Kelly Criterion Part 2: Avoid Lotteries and Reverse Lotteries

What I don't get is why he does harmonize the different betting systems on the profit factor.
I would have harmonized them on the E(x) which is more informational.

Which would give:
upload_2020-3-1_17-32-44.png


But both him and me used arithmetic mean.
When we should have used the geometric mean.
 
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