Kate | January 1, 2023 | Updated on: January 8th, 2024
The concept of roulette expected value is important in understanding what you stand to lose or gain in a game of roulette. Ever wondered how much money you can lose when playing roulette? If your answer is yes to this question, we will help you understand the concept of roulette expected value.
It’s all great when you are winning but losing is another story. Almost all of the wagers on a roulette table have the same expected value. It is the main reason why we say that calculating the potential value in roulette is simple.
Another point is that roulette is not complicated. For example, players can make a single bet, the wheel spins and you get you a payout if you win.
The good news is that if you are familiar with roulette, you can immediately get started with calculations. We recommend that you know what the game is all about before taking this step.
As you go through the roulette expected value guide, you see other roulette types. There are methods we will show you how to analyze the probability. Go on, more below!
Top Roulette Casino Sites
1
300% Bonuses up to $3,000. Min Deposit: $25
2
100% Bonus up to $8,000. Min Deposit: $10
3
350% Bonus up to $3,500. Min Deposit: $25
4
250% Bonus up to $5,000. Min Deposit: $10
5
300% Bonuses up to $2,000
18+. New players only. Welcome Bonus – 300% Bonuses up to $2,000. COUPON CODE: HIGHWINS. This bonus only applies for deposits of $10 or higher! 35x Wagering
6
18+. New players only. Welcome Bonus – 200% Bonus up to $2,000, can be claimed 7x. This bonus only applies for deposits of $35 or higher! 50x Wagering Requirement. Use Bonus Code: 7DAYWELCOME200
7
18+. New players only. Welcome Bonus – 250% Bonus up to $2,500. This bonus only applies for deposits of $25 or higher! 40x Wagering Requirement.
8
18+. New players only. Welcome Bonus – 250% Bonus up to $1,500. This bonus only applies for deposits of $25 or higher! 40x Wagering Requirement.
9
18+. New players only. Welcome Bonus – 200% Bonus up to $10,000. This bonus only applies for deposits of $25 or higher! 40x Wagering Requirement. Use Bonus Code: SP200
10
18+. New players only. Welcome Bonus – 400% Bonus up to $4,000. This bonus only applies for deposits of $25 or higher! 35x Wagering Requirement Wagering Requirement.
11
18+. New players only. Welcome Bonus – 250% Bonus up to $2,500. This bonus only applies for deposits of $10 or higher! 35x Wagering Requirement. Use Bonuse Code: WELCOME1
12
18+. New players only. Welcome Bonus – 250% Bonus up to $2,500. This bonus only applies for deposits of $20 or higher! 40x Wagering Requirement.
13
18+. New players only. Welcome Bonus – 400% up to $10,000 This bonus only applies for deposits of $25 or higher! 40x Wagering Requirement. Use Bonus Code: 400BONUS
14
18+. New players only. Welcome Bonus – 200% Bonus up to $5,000. This bonus only applies for deposits of $25 or higher! 40x Wagering Requirement. Use Bonus Code: SP200
15
500% Bonuses up to $2,500
18+. New players only. Welcome Bonus – 500% Bonuses up to $2,500. COUPON CODE: HIGHWINS. This bonus only applies for deposits of $25 or higher! 35x Wagering
16
18+. New players only. Welcome Bonus – 250% Bonus up to $5,500. Can be redeemed Twice. This bonus only applies for deposits of $25 or higher! 35x Wagering Requirement. Use Bonus Code: WELCOME
17
18+. New players only. Welcome Bonus – 200% Bonus up to $2,000 (Up to $3,000 if you use Crypto). This bonus only applies for deposits of $25 or higher! 35x Wagering Requirement.
18
18+. New players only. Welcome Bonus – 300% Bonus up to $3,000. This bonus only applies for deposits of $20 or higher! 25x Wagering Requirement.
19
18+. New players only. Welcome Bonus – 250% Bonus on 1st Deposit, 150% Bonus on 2nd – 4th Deposit. This bonus only applies for deposits of $30 or higher! 35x Wagering Requirement.
20
18+. New players only. Welcome Bonus – 250% Bonus on 1st Deposit, 150% Bonus on 2nd – 4th Deposit. This bonus only applies for deposits of $30 or higher! 35x Wagering Requirement.
