Poker math ?

ManyBeers

Platinum Member
Aug 30, 2004
2,519
1
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....how many 3-rank combinations are possible? That is, when the 5 board community cards are dealt how many 3 of a kind combinations are possible? For instance Board:2c,3h,2s,Jd,2h=3 deuces.
I am not looking for permutations just combinations. In other words a board of 2c,3h,2sJd,2h is equivalent to a board of 2h,3h,2c,Jd,2s. The order of the ranks arrival on the board does not matter. I think anyone who can solve this knows what i mean. Thanks in advance.

 

txrandom

Diamond Member
Aug 15, 2004
3,773
0
71
( 13 choose 1) * (4 choose 3) * (12 choose 2) * (4 choose 1) * (4 choose 1).

This doesn't include 4 of a kinds or full houses.

Edit: This also assumes that all 52 cards have an even chance to be drawn. Obviously cards that are already dealt to the players will have a lower chance of showing up.
 

ManyBeers

Platinum Member
Aug 30, 2004
2,519
1
81
Originally posted by: txrandom
( 13 choose 1) * (4 choose 3) * (12 choose 2) * (4 choose 1) * (4 choose 1).

This doesn't include 4 of a kinds or full houses.

Edit: This also assumes that all 52 cards have an even chance to be drawn. Obviously cards that are already dealt to the players will have a lower chance of showing up.

Look i am using peoples responses on here to double check my self, so if you don't mind would you please give an answer and not a formula.
 

txrandom

Diamond Member
Aug 15, 2004
3,773
0
71
Originally posted by: ManyBeers
Originally posted by: txrandom
( 13 choose 1) * (4 choose 3) * (12 choose 2) * (4 choose 1) * (4 choose 1).

This doesn't include 4 of a kinds or full houses.

Edit: This also assumes that all 52 cards have an even chance to be drawn. Obviously cards that are already dealt to the players will have a lower chance of showing up.

Look i am using peoples responses on here to double check my self, so if you don't mind would you please give an answer and not a formula.

Look i am just trying to help you, but now I won't.
 
Oct 20, 2005
10,978
44
91
Originally posted by: txrandom
Originally posted by: ManyBeers
Originally posted by: txrandom
( 13 choose 1) * (4 choose 3) * (12 choose 2) * (4 choose 1) * (4 choose 1).

This doesn't include 4 of a kinds or full houses.

Edit: This also assumes that all 52 cards have an even chance to be drawn. Obviously cards that are already dealt to the players will have a lower chance of showing up.

Look i am using peoples responses on here to double check my self, so if you don't mind would you please give an answer and not a formula.

Look i am just trying to help you, but now I won't.

LOL awesome! Txrandom for elite!
 

ManyBeers

Platinum Member
Aug 30, 2004
2,519
1
81
Originally posted by: txrandom
Originally posted by: ManyBeers
Originally posted by: txrandom
( 13 choose 1) * (4 choose 3) * (12 choose 2) * (4 choose 1) * (4 choose 1).

This doesn't include 4 of a kinds or full houses.

Edit: This also assumes that all 52 cards have an even chance to be drawn. Obviously cards that are already dealt to the players will have a lower chance of showing up.

Look i am using peoples responses on here to double check my self, so if you don't mind would you please give an answer and not a formula.

Look i am just trying to help you, but now I won't.

Well, i don't understand why you just didn't answer the question if you knew the answer.
 
Oct 20, 2005
10,978
44
91
Originally posted by: ManyBeers
Originally posted by: txrandom
Originally posted by: ManyBeers
Originally posted by: txrandom
( 13 choose 1) * (4 choose 3) * (12 choose 2) * (4 choose 1) * (4 choose 1).

This doesn't include 4 of a kinds or full houses.

Edit: This also assumes that all 52 cards have an even chance to be drawn. Obviously cards that are already dealt to the players will have a lower chance of showing up.

Look i am using peoples responses on here to double check my self, so if you don't mind would you please give an answer and not a formula.

Look i am just trying to help you, but now I won't.

Well, i don't understand why you just didn't answer the question if you knew the answer.

maybe b/c the way you asked him made it sound like you were demanding it rather than kindly asking.

Furthermore, if you bothered to put even a little effort, you could have done the calculation yourself given what txrandom gave you, but you're jsut one lazy person.
 

ManyBeers

Platinum Member
Aug 30, 2004
2,519
1
81
Originally posted by: dbk
Do your own homework, LOSER

I've already done it and want some confirmation on my answer.I'm 54 and this has nothing to do with homework. Loser.
 

ManyBeers

Platinum Member
Aug 30, 2004
2,519
1
81
Originally posted by: Capt Caveman
Aren't you a poker pro? Shouldn't you have this already memorized?

No this is just a self improvement math problem i am trying to do.
 

