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Blackjack Bankroll Risk Of Ruin

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  1. Blackjack Bankroll Risk Of Ruin Breath
  2. Blackjack Bankroll Risk Of Ruin Wisdom
  3. Risk Of Ruin Blackjack Calculator

Blackjack Betting and Risk of Ruin for the Basic Strategy Player

By Brother William
(From Blackjack Forum Vol XV #3, September 1995)
© 1995 Blackjack Forum

Theoretically, your risk of ruin given infinite hands and finite bankroll should be 100%. As there is a string of games that you can lose in a row that will wipe out your bankroll, and if you play infinite hands, you are guaranteed to play said string. So, I don't understand what people mean by 'risk of ruin' in general. Risk of ruin is the percentage likelihood of losing a set amount of money over a specific number of hands at the Blackjack table. Online poker strategy. Ruin is just a way of saying 'going broke'. For example, if you decided to take a $100 bankroll and bet $1 on each hand for 100 hands, your risk of ruin would be 0.5% (or a 1 in 200 chance of going broke).

Blackjack Bankroll Risk Of Ruin

[Editor's note: Brother William's article about fluctuations in your blackjack bankroll when flat betting and playing basic strategy have a new relevance for players who are taking advantage of online casino bonuses or loss rebate plays. If you are a basic strategy player for any reason, study the article and chart below to get a handle on the normal fluctuations you can expect in your blackjack bankroll. --Arnold Snyder] Poker face minecraft.

In the June 1995 issue of Blackjack Forum, I suggested that it would be helpful to basic strategy blackjack players to print detailed risk charts indicating standard deviation (fluctuation) for flat betting when playing basic strategy. I think there is a danger for players who are milking comps and promotions in not understanding these risks.

Blackjack Bankroll Risk Of Ruin Breath

In an attempt to remedy this problem, I have created an all-purpose risk chart for the basic strategy player. I hope basic strategy blackjack players will study this chart carefully.

How to Use the Blackjack Basic Strategy Betting Risk Chart

Assumptions:

1. House advantage over the basic strategy player is 0.54% (which would correspond precisely to a 6-deck shoe game with Strip rules, but works pretty well for most games available anywhere, as the house edge is usually set around ½% over the basic strategy player).

2. 60 hands per hour of play. (This is pretty close to what you'll average with a full table.)

3. Flat betting 1 unit per hand.

Regardless of what your unit size is, you may use this chart simply by multiplying. If you were playing $1 per hand, then all of the chart entries in units can simply be read right from the chart in dollars and cents. Example: betting $1 per hand for 16 hours of play, as per the assumed game conditions, you would have an expected loss of $5.18. You will be within one standard deviation (SD) of this expectation 68% of the time, which translates to an actual result between a loss of $39.27 and a win of $28.90. You will be within three standard deviations 99.7% of the time, which translates to an actual result between a loss of $117.80 and a win of $86.69.

Using a $100 betting unit, if you intend to play a total of 16 hours of basic strategy in this game and you're willing to accept a risk level of three SD's, simply move the decimal point two places to the right. You would expect to lose $518.00, but your actual result 99.7% of the time would fall between a loss of $11,780.00 and a win of $8,669.00.

Blackjack Bankroll Risk Of Ruin Wisdom

So, if you can stand the thought of losing somewhere around $12,000 every rare once in a while in 16 hours of play, you can afford to flat bet this game with black chips.

The charts are very easy to use with flat bets of $1, $10, $100 and $1000, because you simply have to move the decimal point. For flat bets of $5 or $25 or whatever, just use a pocket calculator.

Note that the entry in the 'expected loss' column can be used to estimate what you are actually 'paying' for any comps your action buys.

