Poker Video: No Limit Hold'Em by WiltOnTilt (Micro/Small Stakes)

Mathematics of NL Hold'em: Episode Three

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Mathematics of NL Hold'em: Episode Three by WiltOnTilt

This episode of Mathematics of No Limit Holdem again addresses Pot odds and Implied Odds, and this time introduces Reverse Implied Odds. These concepts are illustrated using hand examples examining preflop, flop and turn play. This video also gives an overview of some valuable software to help determine our pot equity - twodimes.net and pokerstove - and finishes off with some mental shortcuts to help you figure out math at the table.

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WiltOnTilt will discuss key concepts related to the mathematics of No-Limit play using Powerpoint. Begin with the basics: probability and pot odds. Then follow Wilt to more advanced arenas: implied odds and reverse implied odds, software tools and mental shortcuts for equity calculations, complex EV calculations, and an exploration of fold equity. And watch this series conclude with a discourse on the ultimate in professional poker math: hand frequencies, valuebetting, and G-bucks.

Tags

aaron wilt wiltontilt math nl hold'em math equity pot equity pot odds math tools poker software ipod friendly

Video Details

  • Game: nlhe
  • Stakes: Micro/Small Stakes
  • 68 minutes long
  • Posted over 5 years ago

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Comments for Mathematics of NL Hold'em: Episode Three

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BigEd157

Avatar for BigEd157

20 posts
Joined 10/2008

i feel like im in a college physics lecture. i dont know maybe its me but i immediately get sleepy within 3 minutes no make that 2 minutes.this is extrememly dry material which i think could use some simplification into lay mans terms . i think its to "mathy". i know u put a lot of work into it and i like the series but i cant stay awake why listening to it. thank u though i just am trying to be constructive, have u seen some of royalflush clubs videos. they keep it simple . they probably dont make as much cash as u guys at the tables but they keep it simple. and i find it to be pretty easy viewing. thye basically tell u your pant and hand odds and why they r playing the hand. thats it.
ed
didnt mean to sound ungrateful. i have an engineering degree and cant fathom the interest to follow along

Posted over 4 years ago

Entity

Avatar for Entity

8233 posts
Joined 11/2006

If you can't follow along with it, it may not be the series for you (it's already complete and was recorded in our first season). MoNLH is one of the more popular series we have on DeucesCracked but is generally considered to a series that you get back what you put in -- it's not for everyone. Basically -- it's definitely dense, definitely dry, but will definitely pay off if you work your way through it.

All that said, you may want to check out some more live play and more basic videos if you felt it was too mathy, given that the title really says it all here. Smile

Rob

Posted over 4 years ago

WiltOnTilt

Avatar for WiltOnTilt

2410 posts
Joined 10/2007

Hi Ed, Thanks for the feedback.

If you found episodes 1-3 too complex, you'll definitely want to steer clear of episodes 4-8 as the intensity level raises a few notches.

WoT

Posted over 4 years ago

Tomtah

Avatar for Tomtah

5 posts
Joined 10/2008

Loved the 5,5 hand. Before I was 3-betting that hand more randomly but now I got a good foundation to understand when it's correct to 3-bet and when it's correct to call.

Posted over 4 years ago

crossboyke

Avatar for crossboyke

3 posts
Joined 02/2009

The Reverse Impled Odds calculation is incorrect. It should be
EV(TT-AA)=(1/2*[-279.23]-61.13+86.59+86.59+86.59)/4.5

or

EV(TT-AA)=(3*[-279.23]+6*[-61.13]+18*86.59)/27

which is about EV(TT-AA)=13.12



This makes kinda sense. Anyone can approve this?
Especially your second explanation makes me think this should be right, but I'm not sure and I don't want to start off with the wrong theory.

Thx in advance

Posted over 4 years ago

ExaMeter

Avatar for ExaMeter

1 posts
Joined 08/2009

This makes kinda sense. Anyone can approve this?
Especially your second explanation makes me think this should be right, but I'm not sure and I don't want to start off with the wrong theory.

