A Roulette Wheel Has 38 Slots

A Roulette Wheel Has 38 Slots Rating: 3,9/5 9138 reviews

Finding the probability of winning at roulette

8/11/2018

Intro

Howdy! I'm Professor Curtis of Aspire Mountain Academy here with more statistics homework help. Today we're going to learn how to find the probability of winning at roulette. Here's our problem statement: A modified roulette wheel has 36 slots. One slot is 0, another is 00, and the others are numbered 1 through 34, respectively. You are placing a bet that the outcome is an odd number in roulette (0 and 00 are neither odd nor even).

Part 1

OK, the first part of this problem asks for our probability of winning. And to do that, we're going to calculate probability the way we always calculate probability, which is the part over the whole. Well, what's the part? The part is the number of slots that are actually odd, because that's the outcome that we're looking for — how many odd numbers do we have here?
Well, 0 and 00 are not odd, and so we have to look through 1 through 34. Half of those will be odd, and half will be even, so if I take my calculator here and divide 34 by 2, I get 17. So this is the number of odd slots that we have. So here in my answer field, I will set up a fraction. In the top part of the fraction, I put the part; it's the number of odd slots on the wheel.
And then on the bottom of my fraction, I put the total number of slots; this is the whole part, the whole set. So that's gonna be 36. Well done!

Part 2

Now the second part asks for the actual odds against winning. OK, here we have the odds against winning, which means we're going to calculate this as a fraction, although here it's listed in ratio form. And this first number, which would be the number on top of our fraction, will be the part that's against winning, the part that corresponds with losing. And then on the bottom of the fraction, which corresponds with the second number, that's going to be the part for the winning.
Well, we know what that is; that's going to be the 17. What's the part for the losing? Well, I'm just going to subtract the 17 from the total 36, and that gives me the part that's losing, because you either lose or you're win. So this first part here is going to be 19, and the second part is going to be 17. Well done!

Part 3

Now, the third part asks for how much profit we make if the payoff odds are one to one and we bet $10 and win. Well, if we win, we're gonna get the $10 back that we bet plus an additional payoff according to the payoff odds, which here is one to one. That means for every $1 we bet, we get $1 of payoff. So if you bet $10, your payoff is gonna be $10. Well done!

Part 4

Now the last part of the problem asks us the same question but with the caveat that we've somehow convinced the casino to change the payoff odds so that their the same as the actual odds against winning. Well, the odds against winning are right here — 19 to 17. So what we do is we actually convert this to a fraction. We can actually then multiply that by the amount of our bet, and that gives us the amount of our payoff.
That's essentially what we were doing up here in this third part. We took the bet, which is 10, we multiplied it by 1 over 1 — and 1 over 1 is 1, and so anything times 1 is itself — and so the numbers came out the same. Here we're gonna do the same thing, only we're gonna use a different number than 1. So I've got 19 divided by 17. So now I take that and multiply it by my bet, and there's my payoff, which I round to the nearest cent. Good job!
And that's how we do it in Aspire Mountain Academy. Be sure to leave your comments below let us know how good the job we did or how we can improve. And if your stats teacher is boring or just doesn't want to help you learn stats, go to aspiremountainacademy.com, where you can learn more about accessing our lecture videos or provide feedback on what you'd like to see. Thanks for watching! We'll see you in the next video.

5/21/2020 03:55:24 pm

I like the way you explain, you make it so fun and understanding. Thank you
For your help .

6/5/2020 03:01:42 pm

Absolutely amazing so clear and easy. I'm so thankful for these videos!

Roulette An American roulette wheel has 38 slots with numbers 1 through 36, 0, and 00, as shown in the figure. Of the numbered slots, 18 are red, 18 are black, and 2—the 0 and 00—are green. When the wheel is spun, a metal ball is dropped onto the middle of the wheel. Question: Roulette: Beton Numbers Versus Bet On Colors A Game Of Roulette Involves Spinning A Wheel With 38 Slots. Numbers 1 Though 36,0, And 00. 2 Green, 18 Black And 18 Red A Ball Is Spun Onto The Wheel And Will Eventually Land In A Slot, Where Each Slot Has An Equal Chance Of Capturing The Ball. You Can Bet On A Number. For Example, You Bet On.

Algebra - Probability-and-statistics- SOLUTION: In American roulette the wheel has 38 numbers, 00, 0, 1, 2, 34, 35, and 36, marked on equally spaced slots. If a player bets $1 on a number and wins, then the player keeps th Log On.

Game Objective:

Luck O’ The Roulette is a fixed odds betting game based on roulette. The Roulette wheel has 38 numbered slots (0 to 36 and a Pot bet), each of which can be bet on. The wheel is spun in one direction and a ball is spun in the wheel in the opposite direction. The ball will land in one of the numbered slots or in the pot bet slot. If you bet on the slot the ball has landed in, you will win a payout.

