RU2216373C2 - Method for playing roulette - Google Patents

Abstract

FIELD: table games, preferably in casinos. SUBSTANCE: method involves staking by using new stake receiving unit; drawing and paying winning stakes in accordance with predetermined winning coefficients upon completion of drawing by means of drawing unit; using drawing result determining unit, winning or losing detecting unit, and payment sum counting unit for counting of stake payment sum. Winning or losing by each received stake is detected in drawing result determining unit, with following supplying of signal from drawing result determining unit through main busbar to winning or losing detecting unit. Payment value for each winning stake is counted in payment sum counting unit and signal is supplied through buffer memory to display unit. Information delivered by display unit notifies players about drawing result and payment value for winning stakes. Winnings are paid through casino cash register. EFFECT: increased interest in game by introducing novel stake kind, such as first and second stakes for two numbers and color and third stake only for color. 3 cl, 1 dwg, 2 tbl

Description

 The invention relates to methods of collective games, in particular to a game of roulette.

 The game of roulette is one of the oldest games known and widely practiced so far in casinos in many countries of the world.

 Roulette table consists of a wheel and a playing field. The roulette wheel consists of two main parts: external and internal.

 The outer part in English is called "bowl", which in translation into Russian means "cup". In it, the ball starts and moves in a circular motion.

 The inside is called the "wheel." It consists of numbered pockets for falling and stopping (fixing) the ball.

 In general, the game of roulette is a single indivisible process, which includes three main stages (segment) of the game: making bets to the croupier's team: “there are no more bets”, a draw (making a “spin” from the moment the ball is launched) and the final stage is the payment of winnings in accordance with the rules of payments at winning bets.

 Currently, the "American" roulette wheel is known, containing 38 numbered pockets, alternately colored in red and black. At the same time, numbers from 1 to 36 are randomly placed on the roulette wheel, to which are added 0 and 00 (painted in green), also taking part in the game, that is, 38 numbers take part in the game. For all bets and their combinations, the preponderance of the casino in front of the player in the game with the "American" wheel is 2/38, which is approximately 5.26%.

 The roulette wheel, which is used in this game in Europe and Russia, is called the "French" wheel. It contains 37 numbered pockets - 36 numbers from 1 to 36, alternately colored in red and black, and the number 0 (colored in green), but number 00 is missing. The sequence of numbers located on the "French" wheel is also chaotic and differs from the sequence of numbers on the "American" wheel.

 The preponderance of the casino in front of the player is different than in the game with the "American" wheel, which is due to the lack of number 00, and is equal to 1/37, which is approximately 2.7%.

 There is a known method of playing roulette, in which the player makes bets with chips of a given color by placing them accordingly on the playing field before the croupier's team to stop accepting bets, the croupier starts the rally (carries out a “spin”) and after the rally is over, those. the ball will fall into one of the pockets, the losing bets will be removed from the field, and the winning bets will be paid for the winnings, after which the player can again place bets on the playing field for the next draw.

 Consider the concept of "bets" for a known way of playing roulette.

 A bet is a player’s order for a certain variant of the result of a raffle, while the bet is considered to have won if the actual result of the raffle coincided with the ordered variant. A bet is made by placing one or several chips on the relevant area of the betting field of the playing field of the table.

 In the famous roulette game there are several types of bets.

 - A bet in the number - this means that the player orders the loss of the ordered number as a result of the draw, and the chip is placed directly on the desired number on the playing field of the table. In this case, the gain is 35: 1, i.e. for each chip placed, the player is paid 35 of the same chips.

 - A bet in two adjacent numbers - this means that the player orders as a result of the drawing a loss of at least one of the two ordered numbers, and the chip is placed between two adjacent numbers. The gain is 17: 1, i.e. in the event of a loss of one of these numbers, the casino pays the player 17 chips for each chip put by the player.

 - A bet in three numbers (street) - this means that the player orders as a result of the draw the loss of at least one of the three ordered numbers, and the chip closes three numbers. The gain in this case is 11: 1.

 - A bet in four numbers - this means that the player orders as a result of the draw the loss of at least one of the four ordered numbers, and the chip is located at the intersection of horizontal and vertical lines in the center of the block of four numbers. The gain in this case is 8: 1.

