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. 3,691 shuffles have qualified so far.
| Rank | Shuffle | Hand | Shuffled | Era |
|---|---|---|---|---|
| 3,301 | #12,741,781 | Four of a kind | September 2, 2026 | this site |
| 3,302 | #12,750,022 | Four of a kind | September 2, 2026 | this site |
| 3,303 | #12,751,704 | Four of a kind | September 2, 2026 | this site |
| 3,304 | #12,754,264 | Four of a kind | September 2, 2026 | this site |
| 3,305 | #12,755,992 | Four of a kind | September 2, 2026 | this site |
| 3,306 | #12,758,140 | Four of a kind | September 2, 2026 | this site |
| 3,307 | #12,763,146 | Four of a kind | September 2, 2026 | this site |
| 3,308 | #12,767,762 | Four of a kind | September 2, 2026 | this site |
| 3,309 | #12,768,707 | Four of a kind | September 2, 2026 | this site |
| 3,310 | #12,775,627 | Four of a kind | September 2, 2026 | this site |
| 3,311 | #12,781,733 | Four of a kind | September 2, 2026 | this site |
| 3,312 | #12,783,943 | Four of a kind | September 2, 2026 | this site |
| 3,313 | #12,785,985 | Four of a kind | September 2, 2026 | this site |
| 3,314 | #12,789,831 | Four of a kind | September 2, 2026 | this site |
| 3,315 | #12,793,486 | Four of a kind | September 3, 2026 | this site |
| 3,316 | #12,793,907 | Four of a kind | September 3, 2026 | this site |
| 3,317 | #12,801,082 | Four of a kind | September 3, 2026 | this site |
| 3,318 | #12,807,138 | Four of a kind | September 3, 2026 | this site |
| 3,319 | #12,809,465 | Four of a kind | September 3, 2026 | this site |
| 3,320 | #12,819,396 | Four of a kind | September 3, 2026 | this site |
| 3,321 | #12,819,412 | Four of a kind | September 3, 2026 | this site |
| 3,322 | #12,824,616 | Four of a kind | September 3, 2026 | this site |
| 3,323 | #12,836,119 | Four of a kind | September 3, 2026 | this site |
| 3,324 | #12,843,631 | Four of a kind | September 3, 2026 | this site |
| 3,325 | #12,852,755 | Four of a kind | September 3, 2026 | this site |
| 3,326 | #12,859,840 | Four of a kind | September 3, 2026 | this site |
| 3,327 | #12,860,130 | Four of a kind | September 3, 2026 | this site |
| 3,328 | #12,872,069 | Four of a kind | September 3, 2026 | this site |
| 3,329 | #12,872,311 | Four of a kind | September 3, 2026 | this site |
| 3,330 | #12,880,936 | Four of a kind | September 4, 2026 | this site |
| 3,331 | #12,889,981 | Four of a kind | September 4, 2026 | this site |
| 3,332 | #12,892,694 | Four of a kind | September 4, 2026 | this site |
| 3,333 | #12,892,739 | Four of a kind | September 4, 2026 | this site |
| 3,334 | #12,902,207 | Four of a kind | September 4, 2026 | this site |
| 3,335 | #12,915,693 | Four of a kind | September 4, 2026 | this site |
| 3,336 | #12,919,175 | Four of a kind | September 4, 2026 | this site |
| 3,337 | #12,919,203 | Four of a kind | September 4, 2026 | this site |
| 3,338 | #12,919,867 | Four of a kind | September 4, 2026 | this site |
| 3,339 | #12,920,456 | Four of a kind | September 4, 2026 | this site |
| 3,340 | #12,924,908 | Four of a kind | September 4, 2026 | this site |
| 3,341 | #12,925,167 | Four of a kind | September 4, 2026 | this site |
| 3,342 | #12,926,504 | Four of a kind | September 4, 2026 | this site |
| 3,343 | #12,928,499 | Four of a kind | September 4, 2026 | this site |
| 3,344 | #12,931,614 | Four of a kind | September 4, 2026 | this site |
| 3,345 | #12,933,676 | Four of a kind | September 4, 2026 | this site |
| 3,346 | #12,934,855 | Four of a kind | September 4, 2026 | this site |
| 3,347 | #12,937,579 | Four of a kind | September 4, 2026 | this site |
| 3,348 | #12,943,348 | Four of a kind | September 4, 2026 | this site |
| 3,349 | #12,944,457 | Four of a kind | September 4, 2026 | this site |
