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. 3,657 shuffles have qualified so far.

RankShuffleHandShuffledEra
101#5,480,208Straight flushJuly 3, 20252025 engine
102#5,552,181Straight flushJuly 3, 20252025 engine
103#5,714,898Straight flushJuly 5, 20252025 engine
104#5,725,037Straight flushJuly 5, 20252025 engine
105#5,733,011Straight flushJuly 6, 20252025 engine
106#5,792,470Straight flushJuly 6, 20252025 engine
107#5,813,273Straight flushJuly 7, 20252025 engine
108#5,873,322Straight flushJuly 7, 20252025 engine
109#5,978,297Straight flushJuly 8, 20252025 engine
110#5,987,022Straight flushJuly 9, 20252025 engine
111#6,135,826Straight flushJuly 10, 20252025 engine
112#6,164,511Straight flushJuly 11, 20252025 engine
113#6,207,416Straight flushJuly 11, 20252025 engine
114#6,272,117Straight flushJuly 12, 20252025 engine
115#6,356,062Straight flushJuly 13, 20252025 engine
116#6,443,563Straight flushJuly 14, 20252025 engine
117#6,542,288Straight flushJuly 15, 20252025 engine
118#6,576,257Straight flushJuly 16, 20252025 engine
119#6,650,609Straight flushJuly 16, 20252025 engine
120#6,658,047Straight flushJuly 17, 20252025 engine
121#6,790,236Straight flushJuly 18, 20252025 engine
122#6,798,704Straight flushJuly 18, 20252025 engine
123#6,840,566Straight flushJuly 19, 20252025 engine
124#6,881,019Straight flushJuly 19, 20252025 engine
125#6,976,910Straight flushJuly 20, 20252025 engine
126#7,014,468Straight flushJuly 21, 20252025 engine
127#7,048,790Straight flushJuly 21, 20252025 engine
128#7,070,957Straight flushJuly 21, 20252025 engine
129#7,155,979Straight flushJuly 22, 20252025 engine
130#7,182,775Straight flushJuly 23, 20252025 engine
131#7,206,217Straight flushJuly 23, 20252025 engine
132#7,347,230Straight flushJuly 25, 20252025 engine
133#7,435,569Straight flushJuly 26, 20252025 engine
134#7,461,676Straight flushJuly 26, 20252025 engine
135#7,555,691Straight flushJuly 27, 20252025 engine
136#7,673,937Straight flushJuly 29, 20252025 engine
137#7,774,994Straight flushJuly 30, 20252025 engine
138#7,881,079Straight flushJuly 31, 20252025 engine
139#7,887,560Straight flushJuly 31, 20252025 engine
140#7,916,694Straight flushJuly 31, 20252025 engine
141#8,049,147Straight flushAugust 2, 20252025 engine
142#8,307,510Straight flushAugust 5, 20252025 engine
143#8,389,751Straight flushAugust 6, 20252025 engine
144#8,429,218Straight flushAugust 6, 20252025 engine
145#8,438,372Straight flushAugust 7, 20252025 engine
146#8,522,454Straight flushAugust 8, 20252025 engine
147#8,602,426Straight flushAugust 8, 20252025 engine
148#8,615,306Straight flushAugust 9, 20252025 engine
149#8,616,858Straight flushAugust 9, 20252025 engine
150#8,624,962Straight flushAugust 9, 20252025 engine
151#8,869,603Straight flushAugust 12, 20252025 engine
152#8,916,232Straight flushAugust 12, 20252025 engine
153#9,118,566Straight flushAugust 15, 20252025 engine
154#9,197,826Straight flushAugust 16, 20252025 engine
155#9,270,294Straight flushAugust 16, 20252025 engine
156#9,441,180Straight flushAugust 18, 20252025 engine
157#9,511,938Straight flushAugust 19, 20252025 engine
158#9,622,301Straight flushAugust 21, 20252025 engine
159#9,635,813Straight flushAugust 21, 20252025 engine
160#9,911,294Straight flushAugust 24, 20252025 engine
161#10,034,910Straight flushAugust 25, 20252025 engine
162#10,036,796Straight flushAugust 25, 20252025 engine
163#10,108,688Straight flushAugust 26, 20252025 engine
164#10,110,762Straight flushAugust 26, 20252025 engine
165#10,132,184Straight flushAugust 27, 20252025 engine
166#10,172,973Straight flushAugust 27, 20252025 engine
167#10,200,781Straight flushAugust 27, 20252025 engine
168#10,343,435Straight flushAugust 29, 20252025 engine
169#10,364,268Straight flushAugust 29, 20252025 engine
170#10,450,836Straight flushAugust 30, 20252025 engine
171#10,504,129Straight flushAugust 31, 20252025 engine
172#10,678,508Straight flushSeptember 2, 20252025 engine
173#10,679,245Straight flushSeptember 2, 20252025 engine
174#10,691,797Straight flushSeptember 2, 20252025 engine
175#10,783,278Straight flushSeptember 3, 20252025 engine
176#10,826,832Straight flushSeptember 4, 20252025 engine
177#10,993,654Straight flushSeptember 6, 20252025 engine
178#11,091,037Straight flushSeptember 7, 20252025 engine
179#11,130,790Straight flushSeptember 7, 20252025 engine
180#11,273,997Straight flushSeptember 14, 20252025 engine
181#11,309,089Straight flushSeptember 15, 20252025 engine
182#11,414,995Straight flushSeptember 16, 20252025 engine
183#11,449,633Straight flushSeptember 16, 20252025 engine
184#11,450,789Straight flushSeptember 16, 20252025 engine
185#11,533,384Straight flushSeptember 17, 20252025 engine
186#11,559,275Straight flushSeptember 17, 20252025 engine
187#11,591,596Straight flushSeptember 18, 20252025 engine
188#11,624,058Straight flushSeptember 18, 20252025 engine
189#11,680,013Straight flushSeptember 19, 20252025 engine
190#11,874,625Straight flushSeptember 21, 20252025 engine
191#11,883,501Straight flushSeptember 21, 20252025 engine
192#11,924,263Straight flushSeptember 22, 20252025 engine
193#11,947,047Straight flushSeptember 22, 20252025 engine
194#12,202,458Straight flushSeptember 25, 20252025 engine
195#12,622,443Straight flushSeptember 1, 2026this site
196#12,642,141Straight flushSeptember 1, 2026this site
197#12,674,530Straight flushSeptember 1, 2026this site
198#12,879,010Straight flushSeptember 3, 2026this site
199#12,901,029Straight flushSeptember 4, 2026this site
200#12,904,893Straight flushSeptember 4, 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.