Blackjack Basic Strategy Risk Chart
# hoursexpected
loss (units)
SD %SD levelsloss
(units)
win
(units)
10.3214.21 68%
2 95%
3 99.7%
4 100%
8.84
17.69
26.53
35.39
8.20
16.39
24.59
32.79
20.6510.01 68%
2 95%
3 99.7%
4 100%
12.70
25.40
38.09
50.79
11.40
22.80
34.21
45.60
30.978.201 68%
2 95%
3 99.7%
4 100%
15.73
31.46
47.19
62.92
13.79
27.57
41.36
55.14
41.307.101 68%
2 95%
3 99.7%
4 100%
18.34
36.67
55.01
73.35
15.75
31.49
47.24
62.98
82.595.021 68%
2 95%
3 99.7%
4 100%
26.69
53.38
80.08
106.77
21.51
43.02
64.52
86.03
123.894.101 68%
2 95%
3 99.7%
4 100%
33.40
66.81
100.21
133.62
25.63
51.26
76.88
102.51
165.183.551 68%
2 95%
3 99.7%
4 100%
39.27
78.53
117.80
157.07
28.90
57.80
86.69
115.59
206.483.181 68%
2 95%
3 99.7%
4 100%
44.59
89.17
133.76
178.34
31.63
63.25
94.88
126.50
247.782.901 68%
2 95%
3 99.7%
4 100%
49.52
99.04
148.55
198.07
33.97
67.93
101.90
135.86

Again, I hope any basic strategy blackjack players out there will study this chart carefully. The bankroll you save my be your own. Good luck! ♠

For information on professional gamblers' betting strategies for blackjack, see Arnold Snyder's Blackbelt in Blackjack.

On This Page

Introduction

The purpose of this calculator is to estimate the probability of ruin, given a positive expected value, standard deviation, bankroll, and infinite play. The calculator assumes the player flat betting and the odds of every trial are the same. The question the calculator answers is what is the probability the player would run out of money, as opposed to growing his bankroll forever. Here is some explanation of each field.

  • Advantage — The player advantage of the bet. For example, in full pay deuces wild, which has a return of 100.762%, the player advantage is 0.00762. Please put the advantage in decimal form, as opposed to a percent.
  • Standard deviation — The square root of the variance of each bet. For example, in full pay deuces wild this value is 5.08.
  • Bankroll — If you lose every bet, this is the number of bets you could make before running out of money. In other words, the amount of money you can risk divided by the amount of each bet. For example, if you had $5,000 and were to play video poker at $1.25 a bet, your bankroll would be $5,000/$1.25 = 4,000.
  • Risk of ruin — Leave this blank. When you click calculate the program will provide an estimate of the probability of running out of money. The alternative is growing the bankroll forever.

Disclaimer: This calculator produces an ESTIMATE only. The greater the bankroll size, the more accurate this estimate will be. In games like video poker, video keno, and slots, where the worst case scenario is losing one unit, I believe this calculator to overstate the chance of ruin.

Blackjack

[Editor's note: Brother William's article about fluctuations in your blackjack bankroll when flat betting and playing basic strategy have a new relevance for players who are taking advantage of online casino bonuses or loss rebate plays. If you are a basic strategy player for any reason, study the article and chart below to get a handle on the normal fluctuations you can expect in your blackjack bankroll. --Arnold Snyder] Poker face minecraft.

In the June 1995 issue of Blackjack Forum, I suggested that it would be helpful to basic strategy blackjack players to print detailed risk charts indicating standard deviation (fluctuation) for flat betting when playing basic strategy. I think there is a danger for players who are milking comps and promotions in not understanding these risks.

Blackjack Bankroll Risk Of Ruin Breath

In an attempt to remedy this problem, I have created an all-purpose risk chart for the basic strategy player. I hope basic strategy blackjack players will study this chart carefully.

How to Use the Blackjack Basic Strategy Betting Risk Chart

Assumptions:

1. House advantage over the basic strategy player is 0.54% (which would correspond precisely to a 6-deck shoe game with Strip rules, but works pretty well for most games available anywhere, as the house edge is usually set around ½% over the basic strategy player).

2. 60 hands per hour of play. (This is pretty close to what you'll average with a full table.)

3. Flat betting 1 unit per hand.

Regardless of what your unit size is, you may use this chart simply by multiplying. If you were playing $1 per hand, then all of the chart entries in units can simply be read right from the chart in dollars and cents. Example: betting $1 per hand for 16 hours of play, as per the assumed game conditions, you would have an expected loss of $5.18. You will be within one standard deviation (SD) of this expectation 68% of the time, which translates to an actual result between a loss of $39.27 and a win of $28.90. You will be within three standard deviations 99.7% of the time, which translates to an actual result between a loss of $117.80 and a win of $86.69.

