justpoker100
justpoker100
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July 25th, 2011 at 3:18:19 AM permalink
Hi If i was to make a new casino card game how would i work out the house egde.
odiousgambit
odiousgambit
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July 25th, 2011 at 3:22:38 AM permalink
No one can just reply here and give you an answer to something like that.

I would start with studying how Craps HE is determined. It may seem daunting to you, but Craps lends itself well to this, compared to card games. If indeed it seems too much, you are just going to have to pay someone to do an analysis.
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s2dbaker
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July 25th, 2011 at 3:30:04 AM permalink
Quote: justpoker100

Hi If i was to make a new casino card game how would i work out the house egde.

Odiousgambit, you're reading far too much into the question. The answer is simple. Just count up how much the casino would pay out when a player wins and subtract the amount that the casino would collect when the player loses. If the difference is negative then the house has an edge. Divide that amout by the total bet for all outcomes and you have the house edge.
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SOOPOO
SOOPOO
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July 25th, 2011 at 3:45:57 AM permalink
Quote: justpoker100

Hi If i was to make a new casino card game how would i work out the house egde.



There are a lot of nice, bright people on this site. Depending on how complicated the rules and payouts are, it might be a few minutes of calculations. If the game is more complex with multiple decision points then it is possible a complex 'basic strategy' would have to be developed before a house edge could be calculated. As an example, it would only take me a few minutes to give you a house edge on any craps bet, but it is well beyond my ability to do the same for any blackjack variant. If you define the exact rules and payouts someone may be willing to help you out. The simple answer is that you need to understand statistics at a high level.
justpoker100
justpoker100
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July 25th, 2011 at 3:50:30 AM permalink
Hi so basiclly i would have to play out say 1 million hands of the game betting the same everytime to come up with the house edge ajusting the game rules depending on the outcome. Also are the odds of getting a straight flush with six decks of cards (24/311)x(12/310)= 190/1

thanks
SOOPOO
SOOPOO
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July 25th, 2011 at 4:03:55 AM permalink
Quote: justpoker100

Hi so basiclly i would have to play out say 1 million hands of the game betting the same everytime to come up with the house edge ajusting the game rules depending on the outcome. Also are the odds of getting a straight flush with six decks of cards (24/311)x(12/310)= 190/1

thanks



If you play out a large number of hands you will approach the actual odds, but if you want the exact odds only math can do that for you. Also, when you ask a question, you will need to be more specific. You should ask, (If I know what you are trying to ask), 'given six decks with no jokers, being dealt 5 cards with no draw, what are the odds of being dealt a straight flush?'. Actually, I guess you are trying to figure out 3 card poker. I think that since K A 2 does not count as a straight flush perhaps the odds are slightly longer.
justpoker100
justpoker100
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July 25th, 2011 at 4:51:47 AM permalink
Fair enough maybe i should have been more specific. Yeah 3 Card poker with 6 decks is what im trying too figure out. I was more concenred about the maths equation and weather it was right or wrong.
CrystalMath
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July 25th, 2011 at 7:01:44 AM permalink
Quote: justpoker100

Fair enough maybe i should have been more specific. Yeah 3 Card poker with 6 decks is what im trying too figure out. I was more concenred about the maths equation and weather it was right or wrong.



I think the correct calculation is:

combin(4,1)*combin(12,1)*combin(6,1)^3 / combin(312,3)

combin(4,1) = pick a suit
combin(12,1) = pick a high card for the straight flush
combin(6,1)^3 = pick one of the six available cards for each card in the straight flush
combin(312,3) = total number of ways to deal 3 cards out of 6 decks (*edit, 312 was incorrectly listed as 52, although the final answer is unaffected)

This yields 1:483
I heart Crystal Math.
justpoker100
justpoker100
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July 25th, 2011 at 8:15:40 AM permalink
Thanks for that. Can you just explain ^3 dont get that also. Can you explain "combin(52,3) = total number of ways to deal 3 cards out of 6 decks" dont understand that either.

Thanks
dwheatley
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July 25th, 2011 at 8:29:35 AM permalink
You probably need to know that ^3 means raising a number to the 3rd power (cube) before you start designing and marketing new casino games.

Here is the 'combin' function
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CrystalMath
CrystalMath
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July 25th, 2011 at 8:42:11 AM permalink
Quote: justpoker100

Thanks for that. Can you just explain ^3 dont get that also. Can you explain "combin(52,3) = total number of ways to deal 3 cards out of 6 decks" dont understand that either.

Thanks



Oops, that should have been combin(312,3). Sorry about that. I'm going to go edit the previous post now.
I heart Crystal Math.
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