sodawater
sodawater
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September 8th, 2012 at 11:01:52 PM permalink
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Pokeraddict
Pokeraddict
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September 8th, 2012 at 11:55:35 PM permalink
Maybe I don't understand your question but it seems obvious to me you would want a boat. You put the pair in the front and trips in the back. With three pair you still have a pair in front but only have twp pair in back. I guess if you have three pair then you are likely to have a bigger pair but your question does not specify pairs so I guess trips>two pair in back.
sodawater
sodawater
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September 8th, 2012 at 11:57:52 PM permalink
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98Clubs
98Clubs
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September 9th, 2012 at 4:03:22 AM permalink
However... the trips in the 5-card hand are ALWAYS better than Two Pairs in the 5-card hand.

If given the choice of a Set + Pair or TwoPair + Pair, I'll take the Set + pair every time.
Some people need to reimagine their thinking.
SOOPOO
SOOPOO
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September 9th, 2012 at 4:05:36 AM permalink
Quote: sodawater

well my point is that each of the hands you get is random. i think i would rather have a random 3-pair hand rather than a random full house. my reasoning being that with 3 pair, you play the low 2-pair in the back and your front hand is very likely to be a high pair. with a random full house you can push a lot as half the pairs will be low pairs.



I would agree with your analysis. But I would guess they are quite similar, as your two pair will lose to all dealer three of a kinds, and some dealer two pairs. That would partially offset the added value of your having a higher pair in the low hand.
DJTeddyBear
DJTeddyBear
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September 9th, 2012 at 6:49:12 AM permalink
Three pair. No question about it.


Your back hand, whether it be trips or two pair, is always vulnerable to something better. How often is the "something better" going to merely be trips rather than a straight or flush or merely a better two pair/trips?

If the dealer's hand is weak, it's irrelevant if you have two pair or trips in back, but important that you have a stronger front.

Having three pair means you're always playing a high pair up front, which has a high percentage of winning, making your over-all win percentage higher.
I invented a few casino games. Info: http://www.DaveMillerGaming.com/ 覧覧覧覧覧覧覧覧覧覧覧覧覧覧覧覧覧覧 Superstitions are silly, childish, irrational rituals, born out of fear of the unknown. But how much does it cost to knock on wood? 😁
FinsRule
FinsRule
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September 9th, 2012 at 8:13:45 AM permalink
It's probably full house - but really close.

A random full house would average to a set of 8's with a pair of 8's. Impossible I know.

A random 3 pair would average to around 8's and 5's with a pair of J's.

So comparing those two hands and using the WOO power chart, the full house is slightly better.

I didn't really factor in the joker, which helps 3 pair's case more. My official guess is that it's really really close, with a slight edge to full house.

Of course, I'll take the boat because I usually throw $1-$2 on the bonus every hand.
SOOPOO
SOOPOO
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September 9th, 2012 at 8:34:33 AM permalink
Quote: DJTeddyBear

Three pair. No question about it.



The more I think about it, the more I am convinced it is three pair. With 5 aces in the deck the top pair will disproportionally be aces. Also, the distribution will NOT be equal in the top pair. You will have far more kings up than any lower pair, far more queens up than any lower pair, and NEVER deusces or treys, and rarely 4,s 5's or 6's. I would bet that you would either have q's, k's, or aces up top well in excess of 50% of the time.
Tiltpoul
Tiltpoul
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September 9th, 2012 at 9:56:06 AM permalink
Quote: DJTeddyBear

Three pair. No question about it.



This is not based on math or anything but personal experience, which is of course, limited to a very finite number of hands. An expert such as Paigowdan, mustangsally, or even the Wiz himself will have the statistically correct answer shortly...

However, I LOSE or push on 3 pair WAY more often than I win on them. It must have something to do with card distribution, but I can honestly say that if I get 3-pair in a session on average two or three times, I only win once on it. I have pushed more times than I can count, and I've had some notable losses on them, mainly a pair of Aces in the low hand that lost to a dealer full house, three of a kind in the back and aces up.

I usually half-joke with the dealer when I get three pair that I hope to get a push. He/She will say "Nah, that's a winning hand" only to pull a straight or flush or higher two pair, or a higher pair up front. They just shake their head... me, I'm glad when I do push that hand.

Give me a full house EVERY day.
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Pokeraddict
Pokeraddict
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September 9th, 2012 at 12:26:20 PM permalink
Quote:

I didn't really factor in the joker, which helps 3 pair's case more. My official guess is that it's really really close, with a slight edge to full house.



The joker also helps the FH hand. If the front pair is 2's and the player has the joker (or ace) and a king the right play is to play the boat in the back. I would even maybe switch it to play AQ or even replace 3's or 4's with AK and play the boat in the back.

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