The mechanics of an edge

Dog Hand

Well-Known Member
#22
bklynkid222 said:
<snip>During 66% of the hands dealt I have a - 1/2% edge against me, call it "X" type hands and for the remaining 33% of the hands I have a + 1/2% edge for me, call those "Y" type hands. Using the logic you provided I did the calculation with a $1.00 to $10.00 spread. On X types I bet $1.00, on Y types I bet $10.00.
So here it is 66 hands X $1.00 X -.005= minus 33 cents. & 33 hands X $10.00 X +.005= +$1.65 Agreed ?? If true, then my global edge as you call it is $1.65 - .33 = $1.32 over 100 hands, or also +1.32 %, (with the 1 to 10 unit ratio)<snip>
bklynkid222,

One correction: if you bet $1 2/3rds of the time, and $10 the remaining 1/3rd of the time, then your average initial bet is ($1+$1+$10)/3 = $4. Since you are winning $0.0132/rd, your Initial Bet Advantage (IBA, also frequently called EV) is ($0.0132/$4)*100% = 0.33%.

If you think about it, how can your EV be 1.32% when your maximum one-round EV is only 0.5%?

Hope this helps!

Dog Hand
 
#23
Thanks Dog Hand, I guess I would answer that it's because of raising the wager during that +1/2 %?? Yeah, I'm still a little mixed up to a degree because, and perhaps I am mistaken, When a person tries to verify an EV they should always be able to ( I think) prove it by using the gross dollars put into a system multiplied by the EV multiplied by the number of hands played and come up with an average win rate of Dollars or units per "X" number of hands played. For example, if I play a method which Really has a + 2% overall edge, I expect that for every $1000 that I process into the game, I should "earn" on average $20 over time. However when I do the calcs from my example you cited above I get this::
the proposed +1.32% EV versus the following based on money put into the game 66 x $1.00 = $66.00 + 33 x $10.00 = $330.00 = total cash put in
of = $396 over 100 hands. If the EV is really +1.32% then shouldn't my average earing rate be $5.22 per 100 hands??? 396 x .0132 = $5.22. It's so basic yet somehow a little confusing.
 
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