robertb
robertb
Joined: Apr 24, 2019
  • Threads: 4
  • Posts: 11
December 4th, 2019 at 4:08:55 PM permalink
Hi wizzard,

How many hands (teoretically) is max. to play in 6 deck baccarat game with a rule that player must hit on 5?
Last 7 cards will be dealt, if black (cutting) card is first!

Best regards,
Berni
ThatDonGuy
ThatDonGuy
Joined: Jun 22, 2011
  • Threads: 106
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December 4th, 2019 at 5:32:00 PM permalink
Assuming you don't burn any cards off the top, I'm running a simulation, and after about 350 million shoes, the most I have been able to get is 68 hands

Note that the theoretical maximum is 77 - there are 312 cards in the shoe; 76 4-card hands leaves 8 cards in the shoe, and the next hand reduces it to 4 or fewer. However, that does not mean that a 77-hand shoe is possible; it just means that a 78-hand shoe is not.
unJon
unJon
Joined: Jul 1, 2018
  • Threads: 14
  • Posts: 3008
December 4th, 2019 at 5:33:22 PM permalink
Quote: ThatDonGuy

Assuming you don't burn any cards off the top, I'm running a simulation, and after about 350 million shoes, the most I have been able to get is 68 hands

Note that the theoretical maximum is 77 - there are 312 cards in the shoe; 76 4-card hands leaves 8 cards in the shoe, and the next hand reduces it to 4 or fewer. However, that does not mean that a 77-hand shoe is possible; it just means that a 78-hand shoe is not.



Offhand Iím not sure itís possible to have 76 hands where thereís never a drawn card.
The race is not always to the swift, nor the battle to the strong; but that is the way to bet.
ThatDonGuy
ThatDonGuy
Joined: Jun 22, 2011
  • Threads: 106
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December 4th, 2019 at 5:39:09 PM permalink
Quote: unJon

Offhand Iím not sure itís possible to have 76 hands where thereís never a draw.


I think there is.
Each rank has 24 cards in a 6-deck shoe.
In the first 24 hands, the player is dealt 4-5, for a natural 9 - no draw.
In the next 24, the player is dealt 3-6 - again, a natural 9, so no draw.
In the next 24, the player is dealt 2-7 - again, a natural 9, so no draw.
In the last five, the player is dealt 10-9.
77 hands, all of which have the player being dealt a 9, so there are 4 cards per hand.
unJon
unJon
Joined: Jul 1, 2018
  • Threads: 14
  • Posts: 3008
December 4th, 2019 at 5:42:18 PM permalink
Quote: ThatDonGuy

I think there is.
Each rank has 24 cards in a 6-deck shoe.
In the first 24 hands, the player is dealt 4-5, for a natural 9 - no draw.
In the next 24, the player is dealt 3-6 - again, a natural 9, so no draw.
In the next 24, the player is dealt 2-7 - again, a natural 9, so no draw.
In the last five, the player is dealt 10-9.
77 hands, all of which have the player being dealt a 9, so there are 4 cards per hand.



Good call.

Think how much MDawg would win on that shoe!
The race is not always to the swift, nor the battle to the strong; but that is the way to bet.

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