How to Play:

There are two tables and the wheel:
- The Betting Table, where bets can be placed.
- The Neighbors Table, where Neighbors bets can be placed. (The Neighbors table can be accessed by clicking the small picture of it above the Main game window, and the Betting Table can be accessed by clicking the small picture of it above the Main game window.)
- The Roulette wheel.
The different chip values that can be used to place bets appear in the chip tray. Click a chip in the chip tray to select it.
- The chip tray appears to the left of the currently selected table.
To place a bet, click the desired chip value and then click on the number or numbers you would like to bet on. The chosen number(s) will be highlighted until you release your mouse cursor. The chip tray is scrollable.
- There are many different types of bets in Roulette, including bets placed on multiple numbers with a single chip. All bets are listed in the BET TYPES AND PAYTABLE section below.
If you wish to place an additional bet of a different value, click a chip of a different value. When you put a mouse over on a possible bet, a pop-up with bet details will be visible.
Click UNDO to remove the last bet made from the table.
Click CLEAR BETS to remove all bets currently on the table.
Click the DOUBLE button to double all bets currently placed on the table.
The MIN, MAX and TABLE MAX are shown at the top left of Betting Table. If you click on this text a pop-up window will appear that details all the table limits.
Each position on the table has a minimum bet and a maximum bet. If you attempt to bet higher than the maximum or lower than the minimum, the bet will not be accepted and a small message will appear to inform you of this.
Information on your available game balance and total bet is shown in the bottom of the game screen.
The TABLE COVERAGE indicator shows the percentage of the Roulette wheel covered by the placed bets.
- Click the HOLD FOR AUTOPLAY/SPIN button to spin the roulette wheel with any current bets.
- After the ball has landed, a marker will be placed on the winning number from the last spin in the Betting Table view and the REBET, DOUBLE & SPIN and REBET & SPIN buttons will appear.
  - Click REBET to place the same bets as in the previous round.
  - Click DOUBLE & SPIN to double the previous bet(s) and start another game.
  - Click REBET & SPIN to place the same bet(s) as in the previous game and start another game.
The result history shows the previous game results. It is on the right of the wheel.

AutoPlay:

The AUTOPLAY mode can be used to play several games in a row with the same bet automatically.
Place a bet, then hold the HOLD FOR AUTOPLAY/SPIN button to open the Autoplay panel. The Autoplay panel has a slider which can be moved to select the number of games to be played automatically. After selecting the desired number of automatic games, click the START AUTOPLAY button to begin those games.

During the Autoplay games, the number of remaining games will be shown on the STOP AUTOPLAY button at the bottom right of the screen. Press the STOP AUTOPLAY button at any time to end the Autoplay games.
Max number of auto spins available is 90 and user has option to select the auto spins ranging from 10 to 90 by dragging the slider(10,20,30,4,50,60,70,80,90). By default 10 auto spins will be selected.

The Betting Table:

The Betting Table view allows you to make a wide range of standard bets:
- Pot Bet
- Straight up
- Split
- Street
- Corner
- Five
- Line
- Column
- Adjacent column
- 1st 12
- 2nd 12
- 3rd 12
- Adjacent twelve
- 1-18/19-36
- Red/Black
- Even/Odd
More information about the bets can be found in the BET TYPES AND PAYTABLE section below.
Once you have placed your bet, click SPIN to start the game.

The Neighbors Table:

The Neighbors Table view can be accessed by clicking Neighbors on the Betting Table view.
The Neighbors Table allows you to make several types of bets that are unavailable on the Betting Table. These special bets are:
- Tier
- Orphelins
- Voisins Du Zero

There are 5 numbered Neighbors buttons that can be selected and then click on a number on the table to bet on that number and the numbers neighboring it to the left and the right.
Clicking the Neighbors button labelled 4 and then clicking on the number 2 on the table will place bets on the number 2 and 4 numbers that are to the immediate left and 4 numbers that are to the immediate right of 2 (25, 17, 34, 6 on the left and 21, 4, 19, 15 on the right).

Clicking on Tier, Orphelins and Voisins Du Zero will place special bets, as detailed in the Paytable section below.
Once you have placed your bet, click SPIN to start the game.

The Roulette Wheel:

Clicking SPIN after making a bet will spin the ball in the Roulette wheel.
The wheel is spun in one direction and a ball is spun on the wheel in the opposite direction. The ball will land in one of the slots.
The wheel has many win multipliers: x15, x20, x25, x30, x35, x40, x45, x50, x60 and pot(x100). A multiplier is chosen at random during every spin. The multipliers apply only to Pot Bets.
If the ball lands in a slot you bet on, you will win a payout according to your bet. This win amount is added to the game balance.
The slot the ball landed in will be shown in the top-left.

