HA on Banker at Bacc

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I was thinking about the HA on the Bank at bacc which authorities including the Wiz quote at 1.06% and it confused me a little bit

I used two different online calculators to get the R.O.I. and got 2 different answers as shown in the image - one of them calculates it a different way

this is the answer from the first calculator which gave the traditional answer - 1.06% - R.O.I. I believe is the same thing as the HA

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and this is the answer from the 2nd calculator which figures it in a different way and gets the R.O.I. as -2.5% - this is how I was thinking about it - actually your return amount would be slightly greater because the win % is 50.68% not 50% as I used - so the HA would be slightly less but that cannot account for the difference

actually I did a 2nd calculation to account for the 50.68% and got the return amount as $196.29 and that gives the HA or R.O.I. as a slightly lower -1.855%





why do these 2 calculators give different answers_____________?_________________thanks


the links are the 2 different online calculators that I used:


https://www.omnicalculator.com/finance/roi


https://www.gamingtoday.com/tools/roi/



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Quote: lilredrooster

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1.06% is right. Ties matter in the computation. You can look at my code here:

https://researchers.one/doc/61a90587ec1251c54f18ea35

bad post deleted


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Quote: teliot

Quote: lilredrooster

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1.06% is right. Ties matter in the computation. You can look at my code here:

https://researchers.one/doc/61a90587ec1251c54f18ea35
link to original post

thanks for your answer

you say ties matter

but if you look at the first calculator it didn't consider ties - it uses the win % as 50.68% which does not consider ties

so how could it get the same answer as you who are considering ties____________?

hunh_____________???????______________I don't get it____________I couldn't open your file on my PC -

and I still don't know why the 2nd calculator got a completely different answer


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Quote: lilredrooster

it uses the win % as 50.68% which does not consider ties

Honestly, I don't care enough to answer you. Hopefully someone else will care more.

You are actually making mistakes with both of the calculators.

In the first one, you are entering the odds as -105. This is your 210 against the casino's 200, as opposed to your 200 against the casino's 190, which is -105.26316.

In the second one, you are entering 195 as the "returned amount." It should be 390 x 0.5068, or 197.652.

Both of these now return an ROI of -1.17%.

Quote: ThatDonGuy

You are actually making mistakes with both of the calculators.

In the first one, you are entering the odds as -105. This is your 210 against the casino's 200, as opposed to your 200 against the casino's 190, which is -105.26316.

In the second one, you are entering 195 as the "returned amount." It should be 390 x 0.5068, or 197.652.

Both of these now return an ROI of -1.17%.
link to original post

"Both of these now return an ROI of - 1.17%"

which is still quite a bit different than the traditionally quoted - 1.06 % also quoted by the Wizard (see link) also shown by the first calculator (although it actually shows - 1.05% it think just due to rounding)

-1.06 was also quoted by teliot in one of the above posts


https://wizardofodds.com/gambling/house-edge/


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Quote: lilredrooster

"Both of these now return an ROI of - 1.17%"

which is still quite a bit different than the traditionally quoted - 1.06 % also quoted by the Wizard (see link) also shown by the first calculator (although it actually shows - 1.05% it think just due to rounding)

-1.06 was also quoted by teliot in one of the above posts

https://wizardofodds.com/gambling/house-edge/

It's -1.06% if you take ties into account.
The expected return, if ties are included, is 0.458597 x 390 (for a bank win) + 0.095156 x 200 (for a tie) = 197.88403.
The ROI is (197.88403 - 200) / 200 = -1.06%.

If you use this return value in the Omni calculator, you get a ROI of -1.06%.

You can't use the Gaming Today calculator to calculate this as it cannot take into acccount the possibility that the bet will be a tie - and if you ignore ties (i.e. all ties must be rebet, repeatedly if necessary, until you win or lose), the ROI is -1.17%.

Quote: ThatDonGuy

Quote: lilredrooster

"Both of these now return an ROI of - 1.17%"

which is still quite a bit different than the traditionally quoted - 1.06 % also quoted by the Wizard (see link) also shown by the first calculator (although it actually shows - 1.05% it think just due to rounding)

-1.06 was also quoted by teliot in one of the above posts

https://wizardofodds.com/gambling/house-edge/

It's -1.06% if you take ties into account.
The expected return, if ties are included, is 0.458597 x 390 (for a bank win) + 0.095156 x 200 (for a tie) = 197.88403.
The ROI is (197.88403 - 200) / 200 = -1.06%.

If you use this return value in the Omni calculator, you get a ROI of -1.06%.

You can't use the Gaming Today calculator to calculate this as it cannot take into acccount the possibility that the bet will be a tie - and if you ignore ties (i.e. all ties must be rebet, repeatedly if necessary, until you win or lose), the ROI is -1.17%.
link to original post

okay, great answer - thanks

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