 - A bet on six numbers - this means that the player orders as a result of the draw the loss of at least one of the six ordered numbers, and the chip is located on the horizontal line of the playing field. The gain is 5: 1.

 - Bet on dozens and on columns of numbers - this means that the player orders as a result of the draw at least one of the twelve ordered numbers, and the chip is placed on one of three dozens: from 1 to 12, from 13 to 24, from 25 to 36. The gain is 2: 1.

 - The bet in the game on the color - this means that the player orders as a result of the draw the loss of the ordered color, and the chip is placed either on black or on red. The numbers in red on the playing field and on the roulette wheel are exactly 18, the same number of blacks. The gain is 1: 1.

 - The bet when playing the game is “odd” or “odd” - this means that the player orders as a result of the draw an even or odd number, respectively, with the chip either on “EVEN” or “ODD”. The gain is 1: 1. If the ball hits 0, then the bet on “odd” or “odd” loses.

 - The bet when playing the game is large and small numbers - this means that the player orders as a result of the draw a loss from the range 1-18 or 19-36, respectively, and the chip is either on the field 1 to 18 (small numbers), or on the field 19 to 36 (large numbers). The gain is 1: 1. If the ball hits 0, then the bet loses.

 The player is allowed to use various types of bets described above during one “spin”.

 Thus, the known method of playing roulette involves making bets described above, a lottery, which is a single “spin”, and payment at winning bets with winning odds corresponding to the bets described above (1).

 The main feature of a well-known roulette game with any kind of wheel is the fact that the mathematical expectation of a casino advantage in front of a player is a constant for any of the bets or combinations thereof described above, due to the above payout ratios for winning bets.

 The disadvantages of this method of playing roulette are, firstly, the relatively low mathematical expectation of a preponderance of the casino in front of the player, which leads to the need for a relatively large number of raffles to receive the expected income of the casino.

 In addition, in the known method of playing roulette, there is a relatively low value of the maximum winnings from one separate bet, which is due to the value of the maximum payout coefficient equal to 35. This, as a result, leads to a relatively small number of people wishing to place bets, which, in their this, in turn, leads to the need for a relatively large number of raffles to receive the casino's expected income.

 The objective of the invention is the creation of such a method and device for implementing a game of roulette, which would increase the mathematical expectation of a preponderance of the casino before the player and at the same time increase interest in it from the players.

 The technical result of the claimed invention consists in increasing the visibility and objectivity of all current information displayed on the corresponding screen during the game, as well as in increasing the casino income per unit time from the implementation of the proposed method of playing roulette by simultaneously increasing the mathematical expectation of the casino's advantage over the player and increasing the interest of players in participating in this game.

 The essence of the invention lies in the fact that the method of conducting a game of roulette, which consists in the fact that they make certain bets, carry out the drawing process and pay at the winning rates in accordance with certain winning odds after the end of the drawing, characterized in that the betting process is carried out using the unit for accepting new bets, the drawing process and payment of winning bets in accordance with certain winning odds after the end of the drawing are carried out respectively from using the power of the draw block, the block to set the result of the draw, the block to establish the fact of winning or losing, and the block for calculating the payout amount for the bet, using a new type of bet - the first and second bets on two numbers and the color and the third bet only on color, with the first bet carried out by entering into the block receiving new rates data in the form of two numbers in the specified order of their loss and color before the command to stop accepting rates, the second rate is carried out by entering into the block receiving new rates data in the form of two numbers in random order of their occurrence and color before the command to stop accepting bets, and the third bet is made by entering the data in the form of the selected color into the block for receiving new bets to the command to stop accepting bets, which is received from the operator through the block for sending the command to finish accepting bets on each player’s manual set blocks, while each player can enter one, two or three of the above bets in any combination into the block for accepting new bets through his manual set block, after which, at the end of the rally, in the mouth block The results of the drawing of the drawing determine the fact of winning or losing for each accepted bet by sending a signal from the installation block of the drawing result via the bus to the installation of the fact of winning or losing, after which the payout amount for each winning bet is calculated in the block for calculating the payout amount for the bet and through the buffer memory block sends a signal to the display block, information from which notifies the players about the result of the draw and the amount of payment at their winning bets, after which o pay the indicated winnings through the casino cash desk.

