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. 3,659 shuffles have qualified so far.

RankShuffleHandShuffledEra
301#350,489Four of a kindMay 2, 20252025 engine
302#354,444Four of a kindMay 2, 20252025 engine
303#361,701Four of a kindMay 2, 20252025 engine
304#372,996Four of a kindMay 2, 20252025 engine
305#375,482Four of a kindMay 2, 20252025 engine
306#376,304Four of a kindMay 2, 20252025 engine
307#377,758Four of a kindMay 2, 20252025 engine
308#379,138Four of a kindMay 2, 20252025 engine
309#383,853Four of a kindMay 3, 20252025 engine
310#410,117Four of a kindMay 3, 20252025 engine
311#410,397Four of a kindMay 3, 20252025 engine
312#411,409Four of a kindMay 3, 20252025 engine
313#415,511Four of a kindMay 3, 20252025 engine
314#415,589Four of a kindMay 3, 20252025 engine
315#421,582Four of a kindMay 3, 20252025 engine
316#421,583Four of a kindMay 3, 20252025 engine
317#430,087Four of a kindMay 3, 20252025 engine
318#430,356Four of a kindMay 3, 20252025 engine
319#444,479Four of a kindMay 3, 20252025 engine
320#448,401Four of a kindMay 3, 20252025 engine
321#448,686Four of a kindMay 3, 20252025 engine
322#461,844Four of a kindMay 3, 20252025 engine
323#463,688Four of a kindMay 3, 20252025 engine
324#463,689Four of a kindMay 3, 20252025 engine
325#466,691Four of a kindMay 3, 20252025 engine
326#466,930Four of a kindMay 3, 20252025 engine
327#470,009Four of a kindMay 4, 20252025 engine
328#475,917Four of a kindMay 4, 20252025 engine
329#487,947Four of a kindMay 4, 20252025 engine
330#489,146Four of a kindMay 4, 20252025 engine
331#496,578Four of a kindMay 4, 20252025 engine
332#499,926Four of a kindMay 4, 20252025 engine
333#504,908Four of a kindMay 4, 20252025 engine
334#510,245Four of a kindMay 4, 20252025 engine
335#513,641Four of a kindMay 4, 20252025 engine
336#516,671Four of a kindMay 4, 20252025 engine
337#520,153Four of a kindMay 4, 20252025 engine
338#524,142Four of a kindMay 5, 20252025 engine
339#526,244Four of a kindMay 5, 20252025 engine
340#533,501Four of a kindMay 5, 20252025 engine
341#536,523Four of a kindMay 5, 20252025 engine
342#537,712Four of a kindMay 5, 20252025 engine
343#543,779Four of a kindMay 5, 20252025 engine
344#546,643Four of a kindMay 5, 20252025 engine
345#547,741Four of a kindMay 5, 20252025 engine
346#554,940Four of a kindMay 5, 20252025 engine
347#556,013Four of a kindMay 5, 20252025 engine
348#556,014Four of a kindMay 5, 20252025 engine
349#557,582Four of a kindMay 5, 20252025 engine
350#576,544Four of a kindMay 6, 20252025 engine
351#577,161Four of a kindMay 6, 20252025 engine
352#583,905Four of a kindMay 6, 20252025 engine
353#586,972Four of a kindMay 6, 20252025 engine
354#588,407Four of a kindMay 6, 20252025 engine
355#595,191Four of a kindMay 6, 20252025 engine
356#597,081Four of a kindMay 6, 20252025 engine
357#601,327Four of a kindMay 6, 20252025 engine
358#604,865Four of a kindMay 6, 20252025 engine
359#615,959Four of a kindMay 6, 20252025 engine
360#621,441Four of a kindMay 6, 20252025 engine
361#625,717Four of a kindMay 6, 20252025 engine
362#631,432Four of a kindMay 6, 20252025 engine
363#631,920Four of a kindMay 6, 20252025 engine
364#632,943Four of a kindMay 6, 20252025 engine
365#633,287Four of a kindMay 6, 20252025 engine
366#639,483Four of a kindMay 6, 20252025 engine
367#642,110Four of a kindMay 6, 20252025 engine
368#654,353Four of a kindMay 6, 20252025 engine
369#658,310Four of a kindMay 7, 20252025 engine
370#660,922Four of a kindMay 7, 20252025 engine
371#662,076Four of a kindMay 7, 20252025 engine
372#676,972Four of a kindMay 7, 20252025 engine
373#681,970Four of a kindMay 7, 20252025 engine
374#684,496Four of a kindMay 7, 20252025 engine
375#694,898Four of a kindMay 7, 20252025 engine
376#695,532Four of a kindMay 7, 20252025 engine
377#700,455Four of a kindMay 7, 20252025 engine
378#707,733Four of a kindMay 7, 20252025 engine
379#710,326Four of a kindMay 7, 20252025 engine
380#710,798Four of a kindMay 7, 20252025 engine
381#717,141Four of a kindMay 7, 20252025 engine
382#724,837Four of a kindMay 7, 20252025 engine
383#726,493Four of a kindMay 7, 20252025 engine
384#726,768Four of a kindMay 7, 20252025 engine
385#728,558Four of a kindMay 7, 20252025 engine
386#730,267Four of a kindMay 7, 20252025 engine
387#734,250Four of a kindMay 7, 20252025 engine
388#735,940Four of a kindMay 7, 20252025 engine
389#736,450Four of a kindMay 7, 20252025 engine
390#738,932Four of a kindMay 7, 20252025 engine
391#753,773Four of a kindMay 8, 20252025 engine
392#761,048Four of a kindMay 8, 20252025 engine
393#762,330Four of a kindMay 8, 20252025 engine
394#777,013Four of a kindMay 8, 20252025 engine
395#777,545Four of a kindMay 8, 20252025 engine
396#785,619Four of a kindMay 8, 20252025 engine
397#786,016Four of a kindMay 8, 20252025 engine
398#787,181Four of a kindMay 8, 20252025 engine
399#791,013Four of a kindMay 8, 20252025 engine
400#800,336Four of a kindMay 8, 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.