Superpal
Superpal
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January 4th, 2015 at 3:56:38 AM permalink
With allowances that deals are often only 4 or 5 cards , do any statistics exist on how often the Banker will receive a sixth and final card in an 8 deck shoe ?
ssho88
ssho88
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January 4th, 2015 at 5:57:37 AM permalink
Are you trying to find a counting system for a side bet ? LOL .

I will send you the answer if you let me know the sidebet details. PM ME.

There are ONLY few casinos in your area, it's not that difficult to locate it.
ThatDonGuy
ThatDonGuy
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January 4th, 2015 at 6:36:21 AM permalink
Based on simulation, 31.78% of the hands appear to be six-card hands.
ssho88
ssho88
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January 4th, 2015 at 6:42:49 AM permalink
31.7687%
ThatDonGuy
ThatDonGuy
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January 5th, 2015 at 7:16:35 AM permalink
Quote: ssho88

31.7687%


I get 31.7535% (1 in 3.1492575 hands) if you always go from the first six known cards of the shoe.
Specifically, 315,635,031 / 994,016,023.
ssho88
ssho88
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January 5th, 2015 at 8:00:26 AM permalink
Quote: ThatDonGuy

I get 31.7535% (1 in 3.1492575 hands) if you always go from the first six known cards of the shoe.
Specifically, 315,635,031 / 994,016,023.



8 deck, the probability of hand end with 6 cards = 1,587,927,855,264,000/4,998,398,275,503,360 = 0.317687340571933

I think your answer is for 6 deck shoe.
ThatDonGuy
ThatDonGuy
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January 5th, 2015 at 9:15:03 AM permalink
Quote: ssho88

8 deck, the probability of hand end with 6 cards = 1,587,927,855,264,000/4,998,398,275,503,360 = 0.317687340571933

I think your answer is for 6 deck shoe.


You are correct - it is for a 6-deck shoe.

8 decks reduces to 3018415175 / 9501213267 = 0.31768734057, which matches your number. (Your numerator and denominator share a factor of 28 x 3 x 5 x 137.)
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