21
18+. New players only. Welcome Bonus – 250% Bonus up to $5,500. This bonus only applies for deposits of $25 or higher! 35x Wagering Requirement. Use Bonus Code: CHERRYSLOTS
22
18+. New players only. Welcome Bonus – 400% Bonus up to $4,000. This bonus only applies for deposits of $25 or higher! 50x Wagering Requirement. Use Bonus Code: ALLSTAR1
23
18+. New players only. Welcome Bonus – 400% up to$4,000. This bonus only applies for deposits of $35 or higher! 50x Wagering Requirement. Use Bonus Code: LUCKYRED400
24
18+. New players only. Welcome Bonus – 150% Bonus on all Deposits on First Day. This bonus only applies for deposits of $20 or higher! 10x Wagering Requirement.
25
18+. New players only. Welcome Bonus – 200% Bonus up to $2,000, can be claimed 7x. This bonus only applies for deposits of $35 or higher! 50x Wagering Requirement. Use Bonus Code: 7DAYWELCOME200
26
18+. New players only. Welcome Bonus – $8,000. This bonus only applies for deposits of $20 or higher! 40x Wagering Requirement. Use Bonus Code: SUMMERALIEN
27
18+. New players only. Welcome Bonus – 100% Bonus up to $1,000, can be claimed 3x. This bonus only applies for deposits of $25 or higher! 45x Wagering Requirement. Use Bonus Code: BETCASINO
28
18+. New players only. Welcome Bonus – 150% Bonus up to $3,000. This bonus only applies for deposits of $50 or higher! 30x Wagering Requirement. Use Bonus Code: CAS150
28
18+. New players only. Welcome Bonus – 150% Bonus up to $1,000. This bonus only applies for deposits of $20 or higher! 40x Wagering Requirement. Use Bonus Code: LUCKYWAVE
29
18+. New players only. Welcome Bonus – 300% Bonus up to $3,000. This bonus only applies for deposits of $20 or higher! 40x Wagering Requirement.
30
18+. New players only. Welcome Bonus – 500% Bonus up to $1,000. This bonus only applies for deposits of $20 or higher! 10x Wagering Requirement. Use Bonus Code: THEKINGS
31
18+. New players only. Welcome Bonus – 350% Bonus up to $2,500. This bonus only applies for deposits of $20 or higher! 10x Wagering Requirement. Use Bonus Code: WILD250
32
18+. New players only. Welcome Bonus – 450% Bonus up to $4,500. This bonus only applies for deposits of $25 or higher! 40x Wagering Requirement.
33
18+. New players only. Welcome Bonus – 275% Bonus up to $2,750. This bonus only applies for deposits of $30 or higher! 30x Wagering Requirement. Use Bonus Code: MAD275
34
18+. New players only. Welcome Bonus – 200% Bonus up to $2,000. This bonus only applies for deposits of $50 or higher! 5x Wagering Requirement. Use Bonus Code: WELCOME200
35
18+. New players only. Welcome Bonus – 250% up to $2,500. This bonus only applies for deposits of $30 or higher! 20x Wagering Requirement. Use Bonus Code: WILDVEGAS
36
18+. New players only. Welcome Bonus – 250% Bonus up to $2,500. This bonus only applies for deposits of $25 or higher! 10x Wagering Requirement. Use Bonus Code: FIESTA250
37
18+. New players only. Welcome Bonus – 250% up to $2,500 + 50 Free Spins. This bonus only applies for deposits of $25 or higher! 10x Wagering Requirement (40x with Crypto). Use Bonus Code: MIGHTY250
38
18+. New players only. Welcome Bonus – 200% Bonus up to $500. This bonus only applies for deposits of $45 or higher! 40x Wagering Requirement. Use Bonus Code: XBC200
39
18+. New players only. Welcome Bonus – 100% Bonus up to $259, can be claimed three times. This bonus only applies for deposits of $25 or higher! 20x Wagering Requirement.
40
18+. New players only. Welcome Bonus – 400% up to$4,000 + 40 Free Spins. This bonus only applies for deposits of $20 or higher! 40x Wagering Requirement. Use Bonus Code: GRANDRUSH
41
18+. New players only. Welcome Bonus – 350% up to$3,500, can be redeemed 4x. This bonus only applies for deposits of $35 or higher! 40x Wagering Requirement.