ManyBeers

Platinum Member
Aug 30, 2004
2,519
1
81
Originally posted by: Schfifty Five
Originally posted by: ManyBeers
Originally posted by: txrandom
Originally posted by: ManyBeers
Originally posted by: txrandom
( 13 choose 1) * (4 choose 3) * (12 choose 2) * (4 choose 1) * (4 choose 1).

This doesn't include 4 of a kinds or full houses.

Edit: This also assumes that all 52 cards have an even chance to be drawn. Obviously cards that are already dealt to the players will have a lower chance of showing up.

Look i am using peoples responses on here to double check my self, so if you don't mind would you please give an answer and not a formula.

Look i am just trying to help you, but now I won't.

Well, i don't understand why you just didn't answer the question if you knew the answer.

maybe b/c the way you asked him made it sound like you were demanding it rather than kindly asking.

Furthermore, if you bothered to put even a little effort, you could have done the calculation yourself given what txrandom gave you, but you're jsut one lazy person.

You think i am asking on here because i would understand his formula?
 

ManyBeers

Platinum Member
Aug 30, 2004
2,519
1
81
Originally posted by: purbeast0
i really hope you are not 54 cause you sound like you are 16.

Rather than insulting me why not act like an adult and offer something constructive to the thread.
 

Epic Fail

Diamond Member
May 10, 2005
6,252
2
0
Originally posted by: ManyBeers
Originally posted by: Schfifty Five
Originally posted by: ManyBeers
Originally posted by: txrandom
Originally posted by: ManyBeers
Originally posted by: txrandom
( 13 choose 1) * (4 choose 3) * (12 choose 2) * (4 choose 1) * (4 choose 1).

This doesn't include 4 of a kinds or full houses.

Edit: This also assumes that all 52 cards have an even chance to be drawn. Obviously cards that are already dealt to the players will have a lower chance of showing up.

Look i am using peoples responses on here to double check my self, so if you don't mind would you please give an answer and not a formula.

Look i am just trying to help you, but now I won't.

Well, i don't understand why you just didn't answer the question if you knew the answer.

maybe b/c the way you asked him made it sound like you were demanding it rather than kindly asking.

Furthermore, if you bothered to put even a little effort, you could have done the calculation yourself given what txrandom gave you, but you're jsut one lazy person.

You think i am asking on here because i would understand his formula?

How did you solve it if you don't understand his formula? Post your method of solving first and give us your answer.
 

purbeast0

No Lifer
Sep 13, 2001
53,544
6,368
126
Originally posted by: ManyBeers
Originally posted by: purbeast0
i really hope you are not 54 cause you sound like you are 16.

Rather than insulting me why not act like an adult and offer something constructive to the thread.

i could say the same for you.
 

ManyBeers

Platinum Member
Aug 30, 2004
2,519
1
81
Originally posted by: purbeast0
Originally posted by: ManyBeers
Originally posted by: purbeast0
i really hope you are not 54 cause you sound like you are 16.

Rather than insulting me why not act like an adult and offer something constructive to the thread.

i could say the same for you.

How have i insulted you?
 

Mr Pickles

Diamond Member
Feb 24, 2006
4,103
1
0
Originally posted by: ManyBeers
Originally posted by: MrLee
C

What?

Most of the time when I don't know the answer I just pick C. I can't leave the question blank. My teacher tells me that to leave an answer blank gives you a 100% chance to get it wrong.
 
Oct 20, 2005
10,978
44
91
Originally posted by: ManyBeers
Originally posted by: Schfifty Five
Originally posted by: ManyBeers
Originally posted by: txrandom
Originally posted by: ManyBeers
Originally posted by: txrandom
( 13 choose 1) * (4 choose 3) * (12 choose 2) * (4 choose 1) * (4 choose 1).

This doesn't include 4 of a kinds or full houses.

Edit: This also assumes that all 52 cards have an even chance to be drawn. Obviously cards that are already dealt to the players will have a lower chance of showing up.

Look i am using peoples responses on here to double check my self, so if you don't mind would you please give an answer and not a formula.

Look i am just trying to help you, but now I won't.

Well, i don't understand why you just didn't answer the question if you knew the answer.

maybe b/c the way you asked him made it sound like you were demanding it rather than kindly asking.

Furthermore, if you bothered to put even a little effort, you could have done the calculation yourself given what txrandom gave you, but you're jsut one lazy person.

You think i am asking on here because i would understand his formula?

It's like if someone tells you "the answer is 5*5", and you reply with "C'mon, just give me the answer". Are you that lazy to solve 5*5?

Now granted, I don't know the answer to your original question and I also do not know if Txrandom's equation is the correct answer, however, your laziness is what makes you sound stupid and a child.

Look up how to do (X choose Y) type problems (permutation/combination formulas) and you will be able to sovle TXrandom's answer in a jiffy.

lol 54 years old.