Re: 5/5 NL...Doing Business????
 

If you want to lock in the best deal for yourself, in that situation your opponent has 2 outs, so offer to run it 3 times.

Re: 5/5 NL...Doing Business????
 

run the whole deck out.. now your EV is infinity!

Re: 5/5 NL...Doing Business????
 

Hmm.. of course you're right, apparently I suck at math.

BTW I see term 3 as

(1 - N/44) * N/43

which of course is indeed the same as term 2 :

N/44 * (1 - (N-1)/43)

though it's not obvious to me until you reduce them and see they are indeed equal.

Re: 5/5 NL...Doing Business????
 

I believe that is only true for the case of running it twice. Remember that he was providing you the GENERAL solution. What is your point anyway? You know how to factor?

Re: 5/5 NL...Doing Business????
 

I provided a general solution for running it twice. A truly general proof for running it n times with x outs and a deck of size q would be a worthy challenge.