 In addition, the method also differs in that either the “French” or the “American” roulette wheel is used as a block for the drawing.

Also, the claimed method is characterized in that the calculation and payment of the winning bets is carried out using win odds, which for the first bet can take three values: K ₁ , K ₂ , K ₃ , the value of which is greater than zero, while K ₃ = K ₁ + K ₂ , and K ₁ and K ₂ are connected by the ratio K ₁ <323.76 - 1008 K ₂ , for the second bet there can take three values: K ₁ , K ₂ , K ₃ , the value of which is greater than zero, while K ₃ = K ₁ + K ₂ , and K ₁ and K ₂ are connected by the ratio K ₁ <161.74-504 K ₂ , and for the third bet it takes the value K, where 0 <K <0.32.

 The claimed method is carried out using the computerized system shown in Fig.1.

 The identifiers used to describe the blocks shown in FIG. 1 are presented in table. 1.

 A brief description of the functional purpose of the device blocks in figure 1 are given in table. 2.

The computerized system of FIG. 1 comprises a lottery block 1 connected by a bus, which consists of two game wheels or roulette wheels, a block for receiving new bets 2, a buffer memory unit 3, a block for setting a result of a lottery 4, a block for setting the fact of winning or losing a bet 5 and a unit for calculating the amount of payment of bets 6. The system also contains a block for submitting a command for ending bets 7, blocks for manually setting bets 8 ₁ .... 8 _N , a display unit 9, and a casino cash desk 10. Moreover, manually blocking one input of blocks of the first set of bets 8 ₁ .... 8 _N signals from users (players) 1 .... _N are received, and the other input of the blocks of manual set bets is 8 ₁ . ... 8 _{N is} connected to the output of the block for sending the command to end bets 7, the input of which receives a command from the operator (croupier), the command from the operator (croupier) is also input to the block for drawing 1, and the output of the buffer memory 3 is connected to the input of the display unit 9, the output of the unit for calculating the payout amount for bets 6 is connected to the entrance of the casino cash desk 10, which is a cash terminal, from the output of which the calculation is performed with users (players) 1 .... N. At the same time, the display unit 9 is a monitor or display, the manual dialing units of the bet 8 ₁ .... 8 _N are a regular keyboard from a standard computer set. The block for receiving new bets 2, the block for setting the result of a draw 4, the block for setting the fact of winning or losing a bet 5, the block for calculating the payout amount for bets 6, and the block for submitting the command for ending bets 7 are essentially traditional buffer memory blocks, the synthesis of which is based primary elements AND, OR, NOT, AND-OR, AND-NOT according to the known laws of Boolean algebra or logic algebra.

 The operation of the device is as follows.

The croupier draws with the help of the draw block 1, which is two gaming roulette wheels. On the croupier’s command about the start of accepting bets for this draw, players 1 .... N carry out the production of new bets by sending signals corresponding to the bets made to the block for receiving new bets 2 using the corresponding (own) block for manual betting 8 ₁ .... 8 _N and finish betting on the croupier’s respective cessation team. When giving a command to stop accepting bets, the dealer blocks the blocks of manual betting 8 ₁ ... 8 _{N of} each player 1.. . . N by supplying each of them with a corresponding signal through the command submission unit for ending bets 7. At the end of the rally, the result of the rally is determined in the block for setting the result of rally 4 by applying a signal to it from the block for accepting new bets 2. With this result all the players made are compared bets by signaling via the bus 11 from the block for receiving new bets 2 and the block for setting the result of the draw 4 to the block for setting the fact of winning or losing a bet 5, where the fact of her loss or gain is poured. In case of a win, a payout type of K ₁ , K ₂ or K _{3 is also established} . Further, in the block for calculating the payout amount for bets 6, the absolute value of the payout amount for each winning bet is determined by sending a signal to it through the bus 11 from the unit for setting the fact of winning or losing bet 5 and through the display unit 9, the players are informed about the result of the rally and the amount of payment according to their winning bets, after which they can receive their winnings at the casino cash desk 10. All current information is displayed on the display unit 9 by supplying signals from the buffer memory unit 3 to it which is connected through the main bus 11 to the lottery block 1, the block for receiving new bets 2, the block for setting the result of the lottery 4, the block for setting the fact of winning or losing a bet 5 and the block for calculating the payout amount for bets 6.