Thx in advance



i just started watching the series and came here to post about this very mistake but agentus beat me to it.

agentus way using the combos leaves no room for mistakes like this (which can easily occur and im not bling WoT).
one could also go by the fractions using EV(TT-AA)=(1*[-279.23]+2*[-61.13]+6*86.59)/9 since TT is 1/9th of villains range, JJ is 2/9th and QQ+ is 6/9th, but thats pretty much the same thing as the combomethod.

Posted almost 4 years ago

TecmoSuperBowl

Avatar for TecmoSuperBowl

Tribe Leader
5588 posts
Joined 01/2009

Time Link to 01:06:06

I realize no one is ever going to check this thread, but I'm just now watching this series and I'm throwing out my equation and guess as for the final example.

The equation I used was -220 = .46x - .54x

x being his bet. 46% of the time we win what he bets, then 54% we lose so we have to figure out for what X makes the equation equal 220.

.46 - .54 = -.08

-220 = -.08x

220/.08 = 2750

If he bets more than 2750, we will be making less than the dead money in the pot offers us in the long run.

Now I'm going to watch the next eps to see if I'm right lol.

Posted over 3 years ago

PygmyHero

Avatar for PygmyHero

4246 posts
Joined 08/2007

Hi Tecmo,

Your setup is incorrect because it doesn't account for us winning the $220 already in the pot when we make the best hand. I set the problem up as:

0 = 0.54 * (-x) + 0.46 * (220 + x)

Where 0 is the breakeven point (our EV is 0)
0.54 is the chance we lose
x is villain's bet size (note that we lose it 54% of the time so the first one is negative)
0.46 is the chance we win
220 is the money already in the pot

Solving the equation:

0 = -0.54x + 101.2 + 0.46x
0 = -0.08x + 101.2
0.08x = 101.2
x = 1265

We can also check this. Let's assume villain bets 1265.

54% of the time we lose our 1265 call
0.54 * (-1265) ~ -683.10 (N.B. NEGATIVE 683.10)

46% of the time we win villain's 1265 bet plus the 220 already in the pot
0.46 * (1265 + 220) ~ 683.10

So calling here when villain bets 1265 is neutral EV.

Posted over 3 years ago

PygmyHero

Avatar for PygmyHero

4246 posts
Joined 08/2007

Time Link to 00:56:35

FWIW I think you made this problem WAY too hard.

We have to call 365, which I will define as one unit.

There is 725 in the pot, which is conveniently approximately two units (365*2 = 730).

Therefore when the action is on use there are ~3 units in the pot (the two already in there and the villain's bet). Again, we are looking at calling one unit (because of the way I set the problem up), so it's easy to see we're getting ~3:1 here.

I realize your point was to explore easy mental math tricks for approximating these types of situations, and I'm fine with the methods you used in general. But I also think it's important to recognize situations where we can use an even easier method.

Posted over 3 years ago

TecmoSuperBowl

Avatar for TecmoSuperBowl

Tribe Leader
5588 posts
Joined 01/2009

Hi Tecmo,

Your setup is incorrect because it doesn't account for us winning the $220 already in the pot when we make the best hand. I set the problem up as:

0 = 0.54 * (-x) + 0.46 * (220 + x)

Where 0 is the breakeven point (our EV is 0)
0.54 is the chance we lose
x is villain's bet size (note that we lose it 54% of the time so the first one is negative)
0.46 is the chance we win
220 is the money already in the pot

Solving the equation:

0 = -0.54x + 101.2 + 0.46x
0 = -0.08x + 101.2
0.08x = 101.2
x = 1265

We can also check this. Let's assume villain bets 1265.

54% of the time we lose our 1265 call
0.54 * (-1265) ~ -683.10 (N.B. NEGATIVE 683.10)

46% of the time we win villain's 1265 bet plus the 220 already in the pot
0.46 * (1265 + 220) ~ 683.10

So calling here when villain bets 1265 is neutral EV.



Thanks for the help Pygmy. Will have to rewatch this later just to drill it into my head.

