In this blog, there are lots of results gained by card game experiments. Blackjack, Pontoon, Caribbean Poker, etc.

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自己紹介

自分の写真
I'm a Japanese guy, Nokkie. I'm a cram school teacher and normally work in the evening. When I have time, I make a study of Blackjack through taking a test practically. I wanna become a smarter blackjack player in the future. I've been seeking for a convincing rule recently.
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2017年6月30日金曜日

[Blackjack Betting System] 2BOX-5%-Betting System Part 01


Do you play Blackjack with the 2-BOX?

I have two questions.
One is which would be effective to win, 2-box-use or only 1-box-use.
The other is how the game would proceed, bet 5% of the bankroll with 2 boxes.


To answer these questions, I conducted a BJ experiment on video.
The video playback time is within 15 min.

If the player's bankroll reaches half or double, the experiment will be over.
Unfortunately, he 's not in good condition so far, as you already know it from the video.
Reaching half, he would raise the bet amount to take back his losses.
Then he will introduce the Martingale Betting System reluctantly.

Continued in Part 02.


That's all.
I hope it will be useful.
Look forward to the next.
Have a good weekend.
Bye.


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2017年6月29日木曜日

[Blackjack Betting System] 10%-Betting System Part 02


In fact, the Martingale is related to this betting system.

Unfortunately, the player easily lost on the 1st stage.
And then, he changed the blackjack table.

Last time, 1 chip deserved 5 dollars.
This time, 1 chip deserves 10 dollars.
So the Martingale is used.

As a bankroll, the player needed 500 dollars on the 1st stage.
The range of his bet chips was 6 chips to 18 chips.
That corresponds to $30 to $90.

However, he stopped the 1st stage before his bankruptcy.
That was because of the rule.
His bankroll reached the half, so he quit.
Actually, he lost $230 and saved $270 for the next.

On the 2nd stage, he needs to prepare 1,000 dollars as a new bankroll.
His aim is to win 500 dollars.
The range of his bet chips is 6 chips to 14 chips.
That corresponds to $60 to $140.

The 2nd stage will continue until his bankroll reaches $500 or $1,500.
If it reaches $500, he would go to the next stage and raised his bet amount.
If it reaches $1,500, he will be able to take back his losses and earn some winning money.


The following video consists of the 25 trials on the 2nd stage.
How do you think the experiment would proceed?
The playback time is about 15 min.
If you're interested, check it out.


That's all.
Hope it'll help.
Thank you for reading & watching.
Bye.


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2017年6月28日水曜日

[Blackjack Betting System] 10%-Betting System Part 01


How do you usually bet at Blackjack?

In general, keeping flat betting would lead you to lose finally because of the house edge.
Doing it for a short period is no problem, though.

I strongly believe that it is essential for us to gamble with a good & convincing betting system.


Then have you ever heard of 10%-Betting System?
As the name shows, a player bets 10% of his bankroll.

In this experiment, the player prepares 100 chips as a bankroll.
In the first stage, suppose that 1 chip deserves 5 dollars.
So his initial bankroll is 500 dollars.
If it reaches the half or the double, the first stage will end.

Anyway, check out this video if you're interested.

If you are in trouble for how to bet, hope it'll help as a good reference.

To be continued in Part 02.
Look forward to it.


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2017年6月27日火曜日

[BJ Strategy Match] Coward vs Mimicry


Which strategy do you think would be preferable to win?

The Coward Strategy 
1 Always stand on 12 or more 
2 Never double down nor split a pair

The difference between Coward and Defensive is as follows:
Coward cannot say surrender because he lacks courage to make a choice.
But Defensive can clearly decide whether to surrender or not.


The Mimicry Strategy 
1 Always hit 16 or less 
2 Always stand on 17 or more 

It's the same strategy as the dealer's.
They face each other, so I called the player Mimicry.


To examine which strategy is effective to win, I conducted a Blackjack experiment.

This video consists of the 25 trials.
The playback time is about 10 min.
If you're interested, check it out.


