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. 3,658 shuffles have qualified so far.
| Rank | Shuffle | Hand | Shuffled | Era |
|---|---|---|---|---|
| 201 | #12,908,119 | Straight flush | September 4, 2026 | this site |
| 202 | #12,919,844 | Straight flush | September 4, 2026 | this site |
| 203 | #12,926,173 | Straight flush | September 4, 2026 | this site |
| 204 | #12,985,355 | Straight flush | September 5, 2026 | this site |
| 205 | #13,012,850 | Straight flush | September 5, 2026 | this site |
| 206 | #13,047,581 | Straight flush | September 5, 2026 | this site |
| 207 | #13,082,694 | Straight flush | September 6, 2026 | this site |
| 208 | #13,187,058 | Straight flush | September 7, 2026 | this site |
| 209 | #13,542,454 | Straight flush | September 11, 2026 | this site |
| 210 | #13,613,264 | Straight flush | September 12, 2026 | this site |
| 211 | #13,658,467 | Straight flush | September 13, 2026 | this site |
| 212 | #13,759,481 | Straight flush | September 14, 2026 | this site |
| 213 | #14,024,031 | Straight flush | September 17, 2026 | this site |
| 214 | #14,070,745 | Straight flush | September 17, 2026 | this site |
| 215 | #14,133,165 | Straight flush | September 18, 2026 | this site |
| 216 | #14,236,259 | Straight flush | September 19, 2026 | this site |
| 217 | #14,265,098 | Straight flush | September 20, 2026 | this site |
| 218 | #2,865 | Four of a kind | April 28, 2025 | 2025 engine |
| 219 | #7,147 | Four of a kind | April 28, 2025 | 2025 engine |
| 220 | #9,356 | Four of a kind | April 28, 2025 | 2025 engine |
| 221 | #9,357 | Four of a kind | April 28, 2025 | 2025 engine |
| 222 | #12,752 | Four of a kind | April 28, 2025 | 2025 engine |
| 223 | #17,003 | Four of a kind | April 28, 2025 | 2025 engine |
| 224 | #20,900 | Four of a kind | April 28, 2025 | 2025 engine |
| 225 | #22,771 | Four of a kind | April 28, 2025 | 2025 engine |
| 226 | #23,747 | Four of a kind | April 28, 2025 | 2025 engine |
| 227 | #25,806 | Four of a kind | April 28, 2025 | 2025 engine |
| 228 | #26,179 | Four of a kind | April 28, 2025 | 2025 engine |
| 229 | #34,078 | Four of a kind | April 28, 2025 | 2025 engine |
| 230 | #48,138 | Four of a kind | April 29, 2025 | 2025 engine |
| 231 | #50,150 | Four of a kind | April 29, 2025 | 2025 engine |
| 232 | #53,684 | Four of a kind | April 29, 2025 | 2025 engine |
| 233 | #60,585 | Four of a kind | April 29, 2025 | 2025 engine |
| 234 | #60,586 | Four of a kind | April 29, 2025 | 2025 engine |
| 235 | #64,970 | Four of a kind | April 29, 2025 | 2025 engine |
| 236 | #67,395 | Four of a kind | April 29, 2025 | 2025 engine |
| 237 | #67,400 | Four of a kind | April 29, 2025 | 2025 engine |
| 238 | #68,904 | Four of a kind | April 29, 2025 | 2025 engine |
| 239 | #70,922 | Four of a kind | April 29, 2025 | 2025 engine |
| 240 | #77,062 | Four of a kind | April 29, 2025 | 2025 engine |
| 241 | #80,224 | Four of a kind | April 29, 2025 | 2025 engine |
| 242 | #82,717 | Four of a kind | April 29, 2025 | 2025 engine |
| 243 | #84,870 | Four of a kind | April 29, 2025 | 2025 engine |
| 244 | #91,179 | Four of a kind | April 29, 2025 | 2025 engine |
| 245 | #91,946 | Four of a kind | April 29, 2025 | 2025 engine |
| 246 | #100,991 | Four of a kind | April 29, 2025 | 2025 engine |
| 247 | #107,326 | Four of a kind | April 29, 2025 | 2025 engine |
| 248 | #107,327 | Four of a kind | April 29, 2025 | 2025 engine |
