Deucekies
Deucekies
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October 3rd, 2022 at 2:07:33 PM permalink
Once again beckoning to those who are more math-oriented than I am.

What are the odds of the following two baccarat scenarios...

1) The Banker is leading the Player after the fifth card, but must still draw a card according to the rules.

2) The Banker loses as a result of this draw.

Thanks!
Casinos are not your friends, they want your money. But so does Disneyland. And there is no chance in hell that you will go to Disneyland and come back with more money than you went with. - AxelWolf and Mickeycrimm
TigerWu
TigerWu
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October 3rd, 2022 at 2:10:41 PM permalink
I don't know what the odds are, but I freakin' hate when that happens when I'm on Banker.....
ThatDonGuy
ThatDonGuy 
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October 3rd, 2022 at 5:52:04 PM permalink
Quote: Deucekies

Once again beckoning to those who are more math-oriented than I am.

What are the odds of the following two baccarat scenarios...

1) The Banker is leading the Player after the fifth card, but must still draw a card according to the rules.

2) The Banker loses as a result of this draw.

Thanks!
link to original post


I ran a simulation on millions of 8-deck shoes, and I get that this happens about once every 292 hands
Deucekies
Deucekies
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Joined: Jan 20, 2014
October 3rd, 2022 at 6:52:00 PM permalink
Quote: ThatDonGuy

Quote: Deucekies

Once again beckoning to those who are more math-oriented than I am.

What are the odds of the following two baccarat scenarios...

1) The Banker is leading the Player after the fifth card, but must still draw a card according to the rules.

2) The Banker loses as a result of this draw.

Thanks!
link to original post


I ran a simulation on millions of 8-deck shoes, and I get that this happens about once every 292 hands
link to original post



The first scenario or the second?
Casinos are not your friends, they want your money. But so does Disneyland. And there is no chance in hell that you will go to Disneyland and come back with more money than you went with. - AxelWolf and Mickeycrimm
ThatDonGuy
ThatDonGuy 
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October 3rd, 2022 at 7:36:10 PM permalink
Quote: Deucekies

Quote: ThatDonGuy

Quote: Deucekies

Once again beckoning to those who are more math-oriented than I am.

What are the odds of the following two baccarat scenarios...

1) The Banker is leading the Player after the fifth card, but must still draw a card according to the rules.

2) The Banker loses as a result of this draw.

Thanks!
link to original post


I ran a simulation on millions of 8-deck shoes, and I get that this happens about once every 292 hands
link to original post



The first scenario or the second?
link to original post


The second.
Ace2
Ace2
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October 3rd, 2022 at 8:23:09 PM permalink
Should be fairly easy to calculate this but I don’t have time right now
It’s all about making that GTA
Deucekies
Deucekies
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October 4th, 2022 at 12:31:52 AM permalink
Quote: ThatDonGuy

Quote: Deucekies

Quote: ThatDonGuy

Quote: Deucekies

Once again beckoning to those who are more math-oriented than I am.

What are the odds of the following two baccarat scenarios...

1) The Banker is leading the Player after the fifth card, but must still draw a card according to the rules.

2) The Banker loses as a result of this draw.

Thanks!
link to original post


I ran a simulation on millions of 8-deck shoes, and I get that this happens about once every 292 hands
link to original post



The first scenario or the second?
link to original post


The second.
link to original post



Thanks! Does your simulation shed any light on the first one?
Casinos are not your friends, they want your money. But so does Disneyland. And there is no chance in hell that you will go to Disneyland and come back with more money than you went with. - AxelWolf and Mickeycrimm
ssho88
ssho88
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Deucekiesgordonm888
October 4th, 2022 at 1:48:28 AM permalink
I get this :-

1) 282,836,187,017,472 / 4,998,398,275,503,360 = 0.0565853642363041

2) 17,093,578,788,864 / 4,998,398,275,503,360 = 0.0034198112768720

The exact value of the denominator should be 4,998,398,275,503,366
ThatDonGuy
ThatDonGuy 
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October 4th, 2022 at 6:25:17 PM permalink
Quote: Deucekies

Thanks! Does your simulation shed any light on the first one?
link to original post


Yes - the bank is ahead after a player draws but then must also draw about once in every 17.67 hands.

The main difference between my simulated numbers and ssho88's exact ones: ssho88 assumes the shoe is always full, while I run through each shoe.
Deucekies
Deucekies
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October 4th, 2022 at 9:17:20 PM permalink
Quote: ThatDonGuy

Quote: Deucekies

Thanks! Does your simulation shed any light on the first one?
link to original post


Yes - the bank is ahead after a player draws but then must also draw about once in every 17.67 hands.

The main difference between my simulated numbers and ssho88's exact ones: ssho88 assumes the shoe is always full, while I run through each shoe.
link to original post



Thanks! And thank you to ssho88 as well. Your numbers are very much in line with each other.
Casinos are not your friends, they want your money. But so does Disneyland. And there is no chance in hell that you will go to Disneyland and come back with more money than you went with. - AxelWolf and Mickeycrimm
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