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Dealt 3 Pocket Pairs, Flopped 3 Sets. What are the chances?

  
 
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Old 08-07-2008, 02:19 AM     Post subject: Dealt 3 Pocket Pairs, Flopped 3 Sets. What are the chances? #1 (permalink)  

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I was playing my weekly home game and on the first three hands, my friend was dealt three pocket pairs...99, 44, and QQ respectively. She flopped sets on all three of those hands!! Kudos to someone who can come up with the math and display it in chance percentage or "# to 1" form of being dealt 3 pocket pairs and flopping 3 sets! I am just curious. I'm thinking it's around 20,000 to 1 or something like that...never seen this in my 2 years of playing!
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Old 08-07-2008, 02:40 AM #2 (permalink)  
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Old 08-07-2008, 02:44 AM #3 (permalink)  
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Old 08-07-2008, 03:10 AM #4 (permalink)  
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Live poker is so rigged
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Ragnar4
Old 08-07-2008, 03:32 AM #5 (permalink)  
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Ironically,

The odds of that happening are the same as her catching those 4 pocket pairs and NOT getting a set,

Or having the first one miss, but the middle one hit, but the last one miss.

DUCY?
The older I get, the more I start wondering; Just what in the hell is going on here?
 
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overflow
Old 08-07-2008, 05:13 AM #6 (permalink)  
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Old 08-07-2008, 05:15 AM #7 (permalink)  
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The odds of that happening are about 3.65 million to 1.
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Old 08-07-2008, 05:19 AM #8 (permalink)  
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BTW the odds of her being dealt 3 pp's in a row and not flopping a set with any of them is a tad less than 7000 : 1.
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Jack Sawyer
Old 08-07-2008, 08:29 AM #9 (permalink)  
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so you will now go 3.65 million times being dealt 3 pocket pairs without flopping a set

STBY
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Old 08-07-2008, 08:50 AM #10 (permalink)  
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overflow
Old 08-07-2008, 02:32 PM #11 (permalink)  
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Quote:
Originally Posted by Jack Sawyer
so you will now go 3.65 million times being dealt 3 pocket pairs without flopping a set

STBY
No, the chances of you getting dealt pocket pairs in each of three consecutive hands and flopping a set each time are 3.65e6:1

The odds of having 3 consecutive PPs and NOT flopping a set with any of them are 7000:1 against. The clarification I would like to get however is if the meaning of this is that every 7000 hands you expect this to happen once or every 7000 iterations of 3 hands (or 21,000 hands) you expect this to happen once.
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Old 08-07-2008, 02:38 PM #12 (permalink)  
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Quote:
Originally Posted by overflow
Quote:
Originally Posted by Jack Sawyer
so you will now go 3.65 million times being dealt 3 pocket pairs without flopping a set

STBY
No, the chances of you getting dealt pocket pairs in each of three consecutive hands and flopping a set each time are 3.65e6:1

The odds of having 3 consecutive PPs and NOT flopping a set with any of them are 7000:1 against. The clarification I would like to get however is if the meaning of this is that every 7000 hands you expect this to happen once or every 7000 iterations of 3 hands (or 21,000 hands) you expect this to happen once.
ok my maths is ropey at best but surely you can just repeat each iteration or whatever every hand. ie your second - fourth hands of the day this happens doesn't count as a fail so you'd expect it to happen once every 7k hands amiright?
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Old 08-07-2008, 03:21 PM #13 (permalink)  
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why was he dealt three hands at the same time?

Smithers, use the amnesia ray.
You mean the revolver, sir?
Precisely.
 
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Old 08-07-2008, 04:50 PM #14 (permalink)  

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Quote:
Originally Posted by overflow
The odds of that happening are about 3.65 million to 1.
WOW! Thank you for the answer overflow I didn't think the odds were that serious!!
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Kid Style
Old 08-07-2008, 04:52 PM #15 (permalink)  

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Quote:
Originally Posted by a500lbgorilla
why was he dealt three hands at the same time?
No the first three hands in our home game, she was dealt 3 pocket pairs and all 3 times she flopped sets.
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sil693
Old 08-07-2008, 04:57 PM #16 (permalink)  
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Quote:
Originally Posted by Kid Style
Quote:
Originally Posted by a500lbgorilla
why was he dealt three hands at the same time?
No the first three hands in our home game, she was dealt 3 pocket pairs and all 3 times she flopped sets.
i lol'd irl.
 
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Kid Style
Old 08-07-2008, 06:09 PM #17 (permalink)  

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Quote:
Originally Posted by sil693
Quote:
Originally Posted by Kid Style
Quote:
Originally Posted by a500lbgorilla
why was he dealt three hands at the same time?
No the first three hands in our home game, she was dealt 3 pocket pairs and all 3 times she flopped sets.
i lol'd irl.
I thought it was quite hilarious too actually. Once she was dealt hand #3 she started cracking up pre-flop as well.

BTW, we've been playing for 2 years and she happens to be a losing player, so I hardly doubt the hands were rigged. But you never know....
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Irisheyes
Old 08-07-2008, 07:28 PM #18 (permalink)  
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Quote:
Originally Posted by Kid Style
Quote:
Originally Posted by sil693
Quote:
Originally Posted by Kid Style
Quote:
Originally Posted by a500lbgorilla
why was he dealt three hands at the same time?
No the first three hands in our home game, she was dealt 3 pocket pairs and all 3 times she flopped sets.
i lol'd irl.
I thought it was quite hilarious too actually. Once she was dealt hand #3 she started cracking up pre-flop as well.

BTW, we've been playing for 2 years and she happens to be a losing player, so I hardly doubt the hands were rigged. But you never know....

Wow, you take toilet breaks and stuff though right?? Man I love poker and all but I don't think I could play for that long. How many games is that!?
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a500lbgorilla
Old 08-08-2008, 12:44 AM #19 (permalink)  
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iRICHeyes would know.

Smithers, use the amnesia ray.
You mean the revolver, sir?
Precisely.
 
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zook
Old 08-09-2008, 03:20 PM #20 (permalink)  
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Robb
Old 08-09-2008, 04:39 PM #21 (permalink)  
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Quote:
Originally Posted by Kid Style
Quote:
Originally Posted by overflow
The odds of that happening are about 3.65 million to 1.
WOW! Thank you for the answer overflow I didn't think the odds were that serious!!
There's a flaw in this thinking. Overflow is calculating the probability of being dealt pp's and flopping the set 3x.

But we wouldn't start counting until we hit the second one. The first "one is a row" is irrelevant.

The probability of flopping two sets in a row is 0.000056, which is just as likely to happen after flopping a set as it as after flopping air.

BTW, the probability you're trying to estimate above is more like 4.19 million to 1, if you use exact probabilities.
 
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Deanglow
Old 08-09-2008, 05:30 PM #22 (permalink)  
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the odds are she played them all terrible iyam
 
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Old 08-09-2008, 10:32 PM #23 (permalink)  
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Originally Posted by Deanglow
the odds are she played them all terrible iyam
now that was funny
 
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