Equity against an opponents range!

[gmac]

A lot of the high stakes cash pros say that they instantly know their equity in a hand against an opponents range through having used Pokerstove over and over and over again. I would love to be able to do this but I just wonder how you could possibly retain all the variations as surely adding an extra hand or two into their range would affect the percentages by several percent.

Do you just learn general equity ranges for typical hands that occur and are these common knowledge to all of you who play? If any of you know equity of ranges off the top of your head, what sort of things do you know, can you give me an example please?

Also, say you know your equity in a hand against his range, what do you do with it? How do you apply it?

[shoxbb6]

They get it by messing around with pokerstove, and just plugging in different kinds of ranges.

Once you know your equity versus a range, you can then use this to make decisions based on ev.

[gmac]

So in the following example I am correct to call his turn bet given the following range yes?

FullTiltPoker Game #2765611854: Table Hualapai (6 max) - $0.25/$0.50 - No Limit Hold'em - 11:27:21 ET - 2007/06/25
Seat 1: Nochnoi Dozor ($67.65)
Seat 2: tehmac ($50)
Seat 3: eldudelino ($13.45)
Seat 4: Papi Justify ($50), is sitting out
Seat 5: 32MARK ($47.75)
Seat 6: VILLAIN ($73)
VILLAIN posts the small blind of $0.25
Nochnoi Dozor posts the big blind of $0.50
The button is in seat #5

*** HOLE CARDS ***
Dealt to tehmac [T/images/graemlins/club.gif T/images/graemlins/spade.gif]
tehmac raises to $2
eldudelino folds
32MARK folds
VILLAIN calls $1.75
Nochnoi Dozor folds

*** FLOP *** [6/images/graemlins/diamond.gif 9/images/graemlins/diamond.gif 7/images/graemlins/club.gif]
VILLAIN checks
tehmac bets $3
VILLAIN calls $3

*** TURN *** [6/images/graemlins/diamond.gif 9/images/graemlins/diamond.gif 7/images/graemlins/club.gif] [3/images/graemlins/club.gif]
VILLAIN checks
tehmac bets $7
VILLAIN raises to $14
tehmac has 15 seconds left to act
tehmac calls $7

*** RIVER *** [6/images/graemlins/diamond.gif 9/images/graemlins/diamond.gif 7/images/graemlins/club.gif] [3/images/graemlins/club.gif] [5/images/graemlins/club.gif]
VILLAIN bets $54, and is all in
tehmac: wtf
tehmac has 15 seconds left to act
tehmac folds

VILLAIN shows [4/images/graemlins/club.gif 5/images/graemlins/diamond.gif] a straight, Seven high
VILLAIN wins the pot ($36.60)




equity win tie pots won pots tied
Hand 0: 30.536% 30.54% 00.00% 524 0.00 { TcTs }
Hand 1: 69.464% 69.46% 00.00% 1192 0.00 { 99, 77-66, 33, JTs, 54s, 98o, 54o }


EV = [(1-.30)x(-7)] + [(.30)x(31.50)]
EV = [(.69)x(-7)] + [(9.62)]
EV = [-4.83 + 9.62]
EV = 4.79 BB

Equity is under 50% so we cannot raise and folding does not gain us the 4.79 BB therefore a call is reasonable given the range I specified?

Is this the correct method? How you can work all this out during a hand is beyond me.

[matrix]

your equity in this example is 30%

the pot is ~$31 and is offering 4.4:1

for 100 pots played:

win 30% 30 x 31 = 930
lose 70% 70 x 7 = 490

net win of 440 or $4.40/hand

30% equity is 2.3:1 so odds are better than our pot equity so we can call.

[gmac]

[ QUOTE ]
your equity in this example is 30%

the pot is ~$31 and is offering 4.4:1

for 100 pots played:

win 30% 30 x 31 = 930
lose 70% 70 x 7 = 490

net win of 440 or $4.40/hand

30% equity is 2.3:1 so odds are better than our pot equity so we can call.

[/ QUOTE ]

Thanks matrix, much appreciated! /images/graemlins/smile.gif

Where do you get the 30% equity is 2.3:1 odds from though (I'm not so great at maths /images/graemlins/wink.gif)

Also, given that we are able to call, does this mean that we should always do so as it is the correct play in the long run? I'm assuming that is what the purpose of these calculations is for (assuming we have assigned a correct range - surely though this is always somewhat of a grey area and if you are poor at hand ranges you may be making what you think are correct calls but are instead spewing money?)

When we call here are we just hoping he slows down and we can get to showdown cheaply with our holding if no scare cards hit?

[kflip]

just compute

(1/0.3)-1

subtract 1 because if, for another example, considering 2:1, you win 1 and lose 2 (on average), that's 1 out of 3, so 33%