# Mathematical Concepts for NL Hold'em - Part 1

- NL BSS
- NL BSS
- Fullring

(37 Votes)
18767
## Description

In the first part of his new series "Mathematical Concepts for NL Hold'em", Hasenbraten talks about hand range, equity and EV calculations.

## Comments (55)

newest first#1

#2

#3

#4

#5

#6

#7

#8

#9

#10

#11

#12

#13

не, нормально всё :)

#14

#15

#16

#17

You choose first EV calcs not the simplest ones to keep us in tone lol.

Waiting next one.

#18

#19

#20

#21

#22

#23

sqrt((-2000-1408.2)^2*0.14524+(2000-1408.2)^2*0.84932+(0-1408.2)^2*0.00544)

Did i miss anything?

#24

#25

#26

#27

#28

#29

hope i did no mistake;)

#30

so for the first step its

0.5*-3 + 0.5*1

and additionally to that you get

+0.5*(for flipping heads)0.5*(4+0)

which equals alltogether

0.5*-3+0.5+0.25*4 = -1.5 + 0.5 + 1 = 0

#31

Small mistake in the last example (1:05)?

I think it should be:

Win = (95+95+16,5)BB = 206,5

The 5BB they invested preflop are included in the 16,5 BB pot at the flop.

#32

будет очень интересно посмотреть на русском

#33

#34

#35

#36

#37

#38

#39

#40

#41

#42

#43

The formula is wrong

-1*0.5 + 1*1/6 + 2*1/6 + 3.5*1/6 = 7/12

#44

The formula is wrong again

-3*0.5 + ( 8*0.25 + 4*0.25 ) = 1.5

It´s logical

50% of the time u lose 3$

50% of the time u win 4$ with the option to win 4$ more.

Definitely a positive Equity Game

#45

To my surprise the last mistake is correct.

Flop: 16.5 BB

14BB+36BB+95BB = 145BB

We know that the button will call

So we add the rest of his stack of 59BB ( 95-36 = 59 )

145BB + 59BB = 204BB

204BB + the Pot of 16.5BB = 220.5BB

220.5BB + 81BB = 301.5BB

81BB / 301.5BB = .2686 -> ~27%

Bravo Hasenbraten, you did one right

#46

#47

At 48min, the first part of the EV calculation.

If you calculate the Equity with 15/51 or 0.294 you exclude the calls of the Blinds. So why are you including them in the Equliator.

If you include them, you have also to include 10BB of the SB and 5BB of the BB for their call, so adding another 15BB

That makes 15/66 or 0.227

#48

36 you corrected yourself

to 48: this is pretty much a made-up example onto which i later follow up as not beeing a good example for this case, therefore i was pretty much just giving the imediate needed equity for the call but to also argue a bit from the game-point of view did include possible holdings for everybody not just the mp. you are right the 2nd number might also have been included, but the take-home message from that part simply is that you can NOT just use a simple EV-calculation like this to solve this situation, so i didnt even try that completly in the beginning, sorry if you didnt get that, hope its clear now. its beeing pointed out on the slide after the next where i do say one of the main misstakes simply is that hero does not only not close the action but its even very likely there is going to be action behind.

#49

@36min: The EV is 1.5 not 0

Your EV is break even

My is positive EV

#50

Thanks

#51

#52

-3*0.5= -1.5

And then for the next sum I think it is only multiplied by 0.5 because after the first flip your dollar is a fact and not probability.

1*0.5= 0.5

5*0.25= 1.25

End result EV+ 0.25

grtz nice video

#53

I'm studying Statistics and find it interesting to see Math combined with Poker! *thumbs-up*

@kevin0685

You can take the $1 from the "Head-path", but then u could only take $4 from the 2nd "Head-path". The result is then EV=$0. ;)

#54

#55