$Freeroll NLHE: $ NLHE: One for all you mathematicians out there...

MrFold

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$Freeroll NL HE: $ NL HE: One for all you mathematicians out there...

What are the odds of this happening?
 

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absoluthamm

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1:15,511,210,043,330,985,984,000,000 to be exact. Actually, those are the odds of any random hand and board be dealt out at a 10-handed table
 
MrFold

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Just run that past me again. You're saying it's about 16 zillion to one? Any other views on this out there?
 
absoluthamm

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You have to be able to understand the math behind poker to understand this. It is a problem of permutations. In this hand, 10 people were dealt hands, adding up to 20 cards, and then there are another 5 on the board... totaling 25 cards out of the 52 card deck.

To calculate how many ways those 25 cards can be laid out, you take 25! (aka 25*24*23*22*21*20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1)
, which comes out to 15,511,210,043,330,985,984,000,000 different ways that the board and hands can be dealt at a 10 handed table.

If there were only a 3 handed game and all 3 of them were dealt AQ, then it would be 11!(11*10*9*8*7*6*5*4*3*2*1), or 1:39,916,800 deals
 
MrFold

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OK, thanks Hamm. I think that's clearer...
 
absoluthamm

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Haha, well you asked for math, I think I gave it to you, lol...
 
MrFold

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Just out of interest, how many illions are we talking about there? Is it quadrillions, quintillions or even more?
 
absoluthamm

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That would be 15.5 septillion, so, um.... a lot ;)
 
absoluthamm

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Haha... thats where math fails... one of the three should have placed a big bet and take aaaall the cake home :)

And just how did math make that fail?
 
TheNoob

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I once beaten 3 AK with Jacks.


Cool, but just a bit short of REALLY cool, JJ beating FOUR players with AK.

Silly villains, you have no outs!

(ok, unless 4 queens hit the board)


;)
 
absoluthamm

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Cool, but just a bit short of REALLY cool, JJ beating FOUR players with AK.

Silly villains, you have no outs!

(ok, unless 4 queens hit the board)


;)

Or quad 10's, 9's, 8's, 7's, 6's, 5's, 4's, 3's, or 2's hit the board, or Q-J-10 without pairing again, or if they were suited. Lol, I'm just being a dick, but they are possible.
 
P

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Cool, but just a bit short of REALLY cool, JJ beating FOUR players with AK.

Silly villains, you have no outs!

(ok, unless 4 queens hit the board)


;)

They had 2 outs, A and K and they could made straight/flush.
 
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