Gambling Wheel

  1. Gambling Wheel
  2. Gambling Wheel Parts

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Introduction

The Money Wheel was launched at the Jackpot Casino in Red Deer, Alberta, in June 2011. It is a variation of Big Six, which is the game with the large vertical wheel, usually found near the entrance of casinos and usually dealt by an attractive female dealer. What makes the Money Wheel different is 56 stops instead of 54, and some of them are multipliers. The house edge is also much lower than Big Six, as my analysis below will show.

Gambling

Rules

  1. The player may bet on $1, $2, $5, $10, $20, or $40.
  2. All bets are paid on a to one basis according to the odds of the bet itself. For example, a bet on $5 would pay 5 to 1.
  3. Four positions on the wheel will multiply any win, known as a Lucky Lucky. Two Lucky Lucky spots multiply the next win by 2x, one 3x, and one 5x. If Lucky Lucky sounds familiar, it is because Lucky Lucky is also a blackjack side bet, both invented by the owner of the Jackpot Casino.
  4. If the wheel stops in any Lucky Lucky, then all bets will remain in place. No new bets will be allowed. The outcome of the next spin will determine the winning wager, as usual, but the odds will be multiplied by 2, 3, or 5, depending on which Lucky Lucky the wheel stopped in the previous spin.
  5. In the event the wheel stops in a Lucky Lucky twice in a row, then all wagers will lose.
  6. The following table shows how the wheel is apportioned.

Let's look at an example. The player bet $20 on the $5 spot. The wheel lands in the 3x Lucky Lucky. The next spin it lands in $5. The player would win $20×$5×3=$300.

Money Wheel Distribution

StopNumber on Wheel
$123
$215
$57
$104
$202
$401
2x Multiplier2
3x Multiplier1
5x Multiplier1

Analysis

The following table shows the possible outcomes for the $1 bet. The lower right cell shows a house edge of 6.12%.

$1 Bet Analysis

EventPaysCombinationsProbabilityReturn
5x Lucky Lucky win5230.0073340.036671
3x Lucky Lucky win3230.0073340.022003
2x Lucky Lucky win2460.0146680.029337
Standard win112880.4107140.410714
Loss-117560.559949-0.559949
Total31361.000000-0.061224

The following table shows the possible outcomes for the $2 bet. The lower right cell shows a house edge of 6.25%.

$2 Bet Analysis

EventPaysCombinationsProbabilityReturn
5x Lucky Lucky win10150.0047830.047832
3x Lucky Lucky win6150.0047830.028699
2x Lucky Lucky win4300.0095660.038265
Standard win28400.2678570.535714
Loss-122360.713010-0.713010
Total31361.000000-0.062500

The following table shows the possible outcomes for the $5 bet. The lower right cell shows a house edge of 10.71%.

$5 Bet Analysis

EventPaysCombinationsProbabilityReturn
5x Lucky Lucky win2570.0022320.055804
3x Lucky Lucky win1570.0022320.033482
2x Lucky Lucky win10140.0044640.044643
Standard win53920.1250000.625000
Loss-127160.866071-0.866071
Total31361.000000-0.107143

The following table shows the possible outcomes for the $10 bet. The lower right cell shows a house edge of 5.61%.

$10 Bet Analysis

EventPaysCombinationsProbabilityReturn
5x Lucky Lucky win5040.0012760.063776
3x Lucky Lucky win3040.0012760.038265
2x Lucky Lucky win2080.0025510.051020
Standard win102240.0714290.714286
Loss-128960.923469-0.923469
Total31361.000000-0.056122

The following table shows the possible outcomes for the $20 bet. The lower right cell shows a house edge of 9.44%.

$20 Bet Analysis

EventPaysCombinationsProbabilityReturn
5x Lucky Lucky win10020.0006380.063776
3x Lucky Lucky win6020.0006380.038265
2x Lucky Lucky win4040.0012760.051020
Standard win201120.0357140.714286
Loss-130160.961735-0.961735
Total31361.000000-0.094388

The following table shows the possible outcomes for the $40 bet. The lower right cell shows a house edge of 11.35%.

$40 Bet Analysis

EventPaysCombinationsProbabilityReturn
5x Lucky Lucky win20010.0003190.063776
3x Lucky Lucky win12010.0003190.038265
2x Lucky Lucky win8020.0006380.051020
Standard win40560.0178570.714286
Loss-130760.980867-0.980867
Total31361.000000-0.113520

Strategy

The lowest house edge is on the $10 at 5.61%. My advice is to bet on that only.

Comparison to Big Six

The following table compares the Money Wheel to four versions of Big Six, also known as the Wheel of Fortune. As you can see, the average house edge is much lower on the Money Wheel compared to American Big Six. You would have to go to Australia to get a better average bet on a vertical wheel. The best single bet anywhere, including Australia, is the $10 at 5.61% house edge on the Money Wheel.

Money Wheel to Big Six Comparison

BetMoney WheelBig Six
Las Vegas
Big Six
Atlantic City
MacauAustralia
$16.12%11.11%11.11%7.69%7.69%
$26.25%16.67%16.67%
$37.69%7.69%
$510.71%22.22%22.22%7.69%7.69%
$105.61%18.52%18.52%15.38%
$117.69%
$209.44%22.22%22.22%19.23%
$237.69%
$4011.35%24.07%
$4514.81%11.54%
$477.69%
Average8.25%19.14%17.59%11.54%7.69%

Written by: Michael Shackleford
A Big Six wheel at Del Lago Resort and Casino

The Big Six wheel, also known simply as The Big Six or Wheel of Fortune, is an unequal game of chance, played using a large vertical wheel that can be spun.