To get more precise results, I collected more 75 data.
The following graphs show the results based on the 100 data.
Blackjack experiment Result of the strategy match 1
The losing percentage is about 1/2.
As a specific feature, the player never loses on busted hands.

Blackjack Experiment Result of the strategy match 2
Contrary to Coward, Mimicry often busts his hand in a bad condition.
But his winning percentage is fairly good.



The winning rates except for a tie are as follows:

Coward 48%    Mimicry 56% 

The chip's fluctuation (Bet amount: 2 chips every time)

Coward -3 chips    Mimicry +11 chips


To sum up, Mimicry is more preferable to Coward.

If Mimicry improves his strategy a bit, for example, always stand on hand 13, the result might be better.



That's all.
Thank you for reading.
Hope this article will be useful.
If you like, give me comments, thanks.

Bye.


2017年6月26日月曜日

[BJ Strategy Match] Defensive vs Aggressive


Are you defensive or aggressive when you play Blackjack?


This time, as a title of Strategy Match, I conducted a Blackjack experiment.

Which strategy do you think would be effective to win?

The Defensive Strategy
1  Stand on 12 or more vs Dealer's 2-6
2  Surrender 12 or more vs Dealer's 7-Ace
3  Never double down nor split a pair

The Aggressive Strategy
1  Always hit 16 or less
2  Always stand on 17 or more
3  Always double down or split a pair


This video consists of the 25 trials.
The playback time is about 10 min.
If you're interested, check it out.

To get more precise results, I collected more 75 data.
The following graphs show the results based on the 100 data.
Blackjack experiment Result of the defensive strategy
He shouted, "Surrender!" more often.
How were his decisions correct?

The answer is shown as the following graph.
Blackjack experiment Result of surrender (hand 12-16)
His decisions were correct at a rate of about 3/4.
Isn't it good?

Blackjack experiment Result of the aggressive strategy
He was too aggressive to play well or just out of luck.
He had to hit hand 16 even against dealer's 6.


The winning percentages except for a tie are as follows:

Defensive  28%    Aggressive  32%

The chip's fluctuation (Bet amount: 2 chips every time)

Defensive -49 chips    Aggressive -63 chips


To sum up, either of the strategies is not good.
If they're improved, the results might be better.

After all, when we should surrender, double down or split a pair, that's the problem.


That's all.
Hope this article will be useful.
If you like, give me comments, thanks.
Good luck for your strategy.
Bye.



2017年6月25日日曜日

[Blackjack] Two 7s vs Dealer's 7



Blackjack Strategy

Isn't stand off enough in this case?
Two 7s vs Dealer's 7

In the basic strategy of Blackjack, split is recommended.
But some players choose hit or occasionally choose stand on the pair as hand 14.

In my case, I normally split it without hesitation.
I wonder how we could win following the BS.

I conducted a Blackjack experiment to calculate the winning percentages for the three choices, split, hit and stay.
(without recording on video this time)
Blackjack Experiment Recording

Results of the experiment

The following graphs show the results based on the 100 data.
Blackjack Experiment Result of split (77 vs D7)
The rate of not losing is about 1/2.

Blackjack Experiment Result of split (77 vs D7)
Hitting hand 14 is disadvantageous regardless of the dealer's face-up card.
Because we bust our hand at a rate of 6/13 (46%) in theory.

Blackjack Experiment Result of split (77 vs D7)
This choice is out of the question.


The results except for a tie

 are as follows:



Winning Percentages
Split 42%    Hit 29%     Stay 22%

The chip's fluctuation 
Split -25 chips    Hit -41 chips     Stay -56 chips
(Bet amount: 1 chip every time)


To sum up, split is the most preferable choice of the three.
However, it's not advantageous to us.


Lastly, look at this graph.
3-unit win in the case of 77 vs D7
For example, after splitting, one is a doubled hand and the other is normal.
And then, if the player wins all, we call it 3-unit win.

From the graph, we should be careful when choosing split.
For instance, we don't when bet a big amount.

