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Pyramid Dice

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Pyramid Dice is a casino game played with two six-sided dice. The goal is to roll as many unique groups of numbers in a row as possible. The game was created by Kal Gaming, and has been seen in Las Vegas casinos, such as the Grand Sierra Resort and the Flamingo Las Vegas.[1][2]

Rules of play[edit]

The game is played with one player, called the shooter, rolling the dice until they lose. Additional players may make side bets on the rolls of the player[1]. In this way, it is similar to Craps, and some of the side bets are similar to Roulette.

There are 21 unique rolls of two six-sided dice, not caring about the order the dice were rolled. These unique rolls are outlined below on the table. The shape of the table looks like a pyramid, thus the name of the game.

A table showing all unique rolls of two six-sided dice.
1 2 3 4 5 6
1 X X X X X X
2 X X X X X
3 X X X X
4 X X X
5 X X
6 X

As the shooter rolls the dice, each pair of numbers is noted. Some side bets are paid out after each roll. The primary bet is paid out after the shooter re-rolls a pair of numbers and completes their run.

Bet Payouts[edit]

The primary bet of the game is on how many rolls in a row the shooter can roll without a duplicate. If a shooter rolls six or fewer rolls before rolling a duplicate, bets on the shooter are lost. If the shooter rolls a duplicate after exactly seven rolls, it's considered a push and bets on the shooter are returned without any loss. On eight or more rolls without a duplicate the following payout table is typically used. The Jackpot could be a large fixed amount (e.g. $1 million USD) or a progressive jackpot.

Payouts made for rolls in a row without duplicates. [3]
Rolls Payout Rolls Payout
8 1 to 1 15 50 to 1
9 2 to 1 16 100 to 1
10 3 to 1 17 500 to 1
11 4 to 1 18 2,500 to 1
12 7 to 1 19 25,000 to 1
13 9 to 1 20 50,000 to 1
14 20 to 1 21 Jackpot

Examples of play[edit]

Suppose the shooter rolls the following string of rolls: {2, 6}, {1, 1}, {2, 3}, {6, 4}, {3, 2}. The game ends because the shooter had already rolled both a {2, 3} and a {3, 2}. The shooter had rolled four rolls without a duplicate, so all players who bet on the shooter would lose those bets; the casino would collect them.

Suppose the shooter rolls: {3, 3}, {1, 5}, {2, 5}, {3, 4}, {6, 6}, {1, 2}, {5, 6}, {2, 4}, {1, 4}, {2, 4}, {6, 6}. The game ends because of the duplicate pair of sixes, with ten rolls before the duplicate. Any bets on the shooter would be paid out at 3 to 1, as per the above table. A player who bet $1 would get their $1 bet back plus $3 paid by the casino. Similarly, a player who bet $20 would earn a profit of $60.

Suppose the shooter rolls: {4, 4}, {4, 5}, {2, 3}, {1, 5}, {6, 1}, {3, 3}, {2, 2}, {4, 5}. The game ends after seven unique rolls and a duplicate {4, 5}. This is a push, so any bets on the shooter would be returned for a profit of zero.

References[edit]

  1. 1.0 1.1 Dibattista, Laurie (1998-07-09). "Playing to win: Entrepreneur bets on `Pyramid Dice'". Denver Business Journal. Retrieved 2021-11-08.
  2. Ravo, Nick (1988-11-12). "Long Odds on New Games for Bettors". New York Times. Retrieved 2021-11-08.
  3. Bollman, Mark (2020). Mathematics of Casino Carnival Games. New York: CRC Press. ISBN 9780367348656. Search this book on


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