 The implementation of the blocks of the above device is carried out using software and hardware, the interface between which is implemented through the bus 11.

 Implementation of the claimed method is as follows.

 The claimed method includes setting all three main stages of the game in a new fashion: betting, the process of drawing and payment of winning bets with winning odds corresponding to each individual type of bet indicated below in the inventive method of conducting a roulette game.

 As a drawing process, the claimed method accepts the drawing of two consecutive "spins": the current and the subsequent when using one roulette wheel for a draw ("sequential" drawing) or the simultaneous holding of two "spins" on two roulette wheels ("parallel" drawing) .

 In the proposed method of playing roulette, the following types are accepted as bets and corresponding payout ratios for them.

 1. A bet on two numbers and a color (“color deterministic pair”) - this means that the player is betting on two independent events, the occurrence of at least one of which, as a result of a draw, leads to a win on the bet.

 The first independent event is a loss as a result of a draw of two numbers ordered by a player in the ordered order of their loss (in the case of a "sequential" drawing) or a loss as a result of a drawing of two numbers ordered by a player on the corresponding roulette wheels (in the case of a "parallel" drawing).

 The second independent event is a loss as a result of a draw regardless of the type of draw of the ordered color at least once.

 The criterion for winning at this rate in the claimed invention is the fact of the occurrence of at least one of the two above-mentioned independent events as a result of a rally, while the probability of each of the two independent events occurring is different from each other.

 The criterion for losing a bet is non-occurrence as a result of a draw of either of the two above-mentioned independent events.

Win rate
at this rate in the proposed method of the game can take three different values, respectively, in the following three cases:
- when only one occurs - the first independent event - the gain is K ₁ : 1,
- when only one - the second independent event occurs - the gain is K ₂ : 1,
- when both independent events occur during the rally, simultaneously the gain is K ₃ : 1, where K ₃ = K ₁ + K ₂ , where K ₁ and K ₂ are selected from the ratio:
K ₁ <323.76-1008 K ₂ (1)
Calculation of the mathematical expectation of a preponderance of a casino in front of a player for a "color deterministic pair" bet.

 We will carry out the calculation when using the "French" wheel in the game.

The probability of the first independent event is:
P _{and 2} = 1/37 x 1/37 = 1/1369 (2)
The probability of a second independent event is:
P _{and 2} = 1-19 / 37 x 19/37 = 1-361 / 1369 = 1008/1369 (3)
Accordingly, the probability of winning a casino will be:
P _k = (1-P _{and 1} ) x (1-P _{and 2} ) ~ 0.2635 (4)
Then the mathematical expectation (M.O.) of the preponderance of the casino in front of the player is obtained in the form:
M.O. = P _to x1- (P _{and 1} xK ₁ + P _{and 2} xK ₂ -P _{and 1} xP _{and 2} x (K ₁ + K ₂ )), (5)
We show that M. O. for this type of rate is always greater than the value of 2.7%, i.e. M.O. > 2.7% (6)
We substitute M.O. into inequality (6). from equation (5), then we get:
P _k x1- (P _u1 xK ₁ + P _u2 xK ₂ -P _u1 xP _u2 x (K ₁ + K ₂ ))> 0.027 (7)
Solving inequality (7), we obtain an inequality connecting the payoff coefficients K ₁ and K ₂ :
K ₁ <323.76-1008 K ₂ (8)
Inequality (8) is identical to inequality (1), as required.

 Method for producing a bet "color deterministic pair."

 This bet is made by the player ordering two numbers in the specified order and color until the croupier commands to stop accepting bets.

 2. Bet "color soft pair" - this means that the player is betting on two independent events, the occurrence of at least one of which, as a result of a rally, leads to winning the bet.

 The first event is a loss as a result of a draw (for any type of draw: a "sequential" draw or a "parallel" draw) of two numbers ordered by the player in any order they occur.

