Why does SCORE equal the hourly win rate? Could someone help me with the math on that?
PS referring to pure SCORE with $10,000 bank roll, kelly betting, 13.5% RoR, etc.
I think you are confusing that the win rate and SD are for 100 rounds of play. To get the 100 round numbers from 1 round numbers you multiply EV/round by 100 and SD/round by the square root of 100, which is 10. So to get SCORE from per round stats you multiply 10 (100/10 = 10) inside the exponent or 100, which is 10^2, outside the exponent. If you just use EV and SD per 100 round stats it is (EV/SD)^2.
I am not trying to check a forumla. What I am trying to understand is probably more easily understood if you've ever used CVCX. If you create a c-SCORE by using a non-optimal betting ramp, a RoR other than 13.5%, or a bankroll other than $10,000 then you will see that your c-SCORE is not the same as the win rate per hour. That is the usual because in the real world, not many folks are playing at 13.5% RoR. But if you set up your CVCX sim with the strict restraints that are necessary to produce a true SCORE then you will see that SCORE is equal to win rate per hour (or at least, it is very close). So it is a special situation that SCORE = win rate and my question is how did this come about? Pretty sure it wasn't a happy accident. I think if you have not played around with CVCX this question might be a little confusing, but thanks for the replies nevertheless.
Last edited by MercySakesAlive; 05-07-2018 at 11:21 AM.
Let me see how simple and intuitive I can make it.
To calculate any hourly win rate (with usual assumptions), you would multiply your average wager by your average advantage and then multiply by the number of hands per hour.
If you are betting your correct Kelly wager, it is defined as your bank*e.v./variance. Your edge is e.v. So, your hourly win rate is simply (e.v./variance)* e.v. = e.v.^2/variance, which is the definition of SCORE, assuming a $10,000 bank.
Simple enough?
Don
Bookmarks