42
18+. New players only. Welcome Bonus – 500% Bonus. This bonus only applies for deposits of $20 or higher! 40x Wagering Requirement.
43
18+. New players only. Welcome Bonus – 200% Bonus up to $2,000, can be claimed 5x. This bonus only applies for deposits of $35 or higher! 40x Wagering Requirement. Use Bonus Code: WELCOME200
44
18+. New players only. Welcome Bonus – 200% up to$2,000, can be redeemed 3x. This bonus only applies for deposits of $25 or higher! 35x Wagering Requirement.
45
Get up to $8,000 in Bonuses over first 5 Deposits
18+. New players only. Welcome Bonus – Get up to $8,000 over first five deposits. This bonus only applies for deposits of $10-30 or higher! 40x Wagering Requirement. Use Bonus Code: PATIO
46
18+. New players only. Welcome Bonus – 250% up to $2,500, 200% for 2nd, 150% for 3rd. This bonus only applies for deposits of $25 or higher! 35x Wagering Requirement.
47
18+. New players only. Welcome Bonus – 500% up to $2,500. This bonus only applies for deposits of $25 or higher! 30x Wagering Requirement.
48
18+. New players only. Welcome Bonus – 200% up to $4,000. This bonus only applies for deposits of $25 or higher! 30x Wagering Requirement.
49
18+. New players only. Welcome Bonus – 250% up to $4,000. This bonus only applies for deposits of $25 or higher! 30x Wagering Requirement. Use Bonus Code: WELCOME250
50
18+. New players only. Welcome Bonus – 300% up to $3,000. This bonus only applies for deposits of $25 or higher! 35x Wagering Requirement. Use Bonus Code: CRYPTOSPIN300
51
18+. New players only. Welcome Bonus – 555% up to $5,550, can be claimed twice. This bonus only applies for deposits of $25 or higher! 40x Wagering Requirement
52
18+. New players only. Welcome Bonus – 100% Bonus up to $259, can be claimed three times. This bonus only applies for deposits of $25 or higher! 20x Wagering Requirement.
53
18+. New players only. Welcome Bonus – 250% up to $2,500, 200% for 2nd, 150% for 3rd. This bonus only applies for deposits of $25 or higher! 35x Wagering Requirement.
54
18+. New players only. Welcome Bonus – 100% up to$600. This bonus only applies for deposits of $20 or higher! 30x Wagering Requirement.
55
18+. New players only. Welcome Bonus – 250% up to$500, can be redeemed 4x. This bonus only applies for deposits of $25 or higher! 40x Wagering Requirement.
56
18+. New players only. Welcome Bonus – 150% up to$300. This bonus only applies for deposits of $20 or higher! 30x Wagering Requirement. Use Bonus Code: WELCOME
57
18+. New players only. Welcome Bonus – 250% up to$2,500. This bonus only applies for deposits of $25 or higher! 30x Wagering Requirement. Use Bonus Code: WINTASTIC
58
18+. New players only. Welcome Bonus – 240% up to$2,400, on 1st Deposit. This bonus only applies for deposits of $20 or higher! 40x Wagering Requirement. Use Bonus Code: GARNET
59
18+. New players only. Welcome Bonus – 400% up to$400. This bonus only applies for deposits of $20 or higher! 40x Wagering Requirement.
60
18+. New players only. Welcome Bonus – 200% up to$200. This bonus only applies for deposits of $20 or higher! 40x Wagering Requirement.
61
18+. New players only. Welcome Bonus – 200% up to$200, can be claimed 5x. This bonus only applies for deposits of $20 or higher! 40x Wagering Requirement.
62
18+. New players only. Welcome Bonus – 200% up to $625. This bonus only applies for deposits of $20 or higher! 30x Wagering Requirement.
