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Wizard
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Wizard 
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December 8th, 2017 at 3:28:16 PM permalink
The Palace Station is doing a field trial of the game Three Card Prime. It looks like the same thing as Three Card Poker with a modified Pairplus bet and a new side bet called the Prime.

The Pair Bonus works like the Pairplus in Three Card Poker, except if there is any win, a fourth dummy card is used to possible increase the win. If this dummy card is a deuce, then the wins are increased. Otherwise, they are the pays on the usual Pairplus pay table with a Mini Royal. Please note that this deuce is not part of the hand and not wild. It is just a way to win more automatically if it is a deuce.

The new side bet is the Prime. I think I've seen this on some other Galaxy game because I know I've analyzed it before. It pays 3-1 if all three player cards are the same color, except 4-1 if all six cards, between the player and dealer hands are the same color.

Here is my math:

Pair Bonus

Event Pays Combinations Probability Return
Mini royal with deuce 75 16 0.000015 0.001108
Mini royal without deuce 50 180 0.000166 0.008311
Straight flush with deuce 50 168 0.000155 0.007757
Straight flush without deuce 40 1,988 0.001836 0.073432
Three of a kind with deuce 40 204 0.000188 0.007535
Three of a kind without deuce 30 2,344 0.002165 0.064937
Straight with deuce 8 2,760 0.002549 0.020390
Straight without deuce 6 32,520 0.030030 0.180183
Flush with deuce 4 4,128 0.003812 0.015248
Flush without deuce 3 49,576 0.045781 0.137342
Pair with deuce 2 14,112 0.013032 0.026063
Pair without deuce 1 169,344 0.156380 0.156380
All other -1 805,560 0.743891 -0.743891
Total 1,082,900 1.000000 -0.045205



Prime

Event Pays Combinations Probability Return
Six-card prime 4 9,209,200 0.022618 0.090470
Three-card prime 3 86,595,600 0.212677 0.638030
Loser -1 311,365,600 0.764706 -0.764706
Total 407,170,400 1.000000 -0.036206


Can anyone confirm or deny?

The question for the poll is would you play Three Card Prime?
Last edited by: Wizard on Dec 8, 2017
It's not whether you win or lose; it's whether or not you had a good bet.
beachbumbabs
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beachbumbabs
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December 8th, 2017 at 3:44:07 PM permalink
What is the Prime bet? All the cards in your hand, or yours and the dealers, have to be prime numbers?

If so, does the three card prime win for all bettors if only the dealers hand is prime? Do they count an ace as a prime of 1? Are all faces non-prime and therefore 10s, or do they assign rank values, which would make the queen prime at 11, but the jack and king even (ace is high-only in 3CP, so I suppose an ace could also be 13).

All of that feels forced. I like the relatively lower HE on both sidebets, but not sure I'd play.
If the House lost every hand, they wouldn't deal the game.
Wizard
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Wizard 
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December 8th, 2017 at 3:54:46 PM permalink
Quote: beachbumbabs

What is the Prime bet?



Sorry, I just added to my post rules of the Prime bet.
It's not whether you win or lose; it's whether or not you had a good bet.
Wizard
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Wizard 
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December 8th, 2017 at 4:07:49 PM permalink
I forgot to mention you can play Three Card Prime at the Galaxy web site.
It's not whether you win or lose; it's whether or not you had a good bet.
miplet
miplet
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December 8th, 2017 at 7:12:21 PM permalink
I can deny your pair bonus. Combin(52,3)*49=1,082,900
“Man Babes” #AxelFabulous
Wizard
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Wizard 
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December 8th, 2017 at 10:01:00 PM permalink
Quote: miplet

I can deny your pair bonus. Combin(52,3)*49=1,082,900



You're right. Thank you. I forgot to take out the mini royals from the straight flushes.
It's not whether you win or lose; it's whether or not you had a good bet.
Wizard
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Wizard 
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December 11th, 2017 at 12:25:30 PM permalink
I didn't notice that the Ante bonus pays more if the player loses. The way they phrase it is there is no more Ante bonus but the Play bet pays according to the following pay table if the player wins:

Mini royal: 10
Straight flush: 6
Three of a kind: 5
Straight: 2
Flush or less: 1

The pays for a straight flush, three of a kind, and a straight are doubled if the player loses. The player must beat or tie the dealer to win the Play bet with a flush or less.

Stay tuned for my analysis.
It's not whether you win or lose; it's whether or not you had a good bet.
Wizard
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Wizard 
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December 11th, 2017 at 4:57:36 PM permalink
Okay, my new page on Three Card Prime is ready to preview. As usual, I welcome all questions, comments, and especially corrections.
It's not whether you win or lose; it's whether or not you had a good bet.
JB
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JB
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December 11th, 2017 at 9:56:24 PM permalink
I can confirm the numbers for the Prime Bet.
Wizard
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Wizard 
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December 12th, 2017 at 6:41:52 AM permalink
Quote: JB

I can confirm the numbers for the Prime Bet.



Thank you.
It's not whether you win or lose; it's whether or not you had a good bet.

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