 The second event is a loss as a result of the drawing (for any type of drawing: "sequential" drawing or "parallel" drawing) the ordered color at least once.

 The criterion for winning at this rate in the claimed invention is the fact of the occurrence of at least one of the two above-mentioned independent events as a result of a rally, while the probability of each of the two independent events occurring is different from each other.

 The criterion for losing a bet is non-occurrence as a result of a draw of either of the two above-mentioned independent events.

The winning coefficient at this rate in the proposed method of the game can take three different values, respectively, in the following three cases:
- when only one occurs - the first independent event - the gain is K ₁ : 1,
- upon the occurrence of only one - the second independent event - the gain is K ₂ : 1,
- when both independent events occur during the rally, simultaneously the gain is K ₃ : 1, where K ₃ = K ₁ + K ₂ , while K ₁ and K ₂ are selected from the ratio:
K ₁ <161.74-504 K ₂ (9)
Calculation of the mathematical expectation of a preponderance of a casino in front of a player for a “color soft pair” bet.

 We will carry out the calculation when using the "French" wheel in the game.

The probability of the first independent event is:
P _and 1 = 1/1369 + 1/1369 = 2/1369 (10)
The probability of a second independent event is:
P _{and 2} = 1-19 / 37x19 / 37 = 1-361 / 1369 = 1008/1369 (11)
Accordingly, the probability of winning a casino will be:
P _to = (1-P _{and 1} ) (1-P _{and 2} ) = (1367/1369) (361/1369) = 0.2633 (12)
Then the mathematical expectation of M.O. the advantage of the casino before the player is obtained in the form:
M.O. = P _to x1- (P _{and 1} xK ₁ + P _{and 2} xK ₂ -P _{and 1} xP _{and 2} x (K ₁ + K ₂ )) (13)
We show that M.O. always greater than 2.7%, i.e. M.O. > 2.7% (14)
Substituting the value of M.O. from equation (13) to inequality (14), we obtain an expression of the form:
P _to x1- (P _{and 1} xK ₁ + P _{and 2} xK ₂ -P _{and 1} xP _{and 2} x (K ₁ + K ₂ ))> 0,027 (15)
Solving inequality (15), we obtain an inequality connecting the payoff coefficients K ₁ and K ₂ :
K ₁ <161.74-504 K ₂ (16)
Inequality (16) is identical to inequality (9), as required.

 The production method of the bet is "color soft pair".

 This bet is made by the player ordering two numbers and colors before the dealer to stop accepting bets.

 3. Bet on color ("preferential color") - this means that the player is betting on an event consisting in the fact that at least once in the process of drawing the ordered color will fall out. In this case, the bet wins.

The payout ratio is K: 1, where K <0.32 (17)
Calculation of the mathematical expectation of a preponderance of a casino in front of a player at the "preferential color" rate.

 We will carry out the calculation when using the "French" wheel in the game.

The probability of winning the player P _and equals:
P _and = 1- (19/37) x (19/37) = 1-361 / 1369 = 1008/1369 (18)
Accordingly, the probability of winning a casino P _k is:
P _k = 1-P _and = 1- (1-361 / 1369) = 361/1369 (19)
Then we get the mathematical expectation of M.O. the advantage of the casino before the player in the form of:
MO = P _to x1-P _and xK (20)
We show that M.O. always greater than 2.7%, i.e. M.O. > 2.7% (21)
We substitute M.O. into inequality (21). from equation (20) and solving it with respect to the coefficient K, we obtain the following inequality:
K <324.037 / 1008 = 0.3214 (22)
Since the coefficient "K" according to (17) is less than 0.32, therefore, based on expression (22), the mathematical expectation of a preponderance of the casino will be more than 2.7%.

Preferential color bet production method
This bet is made by ordering the player of the selected color to the croupier to stop accepting bets.

 The player is allowed to use various types of bets described above for this method during the draw.

 A specific example of the implementation of the game of roulette when setting certain values of the payout ratios for all types of bets.

 1. Bet "color deterministic pair."

We set the values of the coefficients K ₁ and K ₂ in accordance with condition (8):
K ₁ <323.76-1008 K ₂ , i.e. K ₁ = 200, K ₂ = 0.1
We verify the validity of inequality (8), substituting the given numerical values into it, then we obtain:
200 <323.76-100.8, subtracting, we get:
200 <222.96, which is true.

