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Poker Forums => The Rail => Topic started by: Mango99 on March 23, 2007, 05:07:29 PM



Title: Question about Odds.
Post by: Mango99 on March 23, 2007, 05:07:29 PM
If I put 3 players into a festival and we all get drawn to play the same day, what are the odds that we all get drawn on the same table?

Say for this example there are 155 players on the first day, tables of 10 (and some 9's obv).


Title: Re: Question about Odds.
Post by: AndrewT on March 23, 2007, 05:54:18 PM
My attempt at this.

I assume 155 players and a ten seat table.

The chances of you taking your seat and finding your three backees is.

(3/154 * 2/153 * 1/152) * 84 = 7105/1

84 being the number of arrangements of three people at a nine seat table

9x8x7
  3x2


Title: Re: Question about Odds.
Post by: SuffolkPunch on March 23, 2007, 06:01:53 PM
My attempt at this.

I assume 155 players and a ten seat table.

The chances of you taking your seat and finding your three backees is.

(3/154 * 2/153 * 1/152) * 84 = 7105/1

84 being the number of arrangements of three people at a nine seat table

9x8x7
  3x2


Exactly what I was about to say  ;joestrummer;


Title: Re: Question about Odds.
Post by: Mango99 on March 23, 2007, 06:21:58 PM
My attempt at this.

I assume 155 players and a ten seat table.

The chances of you taking your seat and finding your three backees is.

(3/154 * 2/153 * 1/152) * 84 = 7105/1

84 being the number of arrangements of three people at a nine seat table

9x8x7
  3x2


Aha, thanks for the answer :)

I actually meant 3 of us in total. Please can you do the math again lol :D Or is that what your the above has worked out already?


Title: Re: Question about Odds.
Post by: Sheriff Fatman on March 23, 2007, 06:38:40 PM
There's a mathematical answer to this question and the 'as seen at the WSOP 2005' answer, where people were allocated seats as they registered for the event.  Consequently, groups of friends who registered together often found themselves at the same table.

I recall this from feedback made about the early events (as I was over there at the time).  I think they might have sorted things out by the time of the main event.



Title: Re: Question about Odds.
Post by: tikay on March 24, 2007, 11:44:11 AM
My attempt at this.

I assume 155 players and a ten seat table.
The chances of you taking your seat and finding your three backees is.

(3/154 * 2/153 * 1/152) * 84 = 7105/1

84 being the number of arrangements of three people at a nine seat table
9x8x7
  3x2


Surely, the multiplier is 120, as we assumed a 10 seat table at the head of the equation?


Title: Re: Question about Odds.
Post by: RED-DOG on March 24, 2007, 11:49:18 AM
Does anyone have anything heavy that they require lifting?


Title: Re: Question about Odds.
Post by: AndrewT on March 24, 2007, 11:52:32 AM
My attempt at this.

I assume 155 players and a ten seat table.
The chances of you taking your seat and finding your three backees is.

(3/154 * 2/153 * 1/152) * 84 = 7105/1

84 being the number of arrangements of three people at a nine seat table
9x8x7
  3x2


Surely, the multiplier is 120, as we assumed a 10 seat table at the head of the equation?

You're already sitting in one of the seats. You're trying to work out the odds that three of the nine other seats are filled by your guys.

EDIT: Thinking about it again, I'm not 100% sure that's a correct assumption to make. But it's Saturday and I'm not spending my day thinking about A-Level maths questions.


Title: Re: Question about Odds.
Post by: ariston on March 24, 2007, 11:53:26 AM
why do you guys have to make things so complicated. Whichever table you get drawn on your 2 friends have to be drawn on as well. There are either 9 or 8 seats left on your table (depending on a ten or 9 handed table) and they have to occupy 2 of these.
9/154 x 8/153 = 325.5-1 on a ten handed table
8/154 x 7/152 = 418-1 on a 9 handed table

If there are an equal number of 9 and ten handed table giving you an equal chance of being drawn on a 9 or ten handed table we can just work out the mean average of the 2 figures giving you odds of 371.75-1 of being drawn on the same table table as you 2 mates.


Title: Re: Question about Odds.
Post by: KingPoker on March 24, 2007, 11:55:10 AM
Does anyone have anything heavy that they require lifting?

LMFAO!!!


Title: Re: Question about Odds.
Post by: ariston on March 24, 2007, 12:02:23 PM
in fact thinking sensibly if there were 155 runners then that would be 11 ten handed and 5 nine handed tables so a mean average is no good.

(11x325.5)+(5x418)/16= 354.41 so the odds of being drawn on the same table as your 2 mates is 354.41-1.


Title: Re: Question about Odds.
Post by: tikay on March 24, 2007, 12:04:41 PM
in fact thinking sensibly if there were 155 runners then that would be 11 ten handed and 5 nine handed tables so a mean average is no good.

(11x325.5)+(5x418)/16= 354.41 so the odds of being drawn on the same table as your 2 mates is 354.41-1.


But he has 3 mates.......


Title: Re: Question about Odds.
Post by: I KNOW IT on March 24, 2007, 12:10:57 PM
Very high in the Grovesnor, as I believe there is a glitch in there random draw software. I told them this about 12 months ago as in about 12 tournys me and a mate were drawn on the same table every time. I think its if you enter at the same time

as for the true mathmatical equation I cant be arsed to work it out


Title: Re: Question about Odds.
Post by: ariston on March 24, 2007, 12:15:19 PM
in fact thinking sensibly if there were 155 runners then that would be 11 ten handed and 5 nine handed tables so a mean average is no good.

(11x325.5)+(5x418)/16= 354.41 so the odds of being drawn on the same table as your 2 mates is 354.41-1.


But he has 3 mates.......

read the thread granddad. A few posts down he says he meant himself and 2 mates. Another Tikay missread lol


Title: Re: Question about Odds.
Post by: KingPoker on March 24, 2007, 12:18:42 PM
 rotflmfao 


Title: Re: Question about Odds.
Post by: Horneris on March 24, 2007, 01:24:46 PM
If I put 3 players into a festival and we all get drawn to play the same day, what are the odds that we all get drawn on the same table?

Pretty Unlikely.


Title: Re: Question about Odds.
Post by: Mango99 on March 27, 2007, 01:05:38 AM
Thanks for all the answers. I think 354.41-1 'feels' about right...


Title: Re: Question about Odds.
Post by: Rupert on March 27, 2007, 04:32:55 AM
ariston is right
weighted mean is expert as well


Title: Re: Question about Odds.
Post by: bobby1 on March 27, 2007, 05:17:34 AM
When I was a lad we played snooker all day, you guys must have really wasted your childhoods to be sooooo good at math....... :o


Title: Re: Question about Odds.
Post by: bobby1 on March 27, 2007, 05:19:19 AM
off the top of my head i reckon its about 40 reds 40 blacks and a total clearance of the colours.