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 |
|---|---|---|---|---|
| 3,501 | #13,630,809 | Four of a kind | September 12, 2026 | this site |
| 3,502 | #13,632,347 | Four of a kind | September 12, 2026 | this site |
| 3,503 | #13,634,039 | Four of a kind | September 12, 2026 | this site |
| 3,504 | #13,635,683 | Four of a kind | September 12, 2026 | this site |
| 3,505 | #13,653,877 | Four of a kind | September 12, 2026 | this site |
| 3,506 | #13,656,426 | Four of a kind | September 13, 2026 | this site |
| 3,507 | #13,657,589 | Four of a kind | September 13, 2026 | this site |
| 3,508 | #13,661,043 | Four of a kind | September 13, 2026 | this site |
| 3,509 | #13,665,524 | Four of a kind | September 13, 2026 | this site |
| 3,510 | #13,666,149 | Four of a kind | September 13, 2026 | this site |
| 3,511 | #13,673,090 | Four of a kind | September 13, 2026 | this site |
| 3,512 | #13,674,037 | Four of a kind | September 13, 2026 | this site |
| 3,513 | #13,683,192 | Four of a kind | September 13, 2026 | this site |
| 3,514 | #13,683,432 | Four of a kind | September 13, 2026 | this site |
| 3,515 | #13,709,389 | Four of a kind | September 13, 2026 | this site |
| 3,516 | #13,709,683 | Four of a kind | September 13, 2026 | this site |
| 3,517 | #13,716,032 | Four of a kind | September 13, 2026 | this site |
| 3,518 | #13,716,212 | Four of a kind | September 13, 2026 | this site |
| 3,519 | #13,717,972 | Four of a kind | September 13, 2026 | this site |
| 3,520 | #13,720,122 | Four of a kind | September 13, 2026 | this site |
| 3,521 | #13,721,436 | Four of a kind | September 13, 2026 | this site |
| 3,522 | #13,724,619 | Four of a kind | September 13, 2026 | this site |
| 3,523 | #13,727,999 | Four of a kind | September 13, 2026 | this site |
| 3,524 | #13,732,146 | Four of a kind | September 13, 2026 | this site |
| 3,525 | #13,734,598 | Four of a kind | September 13, 2026 | this site |
| 3,526 | #13,737,256 | Four of a kind | September 13, 2026 | this site |
| 3,527 | #13,738,530 | Four of a kind | September 13, 2026 | this site |
| 3,528 | #13,740,192 | Four of a kind | September 13, 2026 | this site |
| 3,529 | #13,749,204 | Four of a kind | September 14, 2026 | this site |
| 3,530 | #13,752,941 | Four of a kind | September 14, 2026 | this site |
| 3,531 | #13,753,032 | Four of a kind | September 14, 2026 | this site |
| 3,532 | #13,753,943 | Four of a kind | September 14, 2026 | this site |
| 3,533 | #13,767,875 | Four of a kind | September 14, 2026 | this site |
| 3,534 | #13,776,409 | Four of a kind | September 14, 2026 | this site |
| 3,535 | #13,779,957 | Four of a kind | September 14, 2026 | this site |
| 3,536 | #13,785,391 | Four of a kind | September 14, 2026 | this site |
| 3,537 | #13,799,156 | Four of a kind | September 14, 2026 | this site |
| 3,538 | #13,802,965 | Four of a kind | September 14, 2026 | this site |
| 3,539 | #13,806,266 | Four of a kind | September 14, 2026 | this site |
| 3,540 | #13,816,736 | Four of a kind | September 14, 2026 | this site |
| 3,541 | #13,818,539 | Four of a kind | September 14, 2026 | this site |
| 3,542 | #13,826,519 | Four of a kind | September 14, 2026 | this site |
| 3,543 | #13,833,449 | Four of a kind | September 15, 2026 | this site |
| 3,544 | #13,835,174 | Four of a kind | September 15, 2026 | this site |
| 3,545 | #13,844,986 | Four of a kind | September 15, 2026 | this site |
| 3,546 | #13,845,737 | Four of a kind | September 15, 2026 | this site |
| 3,547 | #13,856,068 | Four of a kind | September 15, 2026 | this site |
| 3,548 | #13,858,662 | Four of a kind | September 15, 2026 | this site |
| 3,549 | #13,859,042 | Four of a kind | September 15, 2026 | this site |
| 3,550 | #13,859,967 | Four of a kind | September 15, 2026 | this site |