Since 13 May 2002, it can be played legally in licensed casinos in the United Kingdom, under The Gaming Clubs (Bankers' Games) (Amendment) Regulations 2002 (Statutory Instrument 2002/1130).

The game is also known in casinos in the United States.

Rules[edit]

The wheel is divided into a number of equal segments separated by spokes or pins. Each segment is associated with a number. The wheel is spun by a dealer, and the winning segment is indicated by a pointer mounted on a flexible piece of rubber or leather, which also rubs against the pins to impart friction and slow the wheel down. Should the player stop the wheel, the segment at the top is the winner.

Variants[edit]

There are a number of variants of the game, that divide the wheel into a different number of segments, use different symbols in the segments, and have different odds if a symbol is selected.

Money wheel[edit]

This variant is the most common in casinos in the United States. The symbols are $1, $2, $5, $10 and $20 bills — and two special symbols, a joker and the casino logo. The $1 bills pay at odds of 1 to 1, the $2 bills at 2 to 1, the $5 bills at 5 to 1, and so on. The joker and the logo pay at odds of 40 to 1 or 45 to 1, depending on local gaming regulations or the practice of the casino.

The house advantage or edge (the proportion of the stakes that the casino expects to win on average) of this game is one of the highest of most casino games. In the United States it ranges from 11.1% on the $1-bill bet to more than 24% on the joker or logo (when it pays at 40 to 1). In Australia the house edge is 7.69% on all bets, so that the payouts on a 52-segment wheel are 47:1, 23:1, 11:1, 5:1, 3:1 and 1:1.

Dice wheel[edit]

An example of the 'dice wheel' variant produced by H. C. Evans & Co. of Chicago

The symbols on the wheel represent some of the 216 possible combinations of three dice. Sometimes the same combination appears in more than one segment. Players wager on the numbers 1 through 6. If the number appears on one of the dice in the winning segment, the dealer pays at 1 to 1; on two of the dice, 2 to 1; on all three of the dice, 3 to 1.

One example of a dice wheel, manufactured by H. C. Evans & Co. of Chicago (or its successor), is divided into 54 segments. Each of the triples appears four times. The following doubles each appear four times: 2, 1, 1; 2, 2, 1; 4, 3, 3; 5, 4, 4; 6, 5, 5; and 6, 6, 3. The following combinations each appear three times: 3, 2, 1; and 6, 5, 4.

In the example above, there are 54 possible outcomes for a single spin of the wheel. For a specific number:

  • There are 7 possible outcomes where only one die will match the number
  • There are 4 possible outcomes where only two dice will match
  • There are 4 possible outcomes where all three dice will match

At odds of 1 to 1, 2 to 1 and 3 to 1 respectively for each of these types of outcome, the expected loss as a percentage of the stake wagered is:

Gambling Wheel

1 - [(7/54) * 2 + (4/54) * 3 + (4/54) * 4] = 22.2%

The symbolism of the game is redolent of chuck-a-luck or sic bo, games of chance played with three dice. However, the house advantage or edge is greater than for chuck-a-luck, which itself has a higher house advantage than other casino games.

This variety is seldom seen in casinos, but frequently seen as a carnival game, or at a charity 'Monte Carlo night' fund-raiser. A similar game, the 'Big Nine' wheel, has five numbers on each segment, and also three special symbols, appearing on three spaces each, which pay 10:1 odds.

United Kingdom, Australia and New Zealand[edit]

A legal game in a licensed casino in the United Kingdom, Australia or New Zealand involves a wheel at least 1.5 metres in diameter divided into 52 segments, each marked with one of seven symbols (referred to as A to G). The table below sets out the frequency of the symbols, their probability, the associated odds specified, and the house advantage or edge.

SymbolNumber of segmentsProbability of winningOdds offered in UKHouse edge in UKOdds offered in AUS & NZHouse edge in AUS & NZ
A1 out of 521.9%50 to 11.9%47 to 17.7%
B1 out of 521.9%50 to 11.9%47 to 17.7%
C2 out of 523.9%20 to 119.2%23 to 17.7%
D4 out of 527.7%10 to 115.4%11 to 17.7%
E8 out of 5215.4%5 to 17.7%5 to 17.7%
F12 out of 5223.1%3 to 17.7%3 to 17.7%
G24 out of 5246.2%1 to 17.7%1 to 17.7%

Other variants[edit]

Other variants, using different symbols and odds, are relatively rare in the United States.

One variant called 'Mississippi Derby' was used for a short time at the Grand Casino in Gulfport, Mississippi. (The casino was destroyed in 2005 by Hurricane Katrina.) The symbols were combinations of three of a number of different horses, arranged to represent a winner, a second-placed horse and a third-placed horse. (The horses were represented in three concentric rings, with the winner on the outer ring.) Players wagered on particular horses to 'win', 'place' or 'show', as with betting in horse racing. The payoffs varied from horse to horse, depending on how many times and where the horse appeared on the rings. Odds ranged from 40 to 1 for the 'longshot' to win, down to 1-2 for the 'favorite' to show.

References[edit]

Regulation in the United Kingdom

Regulation in New Zealand

External links[edit]

Gambling Wheel Parts

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