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View Full Version : Calculating the dog.....


Schizo
07-16-2005, 04:30 PM
You have 8 /images/graemlins/heart.gif7 /images/graemlins/heart.gif and flop is 7 /images/graemlins/spade.gif 6 /images/graemlins/heart.gif 2 /images/graemlins/club.gif

Giving you top pair, BDFD, and BDSD. Against someone with 76 of crubs, how much of dog are you?



Against 22 (he has trips) how much of a dog are you? What are the pot odds needed to call down?

llamaoo7
07-16-2005, 04:55 PM
http://www.cardplayer.com/poker_odds/texas_holdem/index.php

Or are you interested in how you calculate the odds?

Schizo
07-16-2005, 06:47 PM
[ QUOTE ]
how you calculate the odds?

[/ QUOTE ]

llamaoo7
07-16-2005, 08:19 PM
[ QUOTE ]
You have 8 /images/graemlins/heart.gif7 /images/graemlins/heart.gif and flop is 7 /images/graemlins/spade.gif 6 /images/graemlins/heart.gif 2 /images/graemlins/club.gif

Giving you top pair, BDFD, and BDSD. Against someone with 76 of crubs, how much of dog are you?



Against 22 (he has trips) how much of a dog are you? What are the pot odds needed to call down?

[/ QUOTE ]

The easiest way I see how to calculate this, bear it's not fast, is to consider all of the cases you win and all of the possible cases.

1.You catch an 8 to improve, but if you catch that 8, he could catch a running flush so that has to be considered too. He could also catch a 6 to make a boat.

2. You could catch a flush yourself and you should take it down if you do.

3. You catch a low straight, the medium straight, or the high straight. As long as both of these cards aren't clubs, you will take it down.

I'm not sure if these are all of the possiblities, but once you get all the ways you can win, you can use combinatorics to add them up. I don't have time right now to finish this so whoever feels like picking up where I left off, go ahead.

Nottom
07-17-2005, 06:04 AM
4) The board could pair above your 8.

mtrubo
07-18-2005, 07:47 AM
i'm not totally sure, but i'll give it a shot...

possible turn + river card combinations left = 990
you win with any turn+river of:
T9 not both /images/graemlins/club.gif = C(8,2) - 1 = 27
45 not both /images/graemlins/club.gif = C(8,2) - 1 = 27
boardpair > 7 = C(4,2) * 6 + C(3,2) = 39
2 /images/graemlins/heart.gif's not 7 or 6 (which are gone anyway) = C(10,2) - 1 [4/images/graemlins/heart.gif5/images/graemlins/heart.gif is already covered] = 44
any 8 without a 6 or both /images/graemlins/club.gif = 3 * 40 - 9 = 111

add em up = 248 of 990 ways = 25.05%
the cardplayer.com calculator says your 24.2% to win, so i guess i'm off somewhere...
can someone please correct me?

Tuben
07-18-2005, 02:35 PM
I use the esay way that skalansky has in his book.

You have like 5 outs to improve on firth and fifth street
runner runner to straight/flush and 3 outs is your 8.

So total of 5 outs and 45 unknoun cards: 45/5 = 9 - 1 to make it in odds form = 8/2 2 cards left so 4:1 give or take.

Tuben
07-18-2005, 02:52 PM
And if he has trips you have like 4 outs if you count both cards mean you are going to se it to the river you are like dead to one card almost like the ather one is calculated to the river not to the next card.

45/4=11,25-1= 10,25:1

schafdawg
07-18-2005, 06:04 PM
[ QUOTE ]
i'm not totally sure, but i'll give it a shot...

possible turn + river card combinations left = 990
you win with any turn+river of:
T9 not both /images/graemlins/club.gif = C(8,2) - 1 = 27
45 not both /images/graemlins/club.gif = C(8,2) - 1 = 27
boardpair > 7 = C(4,2) * 6 + C(3,2) = 39
2 /images/graemlins/heart.gif's not 7 or 6 (which are gone anyway) = C(10,2) - 1 [4/images/graemlins/heart.gif5/images/graemlins/heart.gif is already covered] = 44
any 8 without a 6 or both /images/graemlins/club.gif = 3 * 40 - 9 = 111

add em up = 248 of 990 ways = 25.05%
the cardplayer.com calculator says your 24.2% to win, so i guess i'm off somewhere...
can someone please correct me?

[/ QUOTE ]

Some corrections (I think)
-T9 not both /images/graemlins/club.gif = 4*4-1 = 15 (C(8,2) gives you options of TT and 99, right?)
-95 not both /images/graemlins/club.gif = 15
-54 not both /images/graemlins/club.gif = 15
-2 hearts not T9,59,54 = 42
-boardpair > 8 = C(4,2) * 6 = 36
-another 8 and not 6 or 8 and not clubs = 3 * 40 - 9 = 111
-two more 8s = 3

That's 237, and we need 240. Not quite right either...

Instead of the last two parts, should it just be another 8, not 6, not clubs = 3 * 42 - 9 = 115? That would give 240. Can't figure out which of those is appropriate.