Odds of...

[ND1991]

Two players having a pocket pair at a 9 man table??? Too tired to figure it out myself!

[villaridge]

gonna say rare.here is what a quick search on the web showed up about 2 players getting AA on a ten handed. also to tired to figure it out further, lol:

Let's take another viewpoint now and ask the following: Suppose you are playing a 10-handed hold'em game and upon looking at your two hole cards, you find A-A. What is the probability another player also has been dealt pocket aces?
This is now a question involving conditional probability and you must be careful. Even though the probability, as we just saw, for two people to be dealt pocket aces is small, the result may be quite different once the condition that someone has aces is given.
The total number of completions to player semideals is given by the product of and 17!! because we are choosing 18 cards from 50 to be dealt to the other nine players, and there are 17!! ways to partition the 18 cards into nine hands of two cards each. Then set aside the remaining two aces to go into another hand. For the other eight hands, we are choosing 16 cards from 48 and partitioning the 16 cards in 15!! ways to form completions.
This gives us completions to player semideals with another pair of pocket aces. Dividing the second number by the first gives us a probability of 9/1,225 that someone else also has been dealt pocket aces. Expressed as a decimal, the probability is about .00735, and expressed as an Egyptian fraction, the probability is about 1/136.


Therefore, if you are dealt pocket aces, the odds against another player also having pocket aces is about 135-to-1.

[Logan]

Well, i see one of those 135 to 1

and this is how i kick the ass to both

[villaridge]

ROFLMAO

And what are the odds of that?

[Logan]

i have about 13% chances to win, versus 2-3% to win that both have, and the rest more than 82% was a tie between them (and lose by me).

I guess because non of both can improve to trips, and with two different cards i have chance of hit trips of K or J, and also better chance to hit a str8.

So, 13 times of 100 i going to win, and they going to end tie 82 times, and just 2 o r 3 from 100 one of the two going to win.

Strange, but in this hand i have more chance to win than they, they have mostly chance to tie or lose, but no so much chance to actually win the hand.

Still is better to get tie 80 times than lose 80 times, so thanks to poker gods to let me win this one, but next time i preffer be in the other site

[nb1961]

You know as soon as you see the other player has AA too that it's all going to go wrong, here is me matching up AA and going up against KK of course the KK won

[kingjames07]

never mind all the chances and percentages...im wondering why logan called 2 all ins preflop with KJ off???....lol

[PLAYFUL1]

YAH LOGAN WHY WHY YOU CALL WITH KJ AFTER 2 ALL INS ???? EITHER UR A FOOL OR A NATURAL DONK ... JUST KIDDING

[NoWuckingFurries]

Actually the OP didn't ask what the odds were of two people having THE SAME pocket pair.

[Logan]

I cant answer why i call that, game happen some months ago.

Maybe was short stack, maybe some of the guys was pushing all the time, maybe i need to go, or like funny guys say, "i feel that going to win the hand"

The true is that i don't know, only thing that remember is that was a 2ble or nothing, probably was playing 2 or more games, or drunk or was just my natural stupid donkey lucky game