| 249 | #107,328 | Four of a kind | April 29, 2025 | 2025 engine |
| 250 | #111,527 | Four of a kind | April 29, 2025 | 2025 engine |
| 251 | #117,962 | Four of a kind | April 29, 2025 | 2025 engine |
| 252 | #119,270 | Four of a kind | April 29, 2025 | 2025 engine |
| 253 | #128,616 | Four of a kind | April 30, 2025 | 2025 engine |
| 254 | #132,105 | Four of a kind | April 30, 2025 | 2025 engine |
| 255 | #132,876 | Four of a kind | April 30, 2025 | 2025 engine |
| 256 | #140,070 | Four of a kind | April 30, 2025 | 2025 engine |
| 257 | #140,277 | Four of a kind | April 30, 2025 | 2025 engine |
| 258 | #151,277 | Four of a kind | April 30, 2025 | 2025 engine |
| 259 | #162,002 | Four of a kind | April 30, 2025 | 2025 engine |
| 260 | #166,645 | Four of a kind | April 30, 2025 | 2025 engine |
| 261 | #169,987 | Four of a kind | April 30, 2025 | 2025 engine |
| 262 | #185,415 | Four of a kind | April 30, 2025 | 2025 engine |
| 263 | #188,583 | Four of a kind | April 30, 2025 | 2025 engine |
| 264 | #192,572 | Four of a kind | April 30, 2025 | 2025 engine |
| 265 | #195,964 | Four of a kind | April 30, 2025 | 2025 engine |
| 266 | #203,617 | Four of a kind | April 30, 2025 | 2025 engine |
| 267 | #203,758 | Four of a kind | April 30, 2025 | 2025 engine |
| 268 | #203,852 | Four of a kind | April 30, 2025 | 2025 engine |
| 269 | #204,068 | Four of a kind | April 30, 2025 | 2025 engine |
| 270 | #219,232 | Four of a kind | May 1, 2025 | 2025 engine |
| 271 | #221,374 | Four of a kind | May 1, 2025 | 2025 engine |
| 272 | #233,419 | Four of a kind | May 1, 2025 | 2025 engine |
| 273 | #234,310 | Four of a kind | May 1, 2025 | 2025 engine |
| 274 | #243,318 | Four of a kind | May 1, 2025 | 2025 engine |
| 275 | #246,809 | Four of a kind | May 1, 2025 | 2025 engine |
| 276 | #248,313 | Four of a kind | May 1, 2025 | 2025 engine |
| 277 | #249,627 | Four of a kind | May 1, 2025 | 2025 engine |
| 278 | #250,690 | Four of a kind | May 1, 2025 | 2025 engine |
| 279 | #253,882 | Four of a kind | May 1, 2025 | 2025 engine |
| 280 | #269,058 | Four of a kind | May 1, 2025 | 2025 engine |
| 281 | #271,524 | Four of a kind | May 1, 2025 | 2025 engine |
| 282 | #272,110 | Four of a kind | May 1, 2025 | 2025 engine |
| 283 | #277,656 | Four of a kind | May 1, 2025 | 2025 engine |
| 284 | #286,020 | Four of a kind | May 1, 2025 | 2025 engine |
| 285 | #299,642 | Four of a kind | May 2, 2025 | 2025 engine |
| 286 | #305,900 | Four of a kind | May 2, 2025 | 2025 engine |
| 287 | #308,059 | Four of a kind | May 2, 2025 | 2025 engine |
| 288 | #311,501 | Four of a kind | May 2, 2025 | 2025 engine |
| 289 | #312,730 | Four of a kind | May 2, 2025 | 2025 engine |
| 290 | #321,513 | Four of a kind | May 2, 2025 | 2025 engine |
| 291 | #321,617 | Four of a kind | May 2, 2025 | 2025 engine |
| 292 | #327,074 | Four of a kind | May 2, 2025 | 2025 engine |
| 293 | #328,007 | Four of a kind | May 2, 2025 | 2025 engine |
| 294 | #331,930 | Four of a kind | May 2, 2025 | 2025 engine |
| 295 | #336,560 | Four of a kind | May 2, 2025 | 2025 engine |
| 296 | #338,221 | Four of a kind | May 2, 2025 | 2025 engine |
| 297 | #340,367 | Four of a kind | May 2, 2025 | 2025 engine |
| 298 | #344,153 | Four of a kind | May 2, 2025 | 2025 engine |
| 299 | #345,016 | Four of a kind | May 2, 2025 | 2025 engine |
| 300 | #345,017 | Four of a kind | May 2, 2025 | 2025 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.