How many ACES?

[Herb N.]

I sit down in the main game and watch pocket Aces take down a nice pot.I comment:nice to see the best hand win..Next hand I got pocket ACES&win..Next hand nothing..Next hand I gots ACES,so does other guy who wins with a flush[4 hearts on board]..NEXT HAND I gots pocket ACES & win..pocket Aces 6 times in 6 hands What the chances?I got em 3 times& lose money...WHAT A COUNTRY! [img]/forums/images/icons/confused.gif[/img]

what kind of deck were u playing with?

If you got a pair of aces six times in six hands in holdem -- the apriori probability is about one in 116507435287321 (or 1 in 527182965101 after first getting a pair of wired aces). That is remarkable. Losing like you did is very possible and things like that happen to every poker player if you play a lot.

what kind of deck were u playing with?

If you got a pair of aces six times in six hands in holdem -- the apriori probability is about one in 116507435287321 (or 1 in 527182965101 after first getting a pair of wired aces). That is remarkable. Losing like you did is very possible and things like that happen to every poker player if you play a lot.

[irchans]

> If you got a pair of aces six times in six hands in holdem -- the apriori probability is about one in 116507435287321 ...

I would have thought that the probability of getting aces six times in a row would be (12/1326)^6 ~= 1/(1.8 10^12) or about 1 in two trillion.

( [img]/forums/images/icons/cool.gif[/img] Informative Note -->> two trillion is approximately the number of cubic millimeters of water in the nearest four person hot tub.)

Getting the 5 ace pairs out of 6 would be 6*(12/1326)^5*(1-12/1326) which is approximately 1 in 3 billion.

"I would have thought that the probability of getting aces six times in a row would be (12/1326)^6 ~= 1/(1.8 10^12) or about 1 in two trillion. "
Before the fact (apriori): the probability of getting wired aces : 4/52 * 3/51 = 1/221,
and
(1/221)^6 = 1 / (116,507,435,287,321) =
1/(1.16507435287321 * 10^14)

[irchans]

Read the question again guys. 6 pairs of aces, for the entire table, in 6 hands. One hand no aces, another 2 sets of rockets. Although this probability is small, it's a lot larger than the numbers you guys are throwing around.

[MD_]

In a ten handed game, the odds that one or more players will have pocket aces in 6 particular hands is about 1 in 113 million. Note that it doesn't matter that they're consecutive, just they theye are particular hands.

-MD

This would be P(1)^6 (see above) = .0449188^6 = 1 in 122 million.

[BruceZ]