Posted over 3 years ago

TecmoSuperBowl

Avatar for TecmoSuperBowl

Tribe Leader
5588 posts
Joined 01/2009

Hi Tecmo,

Your setup is incorrect because it doesn't account for us winning the $220 already in the pot when we make the best hand. I set the problem up as:

0 = 0.54 * (-x) + 0.46 * (220 + x)

Where 0 is the breakeven point (our EV is 0)
0.54 is the chance we lose
x is villain's bet size (note that we lose it 54% of the time so the first one is negative)
0.46 is the chance we win
220 is the money already in the pot

Solving the equation:

0 = -0.54x + 101.2 + 0.46x
0 = -0.08x + 101.2
0.08x = 101.2
x = 1265

We can also check this. Let's assume villain bets 1265.

54% of the time we lose our 1265 call
0.54 * (-1265) ~ -683.10 (N.B. NEGATIVE 683.10)

46% of the time we win villain's 1265 bet plus the 220 already in the pot
0.46 * (1265 + 220) ~ 683.10

So calling here when villain bets 1265 is neutral EV.



y = money already in pot.

Ok, so my equation was 0 = y + .46x - .54x.

Your equation was 0 = (y + x).46 - .54x.

I was close! In my equation, I am adding y as if we win that amount no matter what happens (win or lose). In your equation, it accounts for the fact that we only win y 46% of the time (when we win). That makes sense now. Is this correct?

Posted over 3 years ago

PygmyHero

Avatar for PygmyHero

4246 posts
Joined 08/2007

I was close! In my equation, I am adding y as if we win that amount no matter what happens (win or lose). In your equation, it accounts for the fact that we only win y 46% of the time (when we win). That makes sense now. Is this correct?


Yeah, that's right. Basically I think of your equation as:

0 = 100% * 220 + 46% * x - 54% * x

In that setup we win the money in the pot 100% of the time.

Posted over 3 years ago

Texas Donald

Avatar for Texas Donald

7 posts
Joined 09/2009

HI WOT,

been working through this series really like it, however when looking at reverse implied odds on the hand where we have the OESD on x4T 4 facing a turn bet, you have done some calculations and in each one you say we are 18.2% to hit our OESD, but on your chart in episode one it said 8 outs on the turn is 17.4% to hit?

also when we have just 4 clean outs to the straight you say we are 9.1% to hit our hand, yet in week 1 you said 4 outs has an 8.7% chance hit by the turn?

Is there something I am missing or doing wrong?

thanks

Posted over 3 years ago

Rockhoe14er

Avatar for Rockhoe14er

349 posts
Joined 12/2009

FWIW I think you made this problem WAY too hard.

We have to call 365, which I will define as one unit.

There is 725 in the pot, which is conveniently approximately two units (365*2 = 730).

Therefore when the action is on use there are ~3 units in the pot (the two already in there and the villain's bet). Again, we are looking at calling one unit (because of the way I set the problem up), so it's easy to see we're getting ~3:1 here.

I realize your point was to explore easy mental math tricks for approximating these types of situations, and I'm fine with the methods you used in general. But I also think it's important to recognize situations where we can use an even easier method.



wow this is an awesome trick and makes it much easier to calculate the math. Thanks, a lot pygmy

Posted over 3 years ago

MayContainNuts

Avatar for MayContainNuts

318 posts
Joined 03/2010

Texas Donald,
Stuggled with this a bit too - you've probably now worked this out but for anyone else who gets stuck - it's because he's counting the two cards the opponent has as 'seen'.

So there are 52 in the deck, we've seen our 2 hole cards, 4 on the board and the opponent's 2 (say QQ).

52-8 = 44.

There are 8 cards which will help our hand (8 to make the OESD)and 36 unseen that won't. So 36/8, which means we're 4.5:1 to improve.

Convert to percentage: 1/5.5 = 0.181818181 or 18.2%.

Without knowing (or estimating) the opponent's holding, it's 17.4%.

Think this is right but then again I couldn't convert a ratio to percentage or back before I started this series yesterday, so it could be nonsense Smile

Thanks Wilt btw - it's brilliant and fascinating.

Posted over 3 years ago




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