Define the mathematical expectation of a preponderance of a casino in front of a player:
MO = R _to X1- (P _{u1 u2} P x200 + h0,1) ~ 0,2635- (200/1369 + (1008h0,1) / 1369) = 0.0437 or 4.37%.

 Thus, M.O. the advantage of the casino before the player in the claimed method of playing roulette when using the "French" wheel is greater than in the known method of playing with the same wheel (in the known method M.O. is 2.7%).

 2. Bet "color soft pair".

We set the values of the coefficients K ₁ and K ₂ in accordance with condition (16)
K ₁ <161.74-504 K ₂ , i.e. K ₁ = 100; K ₂ = 0.1
Find the value of M.O. the preponderance of the casino in front of the player at the given values of K ₁ and K ₂
MO = R _to X1- (P x100 _{u1 u2} h0,1 + P) = 0,2633- (200/1369 + 100.8 / 1369) or 0.0435 ~ 4.35%. Thus, M.O. the advantage of the casino before the player in the claimed method of playing roulette when using the "French" wheel is greater than in the known method of playing with the same wheel (in the known method M.O. is 2.7%).

 3. Bet "preferential color."

 We set the value of the coefficient K from condition (17): K <0.32, i.e. K = 0.3.

 Find the value of M.O. the advantage of the casino in front of the player for a given value of the coefficient K.

M.O. = P _to x1-P _and xK = 361 / 1369- (1008x0.3) / 1369 ~ 0.0428 or 4.28%.

 Thus, M.O. the advantage of the casino before the player in the claimed method of playing roulette when using the "French" wheel is greater than in the known method of playing with the same wheel (in the known method M.O. is 2.7%).

Claims (3)

 1. The method of conducting the roulette game, which consists in the fact that they make certain bets, carry out the drawing process and pay at the winning rates in accordance with certain winning odds after the end of the drawing, characterized in that the betting process is carried out using the block for accepting new bets, the drawing process and payment according to the winning bets in accordance with the determined win ratios after the drawing is completed, respectively, using the drawing block , a unit for setting the result of a rally, a unit for setting the fact of winning or losing, and a unit for calculating the amount of payment for a bet, using a new type of bet - the first and second bets for two numbers and the color and the third bet only for color, and the first bet is carried out by entering a unit for receiving new data bets in the form of two numbers in a predetermined order of their loss and color until the command to stop accepting bets, the second rate is carried out by entering in a block of receiving new bets of data in the form of two numbers in an arbitrary order colors and colors before the command to stop accepting bets, and the third bet is made by entering the data in the form of the selected color into the block for receiving new bets, before the command to stop accepting bets, which is received from the operator through the block for submitting the command to finish accepting bets to each player’s hand-set blocks , in this case, each player can enter one, two or three of the above bets in any combination into the block for accepting new bets through his manual set block, after which, after the end of the draw, in the block for setting the result of the draw, setting the fact of winning or losing at each accepted bet is poured by sending a signal from the block for setting the result of the draw through the bus to the block for setting the fact of winning or losing, after which, in the block for calculating the payout amount for the bet, the payout is calculated for each winning bet and through the buffer memory unit send a signal to the display unit, with the information from which they inform the players about the results of the draw and the amount of payment for their winning bets, and then pay through the casino cashier’s those indicated winnings.  2. The method according to p. 1, characterized in that either the "French" or the "American" roulette wheel is used as a block for the drawing. 3. The method according to p. 1 or 2, characterized in that the calculation and payment of the winning bets is carried out using the win ratios, which for the first bet can take three values: K ₁ , K ₂ , K ₃ , the value of which is greater than zero, at this K ₃ = K ₁ + K ₂ , and K ₁ and K ₂ are connected by the ratio K ₁ <323,76-1008K ₂ , for the second rate can take three values: K ₁ , K ₂ , K ₃ , the value of which is greater than zero, while K ₃ = K ₁ + K ₂ , and K ₁ and K ₂ are connected by the relation K ₁ <161.74-504K ₂ , and for the third bet it takes the value K, where 0 <K <0.32.

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