| 3,350 | #12,959,521 | Four of a kind | September 4, 2026 | this site |
| 3,351 | #12,975,671 | Four of a kind | September 5, 2026 | this site |
| 3,352 | #12,978,757 | Four of a kind | September 5, 2026 | this site |
| 3,353 | #12,981,636 | Four of a kind | September 5, 2026 | this site |
| 3,354 | #12,994,898 | Four of a kind | September 5, 2026 | this site |
| 3,355 | #13,005,271 | Four of a kind | September 5, 2026 | this site |
| 3,356 | #13,011,411 | Four of a kind | September 5, 2026 | this site |
| 3,357 | #13,015,678 | Four of a kind | September 5, 2026 | this site |
| 3,358 | #13,018,217 | Four of a kind | September 5, 2026 | this site |
| 3,359 | #13,021,900 | Four of a kind | September 5, 2026 | this site |
| 3,360 | #13,027,355 | Four of a kind | September 5, 2026 | this site |
| 3,361 | #13,028,457 | Four of a kind | September 5, 2026 | this site |
| 3,362 | #13,035,207 | Four of a kind | September 5, 2026 | this site |
| 3,363 | #13,035,970 | Four of a kind | September 5, 2026 | this site |
| 3,364 | #13,038,927 | Four of a kind | September 5, 2026 | this site |
| 3,365 | #13,040,186 | Four of a kind | September 5, 2026 | this site |
| 3,366 | #13,040,593 | Four of a kind | September 5, 2026 | this site |
| 3,367 | #13,040,636 | Four of a kind | September 5, 2026 | this site |
| 3,368 | #13,046,968 | Four of a kind | September 5, 2026 | this site |
| 3,369 | #13,047,368 | Four of a kind | September 5, 2026 | this site |
| 3,370 | #13,047,463 | Four of a kind | September 5, 2026 | this site |
| 3,371 | #13,048,364 | Four of a kind | September 5, 2026 | this site |
| 3,372 | #13,054,008 | Four of a kind | September 6, 2026 | this site |
| 3,373 | #13,061,638 | Four of a kind | September 6, 2026 | this site |
| 3,374 | #13,071,259 | Four of a kind | September 6, 2026 | this site |
| 3,375 | #13,075,222 | Four of a kind | September 6, 2026 | this site |
| 3,376 | #13,076,720 | Four of a kind | September 6, 2026 | this site |
| 3,377 | #13,079,119 | Four of a kind | September 6, 2026 | this site |
| 3,378 | #13,099,918 | Four of a kind | September 6, 2026 | this site |
| 3,379 | #13,102,725 | Four of a kind | September 6, 2026 | this site |
| 3,380 | #13,106,324 | Four of a kind | September 6, 2026 | this site |
| 3,381 | #13,122,417 | Four of a kind | September 6, 2026 | this site |
| 3,382 | #13,127,993 | Four of a kind | September 6, 2026 | this site |
| 3,383 | #13,128,724 | Four of a kind | September 6, 2026 | this site |
| 3,384 | #13,131,384 | Four of a kind | September 6, 2026 | this site |
| 3,385 | #13,133,147 | Four of a kind | September 6, 2026 | this site |
| 3,386 | #13,137,947 | Four of a kind | September 6, 2026 | this site |
| 3,387 | #13,141,702 | Four of a kind | September 7, 2026 | this site |
| 3,388 | #13,145,896 | Four of a kind | September 7, 2026 | this site |
| 3,389 | #13,148,363 | Four of a kind | September 7, 2026 | this site |
| 3,390 | #13,152,123 | Four of a kind | September 7, 2026 | this site |
| 3,391 | #13,153,061 | Four of a kind | September 7, 2026 | this site |
| 3,392 | #13,163,349 | Four of a kind | September 7, 2026 | this site |
| 3,393 | #13,173,315 | Four of a kind | September 7, 2026 | this site |
| 3,394 | #13,182,848 | Four of a kind | September 7, 2026 | this site |
| 3,395 | #13,184,169 | Four of a kind | September 7, 2026 | this site |
| 3,396 | #13,185,328 | Four of a kind | September 7, 2026 | this site |
| 3,397 | #13,190,135 | Four of a kind | September 7, 2026 | this site |
| 3,398 | #13,192,158 | Four of a kind | September 7, 2026 | this site |
| 3,399 | #13,196,744 | Four of a kind | September 7, 2026 | this site |
| 3,400 | #13,198,626 | Four of a kind | September 7, 2026 | this 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.