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-   -   odds of getting a pocket pair 3x in a row (http://archives2.twoplustwo.com/showthread.php?t=304795)

mulebennett 07-31-2005 09:50 PM

odds of getting a pocket pair 3x in a row
 
sitting at a 10-handed hold'em game, what are the odds of being dealt three straight pocket pairs? i can't remember the last time i was dealt three in a row.. thanks for the numbers as always

TomCollins 07-31-2005 10:15 PM

Re: odds of getting a pocket pair 3x in a row
 
3/51^3. = .02%, or 4912-1

I saw someone get a pocket pair 3 times in a row, and flop a set all 3 times. What are the odds of THAT?

PS- He lost 2 of the hands, and split one.

cwes 07-31-2005 10:16 PM

Re: odds of getting a pocket pair 3x in a row
 
The probability of getting a pp is 1/17.

Before you get dealt the first hand, the probability, that the next three hands will be pps is just (1/17)^3 = (1/4913).

After you've been dealt the first pp the probability that the next two hands also will be pps is (1/17)^2 = (1/289).

If you already had two pps in a row the probability of getting a third is the probability of getting a pp i.e. 1/17.

So you expect this (three pps in a row) to occur every 4913 hands you play. Shouldn't be too rare. It just happened to me yesterday (KK,QQ,JJ, two of them were good [img]/images/graemlins/smile.gif[/img] ).

Tuben 08-01-2005 01:06 AM

Re: odds of getting a pocket pair 3x in a row
 
I got QQ,QQ,KK,AA,AA,AA in one sesion played like 2 hours.

Won 2 of thoose AA: 2 times rest a lost.

08-01-2005 03:23 AM

Re: odds of getting a pocket pair 3x in a row
 
I once drew pocket aces on 2 hands in a row, then skipped a hand, then got aces again. I won one pre-flop, one on the flop, and busted a player on the third AA.

08-01-2005 08:42 AM

Re: odds of getting a pocket pair 3x in a row
 
The other day I got five pocket pairs in a row. I ended up not tripping on any of them but still won 3/5.

sekrah 08-01-2005 09:45 AM

Re: odds of getting a pocket pair 3x in a row
 
Had it happen to me this weekend.

Had Q-Q and K-K cracked on back to back hands at a 1/2 NL game at Seneca Allagany.

I asked the dealer to wash the deck,. next hand, 8-8, and I flop a set of 8's to win a pot.

sekrah 08-01-2005 09:46 AM

Re: odds of getting a pocket pair 3x in a row
 
In an empire limit game, I got A-A, A-A, A-K on 3 consecutive hands. I lost both times with the A-A to K-3 (flush) and K-4 (flopped boat k-4-4), then I won with the A-K, on Ace-high.

spaminator101 08-01-2005 03:19 PM

Re: odds of getting a pocket pair 3x in a row
 
1/18cubed=1/5832

spaminator101 08-01-2005 03:22 PM

Re: odds of getting a pocket pair 3x in a row
 
its 17 to 1 or 1/18 so you cube 18 not17


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