Quote from: Luxo42 on March 02, 2018, 07:09:57 PM

Quote from: RHavar on March 02, 2018, 05:08:48 PM

The other interesting thing about 2x kelly, is that for a binary bet (win all, or lose all) there is 0-EBG (but positive +EV). But actually bustabit (from the houses perspective) isn't a binary bet, it can lose some and win some. So assuming I calculated everything right (which very well might not be the case, as I can't come up with an analytical solution) it's actually quite common for a 2x kelly to be positive expected bankroll growth! (and the worst case is a 2x kelly is 0 EBG)

2x kelly is not 0-ebg for any binary (two-option) bet. It's only for 50% bet.
For bets with low probability 0-EBG point is very slightly less than 2x kelly. Wolfram alpha
Something like up to 1.9933 Kelly
For bets with high probability 0-EBG point is more than 2x kelly. Wolfram alpha

please dont forget the HE of a casino or the edge a player could have in case he uses KC