| 3,551 | #13,863,897 | Four of a kind | September 15, 2026 | this site |
| 3,552 | #13,864,115 | Four of a kind | September 15, 2026 | this site |
| 3,553 | #13,872,811 | Four of a kind | September 15, 2026 | this site |
| 3,554 | #13,879,975 | Four of a kind | September 15, 2026 | this site |
| 3,555 | #13,889,284 | Four of a kind | September 15, 2026 | this site |
| 3,556 | #13,902,672 | Four of a kind | September 15, 2026 | this site |
| 3,557 | #13,903,531 | Four of a kind | September 15, 2026 | this site |
| 3,558 | #13,910,156 | Four of a kind | September 15, 2026 | this site |
| 3,559 | #13,910,542 | Four of a kind | September 15, 2026 | this site |
| 3,560 | #13,913,054 | Four of a kind | September 15, 2026 | this site |
| 3,561 | #13,917,671 | Four of a kind | September 16, 2026 | this site |
| 3,562 | #13,921,373 | Four of a kind | September 16, 2026 | this site |
| 3,563 | #13,922,027 | Four of a kind | September 16, 2026 | this site |
| 3,564 | #13,922,663 | Four of a kind | September 16, 2026 | this site |
| 3,565 | #13,923,471 | Four of a kind | September 16, 2026 | this site |
| 3,566 | #13,924,131 | Four of a kind | September 16, 2026 | this site |
| 3,567 | #13,931,548 | Four of a kind | September 16, 2026 | this site |
| 3,568 | #13,934,046 | Four of a kind | September 16, 2026 | this site |
| 3,569 | #13,934,798 | Four of a kind | September 16, 2026 | this site |
| 3,570 | #13,936,736 | Four of a kind | September 16, 2026 | this site |
| 3,571 | #13,941,586 | Four of a kind | September 16, 2026 | this site |
| 3,572 | #13,942,262 | Four of a kind | September 16, 2026 | this site |
| 3,573 | #13,951,426 | Four of a kind | September 16, 2026 | this site |
| 3,574 | #13,965,310 | Four of a kind | September 16, 2026 | this site |
| 3,575 | #13,973,647 | Four of a kind | September 16, 2026 | this site |
| 3,576 | #13,975,032 | Four of a kind | September 16, 2026 | this site |
| 3,577 | #13,979,026 | Four of a kind | September 16, 2026 | this site |
| 3,578 | #13,981,550 | Four of a kind | September 16, 2026 | this site |
| 3,579 | #13,984,348 | Four of a kind | September 16, 2026 | this site |
| 3,580 | #13,984,843 | Four of a kind | September 16, 2026 | this site |
| 3,581 | #13,985,427 | Four of a kind | September 16, 2026 | this site |
| 3,582 | #13,989,301 | Four of a kind | September 16, 2026 | this site |
| 3,583 | #13,989,381 | Four of a kind | September 16, 2026 | this site |
| 3,584 | #13,995,906 | Four of a kind | September 16, 2026 | this site |
| 3,585 | #13,996,290 | Four of a kind | September 16, 2026 | this site |
| 3,586 | #14,003,573 | Four of a kind | September 17, 2026 | this site |
| 3,587 | #14,009,210 | Four of a kind | September 17, 2026 | this site |
| 3,588 | #14,013,107 | Four of a kind | September 17, 2026 | this site |
| 3,589 | #14,015,304 | Four of a kind | September 17, 2026 | this site |
| 3,590 | #14,018,862 | Four of a kind | September 17, 2026 | this site |
| 3,591 | #14,020,483 | Four of a kind | September 17, 2026 | this site |
| 3,592 | #14,021,294 | Four of a kind | September 17, 2026 | this site |
| 3,593 | #14,022,422 | Four of a kind | September 17, 2026 | this site |
| 3,594 | #14,024,112 | Four of a kind | September 17, 2026 | this site |
| 3,595 | #14,024,420 | Four of a kind | September 17, 2026 | this site |
| 3,596 | #14,027,598 | Four of a kind | September 17, 2026 | this site |
| 3,597 | #14,028,361 | Four of a kind | September 17, 2026 | this site |
| 3,598 | #14,029,841 | Four of a kind | September 17, 2026 | this site |
| 3,599 | #14,032,015 | Four of a kind | September 17, 2026 | this site |
| 3,600 | #14,032,542 | Four of a kind | September 17, 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.