Bet Types and Paytable:

Bet Type	Covers	Description	Pay out
Pot Bet	1 slot	A bet on Pot bet.	1:14/19/24/29/34/39/44/49/59/99
Straight up	1 number	A bet on a single number (including 0).	35:1
Split	2 numbers	A bet on two numbers (including 0 and Pot) next to each other on the table.	17:1 Pot Bet payout will be from 1:14/19/24/29/34/39/44/49/59/99
Street	3 numbers	A bet on a row of three numbers (e.g. 1, 2, 3). Bets placed on ‘0, 1, 2’, ‘0, 2, 3’,'Pot, 0, 2' ,' Pot, 1, 2' are also considered to be street bets.	11:1 Pot Bet payout will be from 1:14/19/24/29/34/39/44/49/59/99
Corner	4 numbers	A bet covering four numbers next to each other on the table. A bet placed on ‘0, 1, 2, 3’ is also considered to be a corner bet.	8:1
Five	5 numbers	A bet placed between the adjacent streets of 'pot bet' and '1'. This bet covers five numbers: 0, pot bet, 1, 2, and 3.	6:1 Pot Bet payout will be from 1:14/19/24/29/34/39/44/49/59/99
Line	6 numbers	A bet covering two Streets - six different numbers in two rows of three numbers (e.g. 1, 2, 3 + 4, 5, 6).	5:1
Column	12 numbers	A bet placed in one of the boxes marked ‘2 to 1’ at the bottom of the layout, each covering 12 numbers per column.	2:1
Twelve	12 numbers	A bet placed in one of the boxes marked ‘1st 12’, ‘2nd 12’ or ‘3rd 12’, which each cover 12 numbers.	2:1
1-18 (Low)	18 numbers	A bet on the winning number being between 1 and 18.	1:1
19-36 (High)	18 numbers	A bet on the winning number being between 19 and 36.	1:1
Red	18 numbers	A bet on the winning number being red.	1:1
Black	18 numbers	A bet on the winning number being black.	1:1
Even	18 numbers	A bet on the winning number being even.	1:1
Odd	18 numbers	A bet on the winning number being odd.	1:1
Adjacent twelve	24 numbers	A bet placed on the line between any two adjacent boxes marked '1st 12', '2nd 12' or '3rd 12', covering 12 numbers of each.	0.5:1
Adjacent column	24 numbers	A bet placed on the line between any two columns marked '2 to 1' at the bottom of the layout, covering 12 numbers of each.	0.5:1

Bet Type	Description	Payout
TIER	This bet type places split bets on 5/8, 10/11, 13/16, 23/24, 27/30 and 33/36 and straight bet on POT	17:1 for split and 1:14/19/24/29/34/39/44/49/59/99 for POT straight bet.
ORPHELINS	Split bets placed on 31/34, 17/20, 14/17, 6/9 and a straight bet placed on number 1 together constitute the Orphelins bet.	17:1 for split, 35:1 for staright
VOISINS DU ZERO	This bet type places split bets on 32/35, 19/22, 18/21, 12/15, 4/7, 2 chips on a street bet 0, 2 and 3, and 2 chips on corner bet 25/26/28/29.	17:1 for split, 11:1 for street, 8:1 for corner
NEIGHBORS BET	There is an option to select 1, 2, 3, 4, 5 numbers as neighbors. When a bet is placed on a number, the number and 1/2/3/4/5 numbers on either side are selected. These numbers together constitute the neighbor bet.	35:1 for straight

Game Information:

The game and game rules are identical in both the real-money and demo modes.
When we bet on POT bet, the maximum winning value will be displayed in the top right corner for particular bet.

Game Options:

A Roulette Wheel Has 38 Slots &

Volume: icon will play the game music. Click on icon will mute the volume .

Volume bar: To increase or decrease the game sounds.
Game Sounds: By default, the Game Sounds check box is enabled. Uncheck the check box to turn off Game Sounds.
Background Music: By default, the Background Music check box is enabled. Uncheck the check box to turn off Background Music.
Turbo function can be used to control the speed of the action.
Turbo Mode: By default, the Turbo Mode check box is disabled. Click on check box to turn off the wheel animation.
Wheel auto Zoom: By default, the Wheel auto Zoom check box is enabled. Uncheck the check box to turn off Wheel auto Zoom.

Paytable text is shown under the Settings icon. If you click on Paytable text a pop-up window will appear that details all the table limits.

Browser panel commands:

Click on Rules to view game rules of the game.
Click on History to view the logs of the games you've played.
Click on Deposit button to add funds to your account.
Click on Real Money/Demo to switch between real-money or demo modes.
The History functionality is applicable only for the real-money game play.

Return to the player:

The theoretical return to player of this game is 95.39 %.

A Roulette Wheel Has 38 Slots

Malfunctions voids all pays and plays.

FAQ’s:

1. I could not complete the game. What should I do?

If you get disconnected in the middle of the base game, the software will automatically complete play for you. You will be able to find out the result by clicking on the 'History' button once you have logged back in.

2.What should I do if the balance is low to place bet?

Click on ‘Deposit’ button at bottom of the game screen and deposit.

3. If you are still having problems, please contact our 24/7 Customer Care team.

Last modification date: 1/21/2021