# Maths Question

• Bronze
Joined: 23.09.2008
Hi,
I was wondering if someone could work an EV question out for me step by step so I can see exactly how it's done (I have some idea but I think I'm missing a couple of elements)...

Say I raise with TT and I get reraised, I then call.
The flop comes out 3 5 7 or something like that. Then I check and the villain goes all in, or I bet and the villain goes all in.

If I make the assumption that he 3 bets JJ+ AKo AKs, and that he'll go all in on this flop with all of those, then what is my EVcall?
The way I'm thinking about this is that he has 24 hands that are already beating me, and 16 hands that I'm beating. I don't really know where to go from here. Maybe if we start with 1500 stack each and then say my first bet was 60, he reraises me to 180. I call, then bet on the flop 360 and he goes all in. for his remaining 1220.
Then I could imagine the calculation going along the lines of :
2/5 times I have better hand, but I will still only win 70% of the time. 3/5 times he has better hand and I lose around 90% of the time.

But I'm uncertain how exactly to express that.

How am I doing?
• 7 replies
• Bronze
Joined: 28.05.2006
pokerstove
install pokerstove
this is a wonderfull programm !
you can type in you hand (T T)
and the flop and thwe handrange your opponent has.

then you get an exact equity number.

then you just have to compare this to the pot odds

this is really a wonderfull helping programm
• Bronze
Joined: 23.09.2008
I actually do have pokerstove and use it all the time . that's why I opened this thread. Just because I want to see how it gets those equity values.
• Bronze
Joined: 13.11.2007
Say you're calculating your EV from the flop

- 1st step:give him a range = {JJ+, AK}
- 2nd step: use pokerstove to get your equity

Board: 3c 5d 7h

equity win tie pots won pots tied
Hand 0: 34.682% 33.88% 00.80% 80493 1911.00 { TT }
Hand 1: 65.318% 64.51% 00.80% 153285 1911.00 { JJ+, AKs, AKo }

- 3rd step: summarize the situation
Pot size on the flop: pot = 180*2+blinds(say 15)+360(your bet)*2= 1095
You have to call: bet = 1220-360 = 860

-4th step = compute the EV of your options:
EVfold = 0
EVcall = equity*(pot+bet) - (1-equity)*bet
= 0.34 * (1095+860) - 0.66*860 = 97.1

Here you go.

Cheers
• Bronze
Joined: 13.11.2007
ok, I guess you don't want to use pokerstove.

So lets break down the combinations:

- against JJ+, you have two outs, so you have ~10% equity on the flop. This is 24 combinations in his range
- against AK, he has 6 outs against you, ~25% equity on the flop. This is 16 combinations of his range.

So your equity on the flop is as follow: equity = 24/40*0.1+16/40*0.75 = 0.35

You finish like in my previous post inserting this value instead of the pokerstove values.

Advnatage of making these calculation yourself: you can weight his range. Say you know he is keen to fold AK if he miss, except in like 10% of the time. Then your equity becomes:

equity = 24/(24+0.1*16)*0.1+0.1*16/(24+0.1*16)*0.75=0.14

Well at least I calculate it this way

Cheers
• Bronze
Joined: 23.09.2008