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
101#9,339,8738August 17, 20252025 engine
102#9,551,6498August 20, 20252025 engine
103#9,582,6828August 20, 20252025 engine
104#9,628,6318August 21, 20252025 engine
105#9,808,1198August 23, 20252025 engine
106#10,116,9018August 26, 20252025 engine
107#10,334,8928August 29, 20252025 engine
108#10,369,5278August 29, 20252025 engine
109#10,554,1668September 1, 20252025 engine
110#10,578,6738September 1, 20252025 engine
111#10,787,4718September 3, 20252025 engine
112#10,789,2178September 3, 20252025 engine
113#11,228,4408September 9, 20252025 engine
114#11,359,4878September 15, 20252025 engine
115#11,542,9448September 17, 20252025 engine
116#11,799,0268September 20, 20252025 engine
117#11,810,4638September 20, 20252025 engine
118#12,006,0318September 23, 20252025 engine
119#12,014,8688September 23, 20252025 engine
120#12,100,4338September 24, 20252025 engine
121#12,192,0108September 25, 20252025 engine
122#12,287,7348September 26, 20252025 engine
123#12,597,4338August 31, 2026this site
124#12,612,3708August 31, 2026this site
125#12,629,2178September 1, 2026this site
126#12,877,2468September 3, 2026this site
127#12,974,3188September 5, 2026this site
128#13,093,7408September 6, 2026this site
129#13,144,3598September 7, 2026this site
130#13,327,6738September 9, 2026this site
131#13,419,3818September 10, 2026this site
132#13,509,6028September 11, 2026this site
133#13,535,4568September 11, 2026this site
134#13,769,0688September 14, 2026this site
135#13,905,6258September 15, 2026this site
136#13,927,3228September 16, 2026this site
137#14,070,1158September 17, 2026this site
138#14,138,2138September 18, 2026this site
139#14,342,9948September 21, 2026this site
140#14,355,0508September 21, 2026this site

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.