This video consists of some examples of the 3-unit bet (both win and loss).
If you're interested, check it out.
The playback time is only a few minutes.


That's all.
Hope this article will be useful.
If you like, give me comments, thanks.
Good luck for your splitting.
Bye.


[Blackjack] Two 9s vs Dealer's 2



Blackjack Strategy

That's like 9-double.
Two 9s vs Dealer's 2 in Blackjack

In the basic strategy of Blackjack, split is recommended.
But some players stand on the pair as hand 18.
They might think of the splitting as a risky gamble.

Then which choice is better to win?

I conducted a Blackjack experiment to calculate the winning percentages for both choices.
(without recording on video this time)
Blackjack Experiment Recording

Results of the experiment

The following graphs show the results based on the 100 data.
Blackjack Experiment Result of split (99 vs D2)
The winning rate is so-so.

Blackjack Experiment Result of stay (99 vs D2)
The result is rather good as I expected.


The results except for a tie 

are as follows:

Winning Percentages
Split 49%    Stay 60%

The chip's fluctuation 
Split +6 chips    Stay +18 chips
(Bet amount: 1 chip every time)

To sum up, stay is more preferable to split, contrary to the BS.


Lastly, look at this graph.
3-unit win in the case of 99 vs D2 in Blackjack
For example, after splitting, one is a doubled hand and the other is normal.

And then, if the player wins all, we call it 3-unit win.

In this experiment, he won triple at a rate of 70%.
That's a positive aspect.

This video consists of some examples of the 3-unit bet (both win and loss).
If you're interested, check it out.
The playback time is only a few minutes.


That's all.
Hope this article will be useful.
If you like, give me comments, thanks.
Good luck for your splitting.
Bye.


2017年6月23日金曜日

[Blackjack] Two 10s vs Dealer's 9



Blackjack Strategy

What do you think of splitting 10s?
two 10s vs Dealer's 9 in Blackjack

In the basic strategy of Blackjack, stay is recommended.
I think many BJ players stand on the pair as a matter of course.
And then, players who split 10s are in the minority.

I always choose stay and don't know their feelings.
I wonder why they choose split.

Then I decided to conduct a Blackjack experiment and examine whether there's a big difference of each winning percentage.


A couple months ago I collected 50 data in the same situation under the European no hole card style. (never recorded on video)


Results of the experiment

The following two graphs show the results based on the 100 data.
I have never drawn such a impressive graph!
We would win at a rate of about 4/5.
We can be aggressive.
During the experiment, I realized that the player could win easily.
In most cases, the dealer's hand was 17-19.

It's difficult to mention a positive aspect.
Seeing the losing percentages, we would not lose at a rate of 71%.
Unfortunately, who thinks it a good point?


The results except for a tie

are as follows:

Winning Percentages
Stay 92%    Split 56%

The chip's fluctuation
Stay +74 chips    Split +20 chips
 (Bet amount: 1 chip every time)

To sum up, we definitely stand on 10s as hand 20 against Dealer's 9.


To players who try to split 10s, we shouldn't complain of their decision, but kindly suggest it would be much more beneficial to choose stay.

That's all.
Hope this article will be useful.
Good luck.
Bye.


[Pontoon,Spanish 21] Two 6s vs Dealer's 3


Pontoon (Spanish 21) Strategy


Isn't splitting exciting in this situation?
Two 6s vs Dealer's 3 in Pontoon

In the basic strategy of Pontoon, hit is recommended.
But players who don't know about Pontoon well tend to stand on the pair as hand 12, as in Blackjack.
Also, others choose splitting the pair.

Which do you think is the best to win in this situation?

I conducted a Pontoon experiment to calculate the winning percentages for all the choices.

In the video, the number of trials is 20.
After recording it, I collected more 80 data to get more precise result.

Results of the experiment

The following three graphs show the results based on the 100 data.
Pontoon Experiment Result of hit
Since we must hit hand 14 following the BS, there were various patterns of losing by busting.
From the graph, the winning rate is just 1/2.
It's not bad.

