Simple Kelly Problem
Hi All,
Probably a ridiculously easy math question, but please help me out by calculating my average advantage in these blackjack scenarios:
a)I place 100 bets, betting the same amount each time. For half of the bets, I have a 1.5% advantage, and for half of them, I am at a .5% disadvantage.
b)Again I play 100 hands, but this time I wager 5x when I have a 1.5% advantage, and just x when I'm at a .5% disadvantage.
According to my gorilla math, my EV in the first scenario is 1.05 x my total action, for an average advantage of .5%
In the 2nd scenario, it's 1.07 x total action, for an average advantage of .7%.
Is this right, in terms of me determining my bet sizes according to some Kelly Criteria (1/2, full, etc.)? Does it matter in terms of the swings that the hands enjoy different
degrees of advantage/disadvantage? In other words, would the bankroll considerations be any different from scenario 2, if I played all hands at a .7% advantage?
Thanks in advance.
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