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. 3,684 shuffles have qualified so far.

RankShuffleHandShuffledEra
2,201#8,346,597Four of a kindAugust 5, 20252025 engine
2,202#8,346,819Four of a kindAugust 5, 20252025 engine
2,203#8,347,990Four of a kindAugust 5, 20252025 engine
2,204#8,348,547Four of a kindAugust 5, 20252025 engine
2,205#8,355,085Four of a kindAugust 6, 20252025 engine
2,206#8,355,342Four of a kindAugust 6, 20252025 engine
2,207#8,356,931Four of a kindAugust 6, 20252025 engine
2,208#8,357,390Four of a kindAugust 6, 20252025 engine
2,209#8,358,024Four of a kindAugust 6, 20252025 engine
2,210#8,359,763Four of a kindAugust 6, 20252025 engine
2,211#8,361,845Four of a kindAugust 6, 20252025 engine
2,212#8,365,742Four of a kindAugust 6, 20252025 engine
2,213#8,367,382Four of a kindAugust 6, 20252025 engine
2,214#8,368,176Four of a kindAugust 6, 20252025 engine
2,215#8,368,801Four of a kindAugust 6, 20252025 engine
2,216#8,372,636Four of a kindAugust 6, 20252025 engine
2,217#8,374,539Four of a kindAugust 6, 20252025 engine
2,218#8,374,695Four of a kindAugust 6, 20252025 engine
2,219#8,378,212Four of a kindAugust 6, 20252025 engine
2,220#8,380,860Four of a kindAugust 6, 20252025 engine
2,221#8,381,088Four of a kindAugust 6, 20252025 engine
2,222#8,381,331Four of a kindAugust 6, 20252025 engine
2,223#8,382,760Four of a kindAugust 6, 20252025 engine
2,224#8,388,380Four of a kindAugust 6, 20252025 engine
2,225#8,390,527Four of a kindAugust 6, 20252025 engine
2,226#8,393,391Four of a kindAugust 6, 20252025 engine
2,227#8,398,520Four of a kindAugust 6, 20252025 engine
2,228#8,418,312Four of a kindAugust 6, 20252025 engine
2,229#8,419,280Four of a kindAugust 6, 20252025 engine
2,230#8,420,035Four of a kindAugust 6, 20252025 engine
2,231#8,421,245Four of a kindAugust 6, 20252025 engine
2,232#8,422,719Four of a kindAugust 6, 20252025 engine
2,233#8,426,856Four of a kindAugust 6, 20252025 engine
2,234#8,427,239Four of a kindAugust 6, 20252025 engine
2,235#8,431,028Four of a kindAugust 6, 20252025 engine
2,236#8,433,368Four of a kindAugust 6, 20252025 engine
2,237#8,439,486Four of a kindAugust 7, 20252025 engine
2,238#8,440,221Four of a kindAugust 7, 20252025 engine
2,239#8,441,289Four of a kindAugust 7, 20252025 engine
2,240#8,442,838Four of a kindAugust 7, 20252025 engine
2,241#8,446,508Four of a kindAugust 7, 20252025 engine
2,242#8,446,688Four of a kindAugust 7, 20252025 engine
2,243#8,449,815Four of a kindAugust 7, 20252025 engine
2,244#8,455,492Four of a kindAugust 7, 20252025 engine
2,245#8,457,920Four of a kindAugust 7, 20252025 engine
2,246#8,457,926Four of a kindAugust 7, 20252025 engine
2,247#8,470,501Four of a kindAugust 7, 20252025 engine
2,248#8,471,106Four of a kindAugust 7, 20252025 engine
2,249#8,472,686Four of a kindAugust 7, 20252025 engine
2,250#8,485,202Four of a kindAugust 7, 20252025 engine
2,251#8,494,367Four of a kindAugust 7, 20252025 engine
2,252#8,494,842Four of a kindAugust 7, 20252025 engine
2,253#8,495,980Four of a kindAugust 7, 20252025 engine
2,254#8,501,389Four of a kindAugust 7, 20252025 engine
2,255#8,504,889Four of a kindAugust 7, 20252025 engine
2,256#8,506,028Four of a kindAugust 7, 20252025 engine
2,257#8,507,877Four of a kindAugust 7, 20252025 engine
2,258#8,512,075Four of a kindAugust 7, 20252025 engine
2,259#8,514,871Four of a kindAugust 7, 20252025 engine
2,260#8,515,303Four of a kindAugust 7, 20252025 engine
2,261#8,516,952Four of a kindAugust 7, 20252025 engine
2,262#8,524,760Four of a kindAugust 8, 20252025 engine
2,263#8,525,481Four of a kindAugust 8, 20252025 engine
2,264#8,526,552Four of a kindAugust 8, 20252025 engine
2,265#8,528,883Four of a kindAugust 8, 20252025 engine
2,266#8,531,614Four of a kindAugust 8, 20252025 engine
2,267#8,532,772Four of a kindAugust 8, 20252025 engine
2,268#8,535,707Four of a kindAugust 8, 20252025 engine
2,269#8,537,975Four of a kindAugust 8, 20252025 engine
2,270#8,539,024Four of a kindAugust 8, 20252025 engine
2,271#8,545,507Four of a kindAugust 8, 20252025 engine
2,272#8,557,312Four of a kindAugust 8, 20252025 engine
2,273#8,557,560Four of a kindAugust 8, 20252025 engine
2,274#8,559,565Four of a kindAugust 8, 20252025 engine
2,275#8,560,494Four of a kindAugust 8, 20252025 engine
2,276#8,572,660Four of a kindAugust 8, 20252025 engine
2,277#8,582,656Four of a kindAugust 8, 20252025 engine
2,278#8,588,821Four of a kindAugust 8, 20252025 engine
2,279#8,592,131Four of a kindAugust 8, 20252025 engine
2,280#8,594,554Four of a kindAugust 8, 20252025 engine
2,281#8,600,916Four of a kindAugust 8, 20252025 engine
2,282#8,603,985Four of a kindAugust 9, 20252025 engine
2,283#8,607,438Four of a kindAugust 9, 20252025 engine
2,284#8,613,448Four of a kindAugust 9, 20252025 engine
2,285#8,623,835Four of a kindAugust 9, 20252025 engine
2,286#8,635,576Four of a kindAugust 9, 20252025 engine
2,287#8,638,856Four of a kindAugust 9, 20252025 engine
2,288#8,646,831Four of a kindAugust 9, 20252025 engine
2,289#8,653,826Four of a kindAugust 9, 20252025 engine
2,290#8,655,882Four of a kindAugust 9, 20252025 engine
2,291#8,672,735Four of a kindAugust 9, 20252025 engine
2,292#8,685,968Four of a kindAugust 9, 20252025 engine
2,293#8,686,652Four of a kindAugust 9, 20252025 engine
2,294#8,689,785Four of a kindAugust 10, 20252025 engine
2,295#8,694,607Four of a kindAugust 10, 20252025 engine
2,296#8,698,450Four of a kindAugust 10, 20252025 engine
2,297#8,699,346Four of a kindAugust 10, 20252025 engine
2,298#8,725,363Four of a kindAugust 10, 20252025 engine
2,299#8,726,834Four of a kindAugust 10, 20252025 engine
2,300#8,732,502Four of a kindAugust 10, 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.