Pontoon Experiment Result of stay
Seemingly, hand 12 is not enough to win, Unlike in Blackjack.
10's cards are not used, so the probability of the dealer's busting is lower than in BJ.
To begin with, we should hit any hand 12 in the Pontoon BS.

Pontoon Experiment Result of split
In comparison to the result of stay above, split is more preferable to stay.
However, the losing percentage of split is the lowest of all the choices.

Look at this graph.
Pontoon Experiment Result of the 3 wins
For example, one is a double down hand and the other is a normal hand.
Splitting 6s and taking 4 or 5, we will have got a double down chance.
Since the dealer's initial card is 3, in the BS, 10 or 11 double down is recommended.
Besides, we don't surrender the rubbish hand like 12-16 after doubling down.

If you're a risk-taker, why not try to split, wishing for the 3 wins?


One more photo.
678-21, bonus hand in Pontoon
Do you know 678-21?
In some casinos, it's considered a bonus hand.
The odds are, for example, in Aussie casinos, 3 to 2 or higher.
I observed the special hand, 5 out of 100 times during the experiment.
Isn't it attractive?

The results except for a tie

 are as follows:

Winning Percentages
Hit 51%    Stay 32%    Split 46%

The chip's fluctuation
Hit +4 chips    Stay -72 chips    Split -33 chips
(Bet amount: 2 chips every time) 

To sum up, it is obvious that hit is the best choice of the three.


That's all.
Hope this article will be good information to you as well.
Enjoy your Pontoon.
Good luck.


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2017年6月22日木曜日

[Blackjack] Two 2s vs Dealer's 2



Blackjack Strategy

Expect doubling down will come after splitting it.

Two 2s vs Dealer's 2 in Blackjack

In the basic strategy of Blackjack, split is recommended.
However, it's applicable to this rule: double after split is allowed.
What about hitting the pair as 4?

To calculate the winning percentages for both choices, I conducted a Blackjack experiment.

▼Experiment 1▼


▼Detailed Result 1▼
The following two graphs show the percentages of each outcome based on the 50 data.
Blackjack Experiment Result of split (22 vs D2)


Blackjack Experiment Result of hit(22 vs D2)

To get more precise result, I collected more data under the European no hole card style.

▼Experiment 2▼
In this video, Japanese language is mainly used.
But you will vaguely understand how the experiment proceeds.


▼Detailed Result 2▼
These two graphs show the percentages of each outcome based on the 50 data.
Blackjack Experiment Result of split (22 vs D2)


Blackjack Experiment Result of hit(22 vs D2)


▼More Precise Result▼

Lastly, the following two graphs show the results based on the 100 data.
Blackjack Experiment Result of split(22 vs D2)
We would lose at a rate of about 1/2.

Blackjack Experiment Result of hit (22 vs D2)
There is not really a big difference between both results.


The results except for a tie

are as follows:

Winning Percentages
Split 47%    Hit 47%

The chip's fluctuation
Split +2 chips    Hit -6 chips


One more thing, look at this graph.
Blackjack Experiment Result of 3-unit-win (22 vs D2)
It shows the percentages of 3-unit-win.
At a rate of 62%, the player won triple.
For example, after splitting, one is a doubled hand and the other is normal.
And then, he won both.
This is a positive aspect brought by splitting.
This time, there was no 4-unit-win nor 4-unit-loss.


To sum up, against Dealer's 2, split a pair of 2 is rather preferable to hit it.


That's all.
Hope this article will be useful.
If you like, give me comments, thanks.
Good luck for your splitting.
Bye.


2017年6月21日水曜日

[Blackjack] 11 vs Dealer's 10



Blackjack Strategy

Shout, "Picture!" when your card is being dealt.
hand 11 against Dealer's 10

In the basic strategy of Blackjack, double down is recommended.
But some players make a defensive decision.
They choose hit, not double down in this situation.

