I'll take a whack at it and Fletch can correct it if I screw it up.

The odds depend on what specifically you are looking for.  The question is, do you want to know what the odds of it happening in a random set of 4 hands, or do you want to know the likelihood of it happening again within 3 hands once it has already happened?

Assuming full ring, every 25,921,000 hands you should see quad 5s occur twice within 4 hands.   After they are dealt, the odds of it happening again within 3 hands is 2939.4:1. 

The odds of it happening in a given hand (FR) are 1 in 8818.3 (see next question).  Once that has already happened, you have 3 chances to repeat the act in the following 3 hands; i.e. 3/8818.3 or 1/2940.4.  In essence, you've already had an unusual event happen once, and only need it to recur once instead of twice.  The second figure is simply the first divided by that same 8818.3, because we are already assuming that that first hand is the 5555 occurence.
 


The odds of ending up with quads in a HE hand is 1 in 6105.  The odds of it being specifically 5555 is one-thirteenth of that (as there are 13 different ranks), so 1/(6105 x 13) = 1/79365.  With 9 hands dealt at the table, it becomes 9/79365 (or 1 in 8818.3) that any given full ring hand will have quad 5s.

One thing to consider though... to be fair, we really should consider any repeating quads (and not just 5555) as just as noteworthy.  Therefore in the same span of time it takes to see this, we can expect to see other repeating quads (4444, 7777, etc.) at the same frequency.  I would assume you'd consider that just as unique, so in reality the odds of a similar event happening are 13 times more likely.
 
Above paragraph simplified:  it takes 26 million hands for this to happen with 5s; but in that time it should happen with every other card rank as well.  so you'll see it happen with some card rank about every 2 million hands.


 

Yes, correct on all counts.  1 in 17 to get a pocket pair (specifically, once your first card is dealt, there are 3 that match it of the remaining 51, therefore odds of pairing are 3/51 or 1/17).  Odds of it being a specific pair is that 1/17 X 1/13 (as there are 13 different ranks); 1/ (17 x 13) = 1/221.

I think this kinda ties in, so I'm gonna leave it.

The odds in your case are gonna be pretty astronomical, paint.  I'm about to step out, but I'll take a crack at figuring it for ya later.

You know I checked that site out this morning.   I have not had time to digest what has been posted yet.   I have tables open now and am using my old computer to do this  

In a round of 200 hands you will see more odds of 1:1000000 hitting than 1:10. Its BS. Last hand I got Koed with. Both blinds. They flop fullhouse I flop trips. Allways some BS hand to go out on. Its never AA vs KK and KK loses. Its KK hits a set or some worst odd wins more than upper hand should win.

Todays games.
2nd hand blind on blind I lose flop trips to flopped fullhouse I lose
1st hand allin AKs Vs 55 and 37 I lose
1st hand flop A,6,10 I have A6 I got re-raised all in by AK,10 hits the river.
Allin Q6 pair of Queens on flop AJ calls allin and A hits turn.
near 100% Ahead and 100% Lose

Online poker is rigged. Its a joke. Look at this bs. I cant even win with a pair yet I can hit two pair,trips, anything and still cant win with even stronger hands. Its just rigged.

Yet you still play it....

I'm also into self asphyxiation - you gonna join me on that one?

Tonight my 2 games played.

Final 6 after folding and folding and finally playing a hand allin my AQ vs KQ Q flops then yes of course. The only one hand I patiently play and hit I must lose to a river K.
Final 4 after folding and folding and finally playing a hand allin my AQ vs 66. Flop Q48 then a 5 and then yes you know a 7 hits.

Suppose I still have made 4 from last 6 games ITM. 45 man but its still not right, I should be shipping every game.

Hand 1

Pre 73%
Flop 86%
Turn 93%
River 0%

Hand 2

pre 45%
Flop 89%
Turn 86%
River 0%

These odds allways happen final table when you playing very tight aggressive. And its usually the one hand you push has to be bs odds.

OMG. I just played another game. FINAL TABLE AGAIN AND GUESS WHAT HAPPENS. I BUBBLED OUT AND I KNEW I WOULD BUBBLE FROM THE FINAL TABLE AND I WAS BIG STACK AND I KNEW IT WOULD RIG. ALL SMALL STACKS KEPT DOUBLING UP AND AT ONE TIME 3 PLAYERS WERE ALLIN YET IT SPLIT SO THEY ALL GOT CHIPS BACK. EVERY AFTER THAT WAS PLAYING SO TIGHT IT WAS GOING FOR AGES UNTIL I PUSH AFTER WAITING AND WAITING AND WAITING PLAY YET AGAIN JUST ONE FKN HAND AND WHAT HAPPENS???
TAKE A GUESS?
IM ALLIN JJ UTG AND A IDIOT CALLS BB WITH K8?? AND HITS TRIP 8S?  ITS JUST RIGGED. I CAN SENCE THE LOSE AND ITS ALLWAYS ALLWAYS FINAL TABLES THE ONE HAND I PLAY APART FROM FLIPS HAS TO BE THE WORST ODDS OF WINNING WINS AND KOES ME.
I JUST SHOWING TONIGHTS ODDS ARE CROOKED. ITS RIGGED. ITS NOT JUST THE HANDS COMING, ITS WHY THESE BOTS ARE FOLDING EVERYTHING YET WILL JUST CALL MY HANDS  THE ONE HAND I PLAY AND THEY KNOW IM NOT MESSING AROUND.AND THE THING IS AS WELL, IM THE ONE PUSHING IM NOT CALLING, THEY ARE CALLING MY SHOVES.

preflop 72%
flop      79%
turn     88%
river     0%

so I am suppose to win a flip close 50/50 and I lose but im the one who pushed they cant fold KQ its the nuts
I  lose a 45% 73% and a 72% allin in 3 final table hands played in a row. odds are not correct even its a micro small sample just for one night.

Too bad for you and Phil there's luck involved.


An astounding 1 in 24 occurence.


This might be part of it too...

All sites are rigged.   Accept it,Embrace it.

obviously.

That easily explains why there are 45,000 posts here -- if it was totally random cards being dealt, there's no way that "rigged debate" thread would have gone on for so long, with so many solid contributions on both the Yea and the Nay sides.

This is not correct. Each card in the deck is a give a 1 in 52 chance of being dealt, minus the cards that have already been taken out. If there are 3 cards on the board and six players have been dealt in there is 1 in 37 chance of any other card being dealt. They don't choose suit then denomination then marry them up.


Very, very rarely does anyone have 1 out to win a hand. That situation just doesn't come up very often and you thinking it does probably goes a long way to why you think the deal is crooked.