You already proved my point and now changed your arguement to the fact that these favourable player rules do not exist, therefore my formula can’t apply, but that has nothing to do with anything, it was just a simple math equation.
Splitting 10s is not to your advantage. I never changed my argument. I assumed we are using rules from Planet Earth, not from your imagination. I specifically addressed your rules confusion in a PS in page 2, which you chose to ignore.
you said, according to your wizard, that
“The average gain from standing with a pair of 10s vs 6 is ~0.7 xBet Size.
The average gain from splitting with a pair of 10s vs 6 is ~0.45 xBet Size”
So let it be true
0.7 x $200 = 140
0.45 x $400 = $180
This is getting ridiculous. I previously wrote,
“The average gain is ~0.7xBet if you stand and ~0.45xBet if you split. That is not 0.45xBet per split hand, that is 0.45x your original bet.”
Your original bet is not $400… it is $200:
0.7x$200 = 140
0.45x$200 = 90
I must have explained this a half-dozen times now. Of course I factored in the increaese in bet size. I explicitly explained why I was multiplying by 2 in
“2*(0.61-0.33) = 0.56 (“2″ because 2x bet).”
I even previously wrote the 2 in bold for you, for emphasis, but you don’t seem to get it.
$200 x 85% = +170 roi
$400 x 64% = +256 roi
Your math is ridiculous. You obviously need to consider losses, not just wins. Its no wonder you are having so much trouble understanding basic concepts.
Let’s say you have a coin flip… heads you win $200 and tails you lose $200. You win 50% of the time, so does that make the expected gain $200*50%? Of course not, the expected gain is $200*50% – $200*50% = $0.