I conducted a Blackjack experiment to calculate the winning percentages for both choices.

▼Experiment 1▼


▼Detailed Result 1▼
The following two graphs show the percentages of each outcome based on the 50 data.
Blackjack Experiment Result of double (11 vs D10)


Blackjack Experiment Result of hit(11 vs D10)

To get more precise result, I collected more data under the European no hole card style.

▼Experiment 2▼
In this video, Japanese language is mainly used, but you will vaguely understand how the experiment proceeds.


▼Detailed Result 2▼
These two graph shows the percentages of each outcome based on the 50 data.
Blackjack Experiment Result of double (11 vs D10)


Blackjack Experiment Result of hit (11 vs D10)


More Precise Result

Lastly, the following two graphs show the results based on the 100 data.
Blackjack Experiment Result of double(11 vs D10)
We would win at a rate of about 1/2.
Compared to other doubling down, the rate would be lower.
What about doubling down if you could guess the next card is 10.

Blackjack Experiment Result of hit (11 vs D10)
There is not really a big difference between both results.
The losing percentage includes some busted hands.
If you really dislike the bust, I recommend you choose double down.


The results except for a tie

are as follows:

Winning Percentages
Double Down 51%    Hit 52%

The chip's fluctuation
Double Down +9 chips    Hit +3 chips


To sum up, it is difficult to say clearly which choice is better to win.
Why don't you choose double down if you feel it's a lucky day for you?


That's all.
I hope this article will be useful.
If you like, please give me comments, thanks.
Bye.


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2017年6月20日火曜日

[Pontoon,Spanish 21] 14 vs Dealer's 2


Pontoon (Spanish 21) Strategy


Isn't it difficult to hit hard 14?
hard 14 against Dealer's 2 in Pontoon

In the basic strategy of Pontoon, hit is recommended.
But most players would choose stand on it as in Blackjack.
I don't understand why the BS says hit.

I conducted a Pontoon experiment to calculate the winning percentages for both choices.
In the video, the number of trials is 20.
After recording it, I collected more 80 data.

Results of the experiment

The following two graphs show the results based on the 100 data.
Pontoon Experiment Result (14 vs D2)
Although this game is Pontoon and we don't use 10's cards, the winning rate is despairing.
The graph may imply that the winning rate in Blackjack is worse than the one in Pontoon.
So we should definitely stand on hard 14 against D's 2 in Blackjack.

Pontoon Experiment Result (14 vs D2)
This graph shows not only the winning rate, but also the probability of the dealer's busted.
In brief, the dealer's hand busts at a rate of 30% if he starts with 2.
In addition, we could expect the dealer's hand to bust more than in Pontoon.


The results except for a tie

 are as follows:


Winning Percentages
Hit 30%    Stay 30%


To sum up, it is difficult to make a decision on which to choose, hit or stay.

I have a good suggestion.
What about hitting 4 or more-card-14, 6&8-14, etc?
If we can take a card of 7 in those situations, we will get some bonus chips.

Bonus Chance 1    4-card-14
Example of Bonus Chance in Pontoon

 Bonus Achievement 1     5-card-21
Bonus Achievement in Pontoon

Bonus Chance 2    6&8-14
Example of Bonus Chance in Pontoon

Bonus Achievement 2    678-21
Bonus Achievement in Pontoon

Bonus Chance 3    6&8 with spades-14
Example of Bonus Chance in Pontoon

Bonus Achievement 3    678 with spades-21
Bonus Achievement in Pontoon

As far as I know, under Aussie style,

the odds are 3 to 2 at 5-card-21, 678-21, 777-21.

the odds are 2 to 1 at 6-card-21, 678 (same suits)-21, 777 (same suits)-21.

the odds are 3 to 1 at 7-card-21, 678 (spades)-21, 777 (spades)-21



However, the house is needed to be religious for players.
If you can see a 6-5 blackjack table, I guess you couldn't find any good Pontoon table.


That's all.
I updated twice today.
Enjoy your Pontoon.
Take care.


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