63
18+. New players only. Welcome Bonus – 300% Bonus up to $1,500. This bonus only applies for deposits of $20 or higher! 40x Wagering Requirement. Use Bonus Code: PRIMA300
64
18+. New players only. Welcome Bonus – 100% Bonus up to $100, plus 9 more bonuses. This bonus only applies for deposits of $25 or higher! 30x Wagering Requirement. Use Bonus Code: JCWELCOME
65
18+. New players only. Welcome Bonus – 160% Bonus up to $1,600. This bonus only applies for deposits of $35 or higher! 40x Wagering Requirement. Use Bonus Code: LUCKYCOINS
66
18+. New players only. Welcome Bonus – 505% Bonus up to $1,000. This bonus only applies for deposits of $20 or higher! 30x Wagering Requirement.
67
18+. New players only. Welcome Bonus – 280% Bonus up to $2,800, can be claimed 5x. This bonus only applies for deposits of $20 or higher! 35x Wagering Requirement. Use Bonus Code: LASATLANTIS
68
18+. New players only. Welcome Bonus – 400% Bonus up to $8,000. This bonus only applies for deposits of $20 or higher! 40x Wagering Requirement. Use Bonus Code: CHERRY400
69
18+. New players only. Welcome Bonus – 200% Bonus up to $5,000. This bonus only applies for deposits of $20 or higher! 40x Wagering Requirement. Use Bonus Code: JUICYVEGAS
70
18+. New players only. Welcome Bonus – 325% Bonus up to $9,750. This bonus only applies for deposits of $20 or higher! 40x Wagering Requirement.
71
18+. New players only. Welcome Bonus – $8,000. This bonus only applies for deposits of $20 or higher! 50x Wagering Requirement. Use Bonus Code: HOTSPRINGS
72
18+. New players only. Welcome Bonus – 300% Bonus up to $1,500. This bonus only applies for deposits of $25 or higher! 40x Wagering Requirement.
73
18+. New players only. Welcome Bonus – 250% Bonus up to $2,500. This bonus only applies for deposits of $25 or higher! 40x Wagering Requirement. Use Bonus Code: OMERTA250
74
18+. New players only. Welcome Bonus – 300% Bonus up to $3,000. This bonus only applies for deposits of $25 or higher! 40x Wagering Requirement. Use Bonus Code: BIGEVENT
75
18+. New players only. Welcome Bonus – 300% Bonus up to $3,000. This bonus only applies for deposits of $35 or higher! 50x Wagering Requirement. Use Bonus Code: BIGSLOT
76
18+. New players only. Welcome Bonus – 100% Bonus up to $1,000. This bonus only applies for deposits of $25 or higher! 40x Wagering Requirement. Use Bonus Code: WELCOME100
77
18+. New players only. Welcome Bonus – 300% Bonus up to $2,000. This bonus only applies for deposits of $25 or higher! 50x Wagering Requirement.
78
18+. New players only. Welcome Bonus – 400% Bonus up to $4,000, can be claimed 2x. This bonus only applies for deposits of $35 or higher! 40x Wagering Requirement.
79
18+. New players only. Welcome Bonus – 300% Bonus up to $3,000, can be claimed 2x. This bonus only applies for deposits of $25 or higher! 40x Wagering Requirement. Use Bonus Code: ECLIPSE300
80
18+. New players only. Welcome Bonus – 300% Bonus up to $7,000. This bonus only applies for deposits of $25 or higher! 35x Wagering Requirement. Use Bonus Code: ROYAL
81
18+. New players only. Welcome Bonus – 100% Bonus up to $1,000, can be claimed 9x. This bonus only applies for deposits of $30 or higher! 30x Wagering Requirement. Use Bonus Code: GS001
81
18+. New players only. Welcome Bonus – 250% Bonus up to $2,500. This bonus only applies for deposits of $20 or higher! 50x Wagering Requirement. Use Bonus Code: WELCOMEBUZZ
82
18+. New players only. Welcome Bonus – 100% Bonus up to $1,000, can be claimed twice. This bonus only applies for deposits of $25 or higher! 45x Wagering Requirement. Use Bonus Code: SBCASINO
83
18+. New players only. Welcome Bonus – 235% Bonus up to $2,350. This bonus only applies for deposits of $25 or higher! 40x Wagering Requirement. Use Bonus Code: IRISHCHARM
84
18+. New players only. Welcome Bonus – 235% Bonus up to $2,350. This bonus only applies for deposits of $20 or higher! 40x Wagering Requirement.
