeptember 22, 20252025 engine
3,125#11,991,524Four of a kindSeptember 23, 20252025 engine
3,126#11,991,650Four of a kindSeptember 23, 20252025 engine
3,127#11,992,897Four of a kindSeptember 23, 20252025 engine
3,128#11,994,770Four of a kindSeptember 23, 20252025 engine
3,129#11,995,019Four of a kindSeptember 23, 20252025 engine
3,130#11,998,155Four of a kindSeptember 23, 20252025 engine
3,131#12,006,942Four of a kindSeptember 23, 20252025 engine
3,132#12,011,443Four of a kindSeptember 23, 20252025 engine
3,133#12,014,525Four of a kindSeptember 23, 20252025 engine
3,134#12,017,464Four of a kindSeptember 23, 20252025 engine
3,135#12,022,954Four of a kindSeptember 23, 20252025 engine
3,136#12,032,339Four of a kindSeptember 23, 20252025 engine
3,137#12,032,870Four of a kindSeptember 23, 20252025 engine
3,138#12,056,326Four of a kindSeptember 23, 20252025 engine
3,139#12,057,180Four of a kindSeptember 23, 20252025 engine
3,140#12,058,024Four of a kindSeptember 23, 20252025 engine
3,141#12,058,093Four of a kindSeptember 23, 20252025 engine
3,142#12,067,691Four of a kindSeptember 23, 20252025 engine
3,143#12,069,797Four of a kindSeptember 24, 20252025 engine
3,144#12,087,999Four of a kindSeptember 24, 20252025 engine
3,145#12,089,008Four of a kindSeptember 24, 20252025 engine
3,146#12,089,129Four of a kindSeptember 24, 20252025 engine
3,147#12,108,283Four of a kindSeptember 24, 20252025 engine
3,148#12,108,398Four of a kindSeptember 24, 20252025 engine
3,149#12,110,938Four of a kindSeptember 24, 20252025 engine
3,150#12,111,960Four of a kindSeptember 24, 20252025 engine
3,151#12,121,268Four of a kindSeptember 24, 20252025 engine
3,152#12,126,493Four of a kindSeptember 24, 20252025 engine
3,153#12,126,631Four of a kindSeptember 24, 20252025 engine
3,154#12,128,327Four of a kindSeptember 24, 20252025 engine
3,155#12,128,393Four of a kindSeptember 24, 20252025 engine
3,156#12,131,001Four of a kindSeptember 24, 20252025 engine
3,157#12,146,245Four of a kindSeptember 24, 20252025 engine
3,158#12,149,053Four of a kindSeptember 24, 20252025 engine
3,159#12,151,527Four of a kindSeptember 24, 20252025 engine
3,160#12,154,473Four of a kindSeptember 25, 20252025 engine
3,161#12,161,969Four of a kindSeptember 25, 20252025 engine
3,162#12,164,343Four of a kindSeptember 25, 20252025 engine
3,163#12,165,944Four of a kindSeptember 25, 20252025 engine
3,164#12,168,371Four of a kindSeptember 25, 20252025 engine
3,165#12,169,460Four of a kindSeptember 25, 20252025 engine
3,166#12,172,442Four of a kindSeptember 25, 20252025 engine
3,167#12,180,350Four of a kindSeptember 25, 20252025 engine
3,168#12,184,107Four of a kindSeptember 25, 20252025 engine
3,169#12,186,988Four of a kindSeptember 25, 20252025 engine
3,170#12,192,859Four of a kindSeptember 25, 20252025 engine
3,171#12,200,928Four of a kindSeptember 25, 20252025 engine
3,172#12,201,443Four of a kindSeptember 25, 20252025 engine
3,173#12,208,736Four of a kindSeptember 25, 20252025 engine
3,174#12,211,753Four of a kindSeptember 25, 20252025 engine
3,175#12,218,128Four of a kindSeptember 25, 20252025 engine
3,176#12,222,594Four of a kindSeptember 25, 20252025 engine
3,177#12,227,134Four of a kindSeptember 25, 20252025 engine
3,178#12,234,795Four of a kindSeptember 25, 20252025 engine
3,179#12,242,470Four of a kindSeptember 26, 20252025 engine
3,180#12,243,634Four of a kindSeptember 26, 20252025 engine
3,181#12,249,320Four of a kindSeptember 26, 20252025 engine
3,182#12,250,191Four of a kindSeptember 26, 20252025 engine
3,183#12,257,515Four of a kindSeptember 26, 20252025 engine
3,184#12,265,303Four of a kindSeptember 26, 20252025 engine
3,185#12,276,450Four of a kindSeptember 26, 20252025 engine
3,186#12,276,544Four of a kindSeptember 26, 20252025 engine
3,187#12,279,327Four of a kindSeptember 26, 20252025 engine
3,188#12,283,859Four of a kindSeptember 26, 20252025 engine
3,189#12,288,805Four of a kindSeptember 26, 20252025 engine
3,190#12,295,299Four of a kindSeptember 26, 20252025 engine
3,191#12,300,939Four of a kindAugust 28, 2026this site
3,192#12,301,908Four of a kindAugust 28, 2026this site
3,193#12,305,239Four of a kindAugust 28, 2026this site
3,194#12,307,101Four of a kindAugust 28, 2026this site
3,195#12,313,851Four of a kindAugust 28, 2026this site
3,196#12,319,437Four of a kindAugust 28, 2026this site
3,197#12,325,675Four of a kindAugust 28, 2026this site
3,198#12,332,744Four of a kindAugust 28, 2026this site
3,199#12,332,905Four of a kindAugust 28, 2026this site
3,200#12,332,978Four of a kindAugust 28, 2026this site

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.