Using a $100 betting unit, if you intend to play a total of 16 hours of basic strategy in this game and you're willing to accept a risk level of three SD's, simply move the decimal point two places to the right. You would expect to lose $518.00, but your actual result 99.7% of the time would fall between a loss of $11,780.00 and a win of $8,669.00.

Blackjack Bankroll Risk Of Ruin Wisdom

So, if you can stand the thought of losing somewhere around $12,000 every rare once in a while in 16 hours of play, you can afford to flat bet this game with black chips.

The charts are very easy to use with flat bets of $1, $10, $100 and $1000, because you simply have to move the decimal point. For flat bets of $5 or $25 or whatever, just use a pocket calculator.

Note that the entry in the 'expected loss' column can be used to estimate what you are actually 'paying' for any comps your action buys.

Blackjack Basic Strategy Risk Chart
# hoursexpected
loss (units)
SD %SD levelsloss
(units)
win
(units)
10.3214.21 68%
2 95%
3 99.7%
4 100%
8.84
17.69
26.53
35.39
8.20
16.39
24.59
32.79
20.6510.01 68%
2 95%
3 99.7%
4 100%
12.70
25.40
38.09
50.79
11.40
22.80
34.21
45.60
30.978.201 68%
2 95%
3 99.7%
4 100%
15.73
31.46
47.19
62.92
13.79
27.57
41.36
55.14
41.307.101 68%
2 95%
3 99.7%
4 100%
18.34
36.67
55.01
73.35
15.75
31.49
47.24
62.98
82.595.021 68%
2 95%
3 99.7%
4 100%
26.69
53.38
80.08
106.77
21.51
43.02
64.52
86.03
123.894.101 68%
2 95%
3 99.7%
4 100%
33.40
66.81
100.21
133.62
25.63
51.26
76.88
102.51
165.183.551 68%
2 95%
3 99.7%
4 100%
39.27
78.53
117.80
157.07
28.90
57.80
86.69
115.59
206.483.181 68%
2 95%
3 99.7%
4 100%
44.59
89.17
133.76
178.34
31.63
63.25
94.88
126.50
247.782.901 68%
2 95%
3 99.7%
4 100%
49.52
99.04
148.55
198.07
33.97
67.93
101.90
135.86

Again, I hope any basic strategy blackjack players out there will study this chart carefully. The bankroll you save my be your own. Good luck! ♠

For information on professional gamblers' betting strategies for blackjack, see Arnold Snyder's Blackbelt in Blackjack.

On This Page

Introduction

The purpose of this calculator is to estimate the probability of ruin, given a positive expected value, standard deviation, bankroll, and infinite play. The calculator assumes the player flat betting and the odds of every trial are the same. The question the calculator answers is what is the probability the player would run out of money, as opposed to growing his bankroll forever. Here is some explanation of each field.

  • Advantage — The player advantage of the bet. For example, in full pay deuces wild, which has a return of 100.762%, the player advantage is 0.00762. Please put the advantage in decimal form, as opposed to a percent.
  • Standard deviation — The square root of the variance of each bet. For example, in full pay deuces wild this value is 5.08.
  • Bankroll — If you lose every bet, this is the number of bets you could make before running out of money. In other words, the amount of money you can risk divided by the amount of each bet. For example, if you had $5,000 and were to play video poker at $1.25 a bet, your bankroll would be $5,000/$1.25 = 4,000.
  • Risk of ruin — Leave this blank. When you click calculate the program will provide an estimate of the probability of running out of money. The alternative is growing the bankroll forever.

Disclaimer: This calculator produces an ESTIMATE only. The greater the bankroll size, the more accurate this estimate will be. In games like video poker, video keno, and slots, where the worst case scenario is losing one unit, I believe this calculator to overstate the chance of ruin.

Internal Links

Risk Of Ruin Blackjack Calculator

  • Risk of ruin in blackjack (play requirement for a bonus situation)

External Links

  • Risk of ruin at Wikipedia
  • Risk of Ruin for Video Poker and Other Skewed-Up Games at Blackjack Forum Online.

Written by:Michael Shackleford



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