mopnz2000
mopnz2000
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April 11th, 2011 at 12:03:43 AM permalink
Four tables playing Texas Holdem. It got down to the final table. 5 players. Because it was a final table we had a dealer.

Cards were dealt, the lowest chipped player called ALL IN, the rest all followed. Everyone was ALL IN.

When the dealer got everyone to turn their cards over we had the following:-

1 with pocket 10's
1 with pocket 4's
1 with pocket 6's
1 with pocket Q's
1 with pocket Aces

With the flop NOT ONE PERSON GOT TRIPS.... the winner was the 10's with a straight. Two others got paid because they had the highest chips. Two were gone.

I would like to know what the odds were with 5 plays and 52 cards ALL GETTING A PAIR. Can you help. It was amazing.
ChesterDog
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April 11th, 2011 at 1:30:55 AM permalink
Quote: mopnz2000

...the odds were with 5 plays and 52 cards ALL GETTING A PAIR...



I get about 1 in 1,493,840.
WizardofEngland
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April 11th, 2011 at 3:35:28 AM permalink
Was this the first hand dealer dealt? Was this fairly late in the evening/early morning?

I have heard stories of dealers stacking a deck so the game ends quickly.
http://wizardofvegas.com/forum/off-topic/general/10042-woes-black-sheep-game-ii/#post151727
DorothyGale
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April 11th, 2011 at 4:36:00 AM permalink
Quote: ChesterDog

I get about 1 in 1,493,840.

Confirmed, but that assumes that the pairs are of different ranks. You didn't allow for the case that the pairs can also be of the same rank.

Allowing players to have pairs of the same rank as each other for their pairs gives 1 in 1,268,018.

--Ms. D.
"Who would have thought a good little girl like you could destroy my beautiful wickedness!"
DJTeddyBear
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April 11th, 2011 at 4:42:07 AM permalink
Quote: mopnz2000

Because it was a final table we had a dealer.

Sounds like a home game or league game.

Odd stuff happens more in home and league games simply because there's less at stake so more people tend to stay in the hand.

Also, they tend to have less skilled players.


A couple years ago, my wife was in league game with a similar hand where there were two all-ins and one caller. All three had pocket pairs. The flop gave all three a set, and was suited. The next two cards matched the suit, resulting in a flush on board. Chop pot.
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? 😁
WizardofEngland
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April 11th, 2011 at 6:00:21 AM permalink
Quote: DJTeddyBear

A couple years ago, my wife was in league game with a similar hand where there were two all-ins and one caller. All three had pocket pairs. The flop gave all three a set, and was suited. The next two cards matched the suit, resulting in a flush on board. Chop pot.



And none of the three had a matching suit higher than a community card?

EDIT, if it gave all three a set, they couldn't have a matching suit. :-s D'oh. But thats so rare!
http://wizardofvegas.com/forum/off-topic/general/10042-woes-black-sheep-game-ii/#post151727
ChesterDog
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April 11th, 2011 at 10:42:22 AM permalink
Quote: DorothyGale

Confirmed, but that assumes that the pairs are of different ranks. You didn't allow for the case that the pairs can also be of the same rank.

Allowing players to have pairs of the same rank as each other for their pairs gives 1 in 1,268,018.

--Ms. D.



Thanks; I did miss that. But when I try to get your value of 1 in 1,268,018, I get 1 in 1,255,523. For two players having identical ranks, I get 1 in 8,066,737, and for two pairs of two players, I get 1 in 322,669,492.
buzzpaff
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April 11th, 2011 at 11:36:29 AM permalink
What I find amazing is that 4 other players would call the all in player, Can Ii assume this game was not for money ??
DorothyGale
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April 11th, 2011 at 11:41:12 AM permalink
Quote: ChesterDog

Thanks; I did miss that. But when I try to get your value of 1 in 1,268,018, I get 1 in 1,255,523.

I made a small boo boo.

--Ms. D.
"Who would have thought a good little girl like you could destroy my beautiful wickedness!"
rdw4potus
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April 11th, 2011 at 12:20:04 PM permalink
Quote: buzzpaff

What I find amazing is that 4 other players would call the all in player, Can Ii assume this game was not for money ??



I wondered the same thing. I assume the 4s and 6s belonged to two of the smaller chip-stacks at the table. The aces and queens would have called just about any all-in. I don't know what to say about the 10s. Maybe that player felt priced-in after the two people in front of him went all-in?
"So as the clock ticked and the day passed, opportunity met preparation, and luck happened." - Maurice Clarett
buzzpaff
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April 11th, 2011 at 12:26:32 PM permalink
I have even allowed for a variety of stacks and strategies. Mu only answer is play money.
DJTeddyBear
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April 11th, 2011 at 12:49:56 PM permalink
It was final table, and ALL players went All-In.

As I mentioned before, because of the comment "We were down to 5 players and had a dealer..." lead me to believe that it was a home game or a league where there isn't normally a dealer at every table.

That being the case, I assume that the players simply wanted to end it already. Whether this was a verbal decision, or just happened that way, is irrelevant.
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? 😁
mopnz2000
mopnz2000
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April 15th, 2011 at 4:22:50 AM permalink
Thanks for your input everyone. It was a league game, $20 entry fee per person. The pot was split into 3, 1st to 3rd place. So prize money was around $360 split 3 ways.

The dealer runs the league, several clubs in the area are involved, league members around the 500 mark so his reputation would have been in tatters if he had split the cards, I can vouch for his honesty. It was not the first hand at the last table because 9 players ended up on that table but only 5 were left.

I suppose I am still gob smacked that this came up that is why I was so interested.

Anyway, your response great, and thanks for the odds.
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