Exhibit

Factory floor.

Compare a shuffled deck with a new one in factory order. On average one card sits in its original position. This room holds the shuffles where eight or more did.

What is ranked

The number of cards whose position in the shuffled deck equals their position in a factory-sealed deck: hearts, diamonds, clubs, spades, ace through king. Ties are ordered by archive number, oldest first.

How rare

Of all possible decks, about one in 97,569 has 8 or more cards in place. The exact figure is the rencontres distribution for 52 items, computed with exact integer arithmetic.

The record

9

Shuffle #764,852, recorded May 8, 2025. 140 shuffles have qualified so far.

RankShuffleCards in placeShuffledEra
1#764,8529May 8, 20252025 engine
2#3,390,3169June 8, 20252025 engine
3#4,268,5739June 18, 20252025 engine
4#4,880,4549June 25, 20252025 engine
5#5,143,8579June 29, 20252025 engine
6#6,333,0819July 13, 20252025 engine
7#8,691,2829August 10, 20252025 engine
8#8,695,5009August 10, 20252025 engine
9#9,196,9829August 16, 20252025 engine
10#12,066,9949September 23, 20252025 engine
11#13,055,7249September 6, 2026this site
12#13,661,5299September 13, 2026this site
13#13,991,0619September 16, 2026this site
14#4,9908April 28, 20252025 engine
15#197,9538April 30, 20252025 engine
16#417,1498May 3, 20252025 engine
17#451,1068May 3, 20252025 engine
18#497,0198May 4, 20252025 engine
19#715,9778May 7, 20252025 engine
20#728,9258May 7, 20252025 engine
21#813,8688May 8, 20252025 engine
22#820,6578May 8, 20252025 engine
23#1,041,3238May 11, 20252025 engine
24#1,115,9058May 12, 20252025 engine
25#1,679,8368May 19, 20252025 engine
26#1,729,5568May 19, 20252025 engine
27#1,735,8268May 19, 20252025 engine
28#1,741,5268May 19, 20252025 engine
29#2,125,8478May 24, 20252025 engine
30#2,452,9428May 28, 20252025 engine
31#2,577,1468May 29, 20252025 engine
32#2,587,7318May 29, 20252025 engine
33#2,613,3718May 30, 20252025 engine
34#2,827,5638June 1, 20252025 engine
35#2,869,6828June 2, 20252025 engine
36#3,015,7228June 3, 20252025 engine
37#3,060,3098June 4, 20252025 engine
38#3,107,8348June 5, 20252025 engine
39#3,123,4218June 5, 20252025 engine
40#3,209,6078June 6, 20252025 engine
41#3,286,9818June 7, 20252025 engine
42#3,424,7578June 8, 20252025 engine
43#3,443,2868June 8, 20252025 engine
44#3,514,7298June 9, 20252025 engine
45#3,530,9788June 10, 20252025 engine
46#3,943,3238June 14, 20252025 engine
47#4,011,6198June 15, 20252025 engine
48#4,080,6908June 16, 20252025 engine
49#4,231,1278June 18, 20252025 engine
50#4,419,8208June 20, 20252025 engine
51#4,458,0048June 20, 20252025 engine
52#4,635,4628June 23, 20252025 engine
53#4,684,0938June 23, 20252025 engine
54#4,792,4428June 24, 20252025 engine
55#4,796,0318June 24, 20252025 engine
56#4,852,3448June 25, 20252025 engine
57#4,874,0448June 25, 20252025 engine
58#4,929,0188June 26, 20252025 engine
59#4,953,4538June 26, 20252025 engine
60#5,039,3368June 27, 20252025 engine
61#5,258,6958June 30, 20252025 engine
62#5,267,3868June 30, 20252025 engine
63#5,359,4578July 1, 20252025 engine
64#5,393,1248July 2, 20252025 engine
65#5,673,3338July 5, 20252025 engine
66#6,075,9328July 10, 20252025 engine
67#6,098,6638July 10, 20252025 engine
68#6,394,3118July 13, 20252025 engine
69#6,530,4708July 15, 20252025 engine
70#6,648,6688July 16, 20252025 engine
71#6,679,7728July 17, 20252025 engine
72#6,743,4098July 18, 20252025 engine
73#6,800,5288July 18, 20252025 engine
74#6,828,3468July 19, 20252025 engine
75#6,922,5768July 20, 20252025 engine
76#6,936,2298July 20, 20252025 engine
77#7,121,0358July 22, 20252025 engine
78#7,269,8418July 24, 20252025 engine
79#7,554,2298July 27, 20252025 engine
80#7,689,3458July 29, 20252025 engine
81#7,751,7098July 29, 20252025 engine
82#7,774,9438July 30, 20252025 engine
83#7,907,2748July 31, 20252025 engine
84#7,942,8068August 1, 20252025 engine
85#7,985,9728August 1, 20252025 engine
86#8,162,7388August 3, 20252025 engine
87#8,226,8218August 4, 20252025 engine
88#8,640,5598August 9, 20252025 engine
89#8,666,9968August 9, 20252025 engine
90#8,801,5748August 11, 20252025 engine
91#8,934,5898August 12, 20252025 engine
92#8,960,7808August 13, 20252025 engine
93#9,016,5128August 13, 20252025 engine
94#9,066,9298August 14, 20252025 engine
95#9,090,3058August 14, 20252025 engine
96#9,156,2158August 15, 20252025 engine
97#9,163,7868August 15, 20252025 engine
98#9,204,6768August 16, 20252025 engine
99#9,243,1258August 16, 20252025 engine
100#9,332,4518August 17, 20252025 engine

The expected number of cards in place is exactly one for a deck of any size, a small piece of mathematics with a long history. The seven shuffles page explains how few riffles it takes before position carries no memory of where a card started.