gnobile0711
gnobile0711
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June 5th, 2011 at 8:42:48 PM permalink
Caesars Entertainment (all Las Vegas properites only) are now offering 3 Card Poker with 6 card bonus and a chance to win $1 Miillion.

Here's the catch - players must bet the '6 card bonus' spot and get a 6 card SUPER Royal Flush of diamonds.

Question: What is the probability of getting such a hand? I assume it's equilivant to winning PowerBall or MegaMillions (195 Million to 1 and 175 Million to 1, respectively). thanks!
s2dbaker
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June 5th, 2011 at 8:51:54 PM permalink
Quote: gnobile0711

Caesars Entertainment (all Las Vegas properites only) are now offering 3 Card Poker with 6 card bonus and a chance to win $1 Miillion.

Here's the catch - players must bet the '6 card bonus' spot and get a 6 card SUPER Royal Flush of diamonds.

Question: What is the probability of getting such a hand? I assume it's equilivant to winning PowerBall or MegaMillions (195 Million to 1 and 175 Million to 1, respectively). thanks!

=combin(52,6) = 20,358,520
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Doc
Doc
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June 6th, 2011 at 6:30:13 AM permalink
That sounds like a house advantage of about 95.1%. Didn't someone say that there is a regulatory limit on the edge in Nevada, or is that just for slots?
Switch
Switch
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June 6th, 2011 at 6:33:31 AM permalink
Quote: Doc

That sounds like a house advantage of about 95.1%. Didn't someone say that there is a regulatory limit on the edge in Nevada, or is that just for slots?



Doc, they include other payouts as well, for other permutations of hands. I believe that 24% is the max' edge allowed on the side-bets.
Doc
Doc
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June 6th, 2011 at 6:58:00 AM permalink
Quote: Switch

Doc, they include other payouts as well, for other permutations of hands. I believe that 24% is the max' edge allowed on the side-bets.


Thanks for the clarification. I just interpreted the part saying, "players must bet the '6 card bonus' spot and get a 6 card SUPER Royal Flush of diamonds" as being what must happen to win. It didn't seem reasonable, but I didn't see any explanation.
DJTeddyBear
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June 6th, 2011 at 7:09:34 AM permalink
Here's ShuffleMaster's news release.

Here's the payouts:
6 Card Bonus Hand
Payout
6-Card Super Royal - Diamonds
$1,000,000
6-Card Super Royal - Hearts
$100,000
6-Card Super Royal - Spades
$100,000
6-Card Super Royal - Clubs
$100,000
5-Card Royal Flush
1000 to 1
5-Card Straight Flush
200 to 1
Four of a Kind
50 to 1
Full House
20 to 1
5-Card Flush
15 to 1
5-Card Straight
10 to 1
Three of a Kind
5 to 1

Note that the 6 card hands pay fixed amounts.
I invented a few casino games. Info: http://www.DaveMillerGaming.com/ ————————————————————————————————————— Superstitions are silly, childish, irrational rituals, born out of fear of the unknown. But how much does it cost to knock on wood? 😁
buzzpaff
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June 6th, 2011 at 8:59:32 AM permalink
The 6 Card Bonus™ side bet on Three Card Poker gives players the chance to win $1 million with a total wager as small as $15 if they hit a Super Royal in Diamonds: 9, 10, J, Q, K, A.

Would not a player actually have to have a $30 bet to be eligible ??
Ayecarumba
Ayecarumba
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June 6th, 2011 at 9:47:21 AM permalink
Quote: buzzpaff

The 6 Card Bonus™ side bet on Three Card Poker gives players the chance to win $1 million with a total wager as small as $15 if they hit a Super Royal in Diamonds: 9, 10, J, Q, K, A.

Would not a player actually have to have a $30 bet to be eligible ??



$10 ante + $5 bonus bets, with the bonus paying regardless of whether or not the additional $10 "play" wager is made?
Simplicity is the ultimate sophistication - Leonardo da Vinci
buzzpaff
buzzpaff
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June 6th, 2011 at 10:02:59 AM permalink
With the number of tables featuring this side bet all going on the floor at once, Shufflemaster is definitely the 800lb Gorilla in the room! Any chance of the internet ( paco) posting how big their influence is in gaming ???????????????????????????????
Wizard
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Wizard
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June 6th, 2011 at 10:18:12 AM permalink
Here is my unconfirmed analysis. This is based on a $5 bet. The top two wins are capped at 1M and 100K respectively, so the house edge goes up for bets over $5. I assume the player gets to keep his original bet for the top two awards, not that it makes much difference.

Hand Pays Combinations Probability Return
6-Card Super Royal - Diamonds 200,000 1 0.00000005 0.00982390
6-Card Super Royal 20,000 3 0.00000015 0.00294717
5-Card Royal Flush 1,000 184 0.00000904 0.00903799
5-Card Straight Flush 200 1,656 0.00008134 0.01626837
Four of a Kind 50 14,664 0.00072029 0.03601441
Full House 20 165,984 0.00815305 0.16306097
5-Card Flush 15 205,792 0.01010840 0.15162595
5-Card Straight 10 361,620 0.01776259 0.17762588
Three of a Kind 5 732,160 0.03596332 0.17981661
All other -1 18,876,456 0.92720178 -0.92720178
Total 20,358,520 1.00000000 -0.18098054
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Doc
Doc
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June 6th, 2011 at 11:53:02 AM permalink
I guess some people will play, but I don't like the idea of wagers with an 18% house edge. Junk bets like that, maybe throw a dollar on every once in a while, but to have it $5 min would not seem reasonable except on tables that otherwise have $25 or higher minimum bets (so that it involves players who might consider $5 a throw-away amount).

If the pay table were revised to add a 6-card flush paying 75 and to up the payout of the Four of a Kind to 100 (or 150), I think that would give a house edge of 11.97% (or 8.37%). That's getting closer to what I would expect for side bets that actually get played. But then, I'm not a game designer.
Nareed
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June 6th, 2011 at 3:41:07 PM permalink
FWIW when I played 3CP at Bally's last year, the rules stated you got paid ont he six card bonus even if you folded. So you didn't have to put up the play bet. Table minnimum midweek in the afternook was $5.

I don't recall whether you could make just the ante and 6 card bonus bets, or whether you also had to make the pair+ bet. But I lean towards the latter. So at a $5 table you'd lay $15 to $20 per hand
Donald Trump is a fucking criminal
teddys
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June 6th, 2011 at 9:03:54 PM permalink
Speaking of capping payouts, I was playing Let-it-Ride (I know, I know...) at the Avi Casino in Laughlin, and noticed they capped their individual payouts at $10,000, including the bonus bet, which pays $10,000 for $1 on a royal. So if you hit that, you would get absolutely nothing for your regular L-I-R royal, or your three card bonus bet. I was so disgusted by that, I left, even though I wasn't playing the bonuses.
"Dice, verily, are armed with goads and driving-hooks, deceiving and tormenting, causing grievous woe." -Rig Veda 10.34.4
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