vpbob2000
vpbob2000
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October 27th, 2010 at 4:19:09 PM permalink
In a 9 handed full ring hold'em game, what are the odds of flopping a set against flopped quads?
mkl654321
mkl654321
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October 27th, 2010 at 6:17:22 PM permalink
Quote: vpbob2000

In a 9 handed full ring hold'em game, what are the odds of flopping a set against flopped quads?



Given that one player has flopped quads, there is only one card available for the other player (who, presumably, has a pocket pair). There are 46 possible cards that could appear as that third card, and two of them give the other player a set. So, 1 in 23.
The fact that a believer is happier than a skeptic is no more to the point than the fact that a drunken man is happier than a sober one. The happiness of credulity is a cheap and dangerous quality.---George Bernard Shaw
Aussie
Aussie
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October 27th, 2010 at 7:13:28 PM permalink
0 chance because you will have flopped a full house.
rdw4potus
rdw4potus
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October 27th, 2010 at 7:27:10 PM permalink
100% if the quads don't include a pocket pair.
"So as the clock ticked and the day passed, opportunity met preparation, and luck happened." - Maurice Clarett
thecesspit
thecesspit
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October 27th, 2010 at 9:15:45 PM permalink
Quote: rdw4potus

100% if the quads don't include a pocket pair.



Doesn't a set imply a pocket pair, whereas trips implies a single card matched with a pair on the flop?
"Then you can admire the real gambler, who has neither eaten, slept, thought nor lived, he has so smarted under the scourge of his martingale, so suffered on the rack of his desire for a coup at trente-et-quarante" - Honore de Balzac, 1829
Ayecarumba
Ayecarumba
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October 28th, 2010 at 6:11:37 PM permalink
Quote: thecesspit

Doesn't a set imply a pocket pair, whereas trips implies a single card matched with a pair on the flop?



I use the terms interchangeably.
Simplicity is the ultimate sophistication - Leonardo da Vinci
mkl654321
mkl654321
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October 28th, 2010 at 6:16:29 PM permalink
Quote: Ayecarumba

I use the terms interchangeably.



I used to, until I was told by a couple of players in no uncertain terms that a "set" was specifically three of a kind using a pocket pair.

It makes sense to dintinguish the terms, since a "set" is well concealed, whereas "trips" are not.
The fact that a believer is happier than a skeptic is no more to the point than the fact that a drunken man is happier than a sober one. The happiness of credulity is a cheap and dangerous quality.---George Bernard Shaw
Ayecarumba
Ayecarumba
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October 28th, 2010 at 6:25:33 PM permalink
Quote: mkl654321

Given that one player has flopped quads, there is only one card available for the other player (who, presumably, has a pocket pair). There are 46 possible cards that could appear as that third card, and two of them give the other player a set. So, 1 in 23.



I think the OP intended to ask, "What are the odds of these two things happening simultaneously?":

1- Two players are dealt pocket pairs.
2 - The flop contains a pair matching one player's hold cards; and a singleton, matching the other player's hole cards.
Simplicity is the ultimate sophistication - Leonardo da Vinci
Ayecarumba
Ayecarumba
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October 28th, 2010 at 6:27:40 PM permalink
Quote: mkl654321

I used to, until I was told by a couple of players in no uncertain terms that a "set" was specifically three of a kind using a pocket pair.

It makes sense to dintinguish the terms, since a "set" is well concealed, whereas "trips" are not.



Thanks mkl! I'll have to ask about this at my local card room. I think this would be a good poll question. I'll set it up.
Simplicity is the ultimate sophistication - Leonardo da Vinci
vpbob2000
vpbob2000
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October 28th, 2010 at 6:34:03 PM permalink
Quote: Ayecarumba

I think the OP intended to ask, "What are the odds of these two things happening simultaneously?":

1- Two players are dealt pocket pairs.
2 - The flop contains a pair matching one player's hold cards; and a singleton, matching the other player's hole cards.



Exactly. Sorry for the confusion. I think I'm approximating the answer, and that the answer depends on how many players see the flop. The more players who see the flop, the greater the chance of this event (after the flop, one player at the table holds a full house while another holds quads).

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