Card Games
Riffle shuffle
A riffle shuffle is a card-shuffling technique where you cut the deck into two piles and then merge them by letting cards fall from each pile in an alternating or random order.
- Also called
- dovetail shuffle, riffle, leafing the cards17
- Gilbert–Shannon–Reeds model
- Deck cut into two piles with top pile size
n ~ Bin(N, 1/2), then interleaved uniformly among all\binom{N}{n}possibilities34 - Faro shuffle vs riffle
- A faro shuffle is a perfect interleaving of two equal halves; a riffle shuffle is an ordinary cut-and-interleave shuffle and may be imperfect61
Key points
- The deck is split into two packets, then cards are released from each packet and interleaved into one deck12.
- In the Gilbert–Shannon–Reeds model, packet sizes are random and the interleaving is uniformly random conditioned on those sizes34.
- A riffle shuffle permutation has only 1 or 2 maximal rising sequences, a property used to detect how many times a deck has been shuffled5.
- A table riffle shuffle is performed on a table surface, often used in casinos to avoid exposing cards.
How to riffle shuffle a deck of cards
- Split the deck into two roughly equal packets, one in each hand.
- Hold the packets so the corners of the cards are close together, then release the cards from each thumb so they interleave.
- Once the packets are fully interleaved, push the cards together to square the deck.
Common questions
Does riffle shuffle damage cards?
Yes, repeated riffle shuffling can bend and wear the cards over time, especially if done forcefully. Casinos often replace decks regularly to maintain fairness.
How to riffle shuffle a deck of cards?
Split the deck into two packets, hold them so the corners meet, then release cards from each thumb to interleave them. Push the deck together to square it.
Where this term is used
Not the same as
- Faro shuffle vs riffle — a faro shuffle is a perfect interleaving of two equal halves, whereas a riffle shuffle is an ordinary cut-and-interleave shuffle that may be imperfect
- Casino riffle shuffle — not a distinct term; the retrieved sources discuss card shuffling generally, not a casino-specific rule
Related terms
Sources
- Shuffling en.wikipedia.org Defines the riffle shuffle and its alternative names.
- Gilbert–Shannon–Reeds model en.wikipedia.org Describes the Gilbert–Shannon–Reeds model for riffle shuffling.
- Universality of Cutoff for Riffle Shuffling arxiv.org Provides the binomial distribution model for packet sizes.
- Cutoff for the Asymmetric Riffle Shuffle arxiv.org Supports the uniform random interleaving conditioned on packet sizes.
- Riffle shuffle permutation en.wikipedia.org States the rising sequence characterization of riffle shuffle permutations.
- Faro shuffle en.wikipedia.org Distinguishes faro shuffle from riffle shuffle.
- No Feedback? No Worries! arxiv.org Lists 'leafing the cards' as an alternative name.
Sources are drawn from regulators, universities and published research, and each one is labelled with what it actually is — a preprint is not called a paper. Bookmaker and affiliate pages are never cited here, because a page that sells betting is not a neutral authority on it.