85
18+. New players only. Welcome Bonus – 250% Bonus up to $2,500. This bonus only applies for deposits of $30 or higher! No Wagering Requirement.
86
18+. New players only. Welcome Bonus – 500% Bonus up to $1,500. This bonus only applies for deposits of $25 or higher! 40x Wagering Requirement.
87
18+. New players only. Welcome Bonus – 300% Bonus up to $3,000, can be claimed 3x. This bonus only applies for deposits of $35 or higher! 40x Wagering Requirement.
88
18+. New players only. Welcome Bonus – 250% Bonus up to $5,500. This bonus only applies for deposits of $25 or higher! 35x Wagering Requirement. Use Bonus Code: KOALAFUN
89
18+. New players only. Welcome Bonus – 300% Bonus up to $1,500. This bonus only applies for deposits of $25 or higher! 30x Wagering Requirement.
90
18+. New players only. Welcome Bonus – 450% Bonus up to $4,500. This bonus only applies for deposits of $25 or higher! 50x Wagering Requirement. Use Bonus Code: WELCOMECRYPTO
91
18+. New players only. Welcome Bonus – 450% Bonus up to $4,500. This bonus only applies for deposits of $25 or higher! 50x Wagering Requirement. Use Bonus Code: HIGHNOON200
92
18+. New players only. Welcome Bonus – 100% Bonus up to $747, can be claimed 2x. This bonus only applies for deposits of $25 or higher! 50x Wagering Requirement. Use Bonus Code: MANHATTANSLOTS
93
18+. New players only. Welcome Bonus – 10,000% Bonus up to $5,000. This bonus only applies for deposits of $20 or higher! 10x Wagering Requirement. Use Bonus Code: THEBIGONE
94
18+. New players only. Welcome Bonus – 505% Bonus up to $1,000. This bonus only applies for deposits of $20 or higher! 10x Wagering Requirement. Use Bonus Code: 505INSTANT
More Online Casinos
Expected Value in Roulette
It only becomes difficult to calculate the expected value in roulette if players don’t have all the data. The right information will assist players to sum up their expected value. That’s why we say that for most wagers, calculating your expected value is easy.
Possible value requires players to do estimation and some maths. For instance, a player A flips a coin with player B. In this situation the payouts are not fair. Let’s say player A makes a $10 wager on each flip, and player B bets $11.
Do you know what the expected value is for player A? There is a 50% chance of winning which means player A will win $11. When we multiply the numbers the total will be $5.50. Also, the first player (A) will lose half of the time.
This means that the player will lose $10 every time. So, when we say $10 X 5 = $5.50. What’s more, you can take those two amounts, subtract the average loss from the average win to get the expected value of $0.50 on every flip. The calculation will be as follows; ($11 x .5) – ($10 x.5) = $0.50.
European Roulette expected Value
When it comes to European roulette nearly all wager has the same house edge. Let’s explain what we mean. For example, players bet on one digit. If this bet wins, it will payout 35-1.
Nonetheless, there is just a single winning result out of the possible 37. The odds of winning on one spin are 1/37 or 2.70%. While the chances of losing on any spin are 36/37 or 97.30.
This is how the calculations look: (35 x 027) – (1 x 973)946 – 973 = 0.027.
It can be expressed as a percentage value of 2.7%. We rounded off the figures above. The casino gets its advantage from the zero. This possible value is the same on every wager.
American Roulette Expected Value
The possible value is to some degree more for the casino in US roulette. This is because although the payouts are the same, there is an extra digit on the wheel (00). At times, this intimidates players. For example, the payout is identical which is 35-2, the chances of winning are lower.
The main reason is that there is one winner out of 38 digits. On the other hand, players will lose 37 times out of 38. It might look small but has a huge impact on the expected value.
The calculation: (35 x 0263) – (1×9737). 921-947 =-0.053. The edge of the casino is 5.3%. The possible value is more than this, we rounded off the figure. The house edge is closer to 5.26%.
This is the same as 2/38. See, it is nearly double the house edge as the European game. So, the European roulette is a better option compared to American.
Other Roulette Guides: