Stand = 0.675
Split = 0.36(x2)=0.72
The number 0.175 is obviously wrong, first of all, the same formula comes to 0.35-0.365 on other sites
The first number where you stand with 20, you know the final total of your hand and you know what your probability of getting beaten is, the odds are set.
When you split, you don’t know your final total, this is why the return will vary slightly, even when using the same formula
If you say 0.175 is correct, what you are saying is that you will win twice as much by standing as you would by splitting, that would officially make you an idiot.
Your expected return in that case would be 0.175 for each hand, that means for every $100 bet you would win $17.50 ?
For 2 handed play you would win $35 per hand
The dealer will go bust 44% of the time, so there is no way your total return can be less than 1/4 of your bet, it is mathematically impossible, the 0.175 says you win less than 1/5 your bet per hand
It is
(0.175 x 2)=0.35 x 4 number of hands = 1.4
and by standing it is
0.675 x 2 number of hands = 1.35
and like i said, the first number varies from 0.35-0.365, i used the smallest total for this example
Just in case you missed it
Now lets analize the wizards gang here
michael – absolutely no comments about math whatsoever, only tries to discredit people, overall, served no real great purpose for being here
nolan – repeatedly put up erroneous numbers for reasons only he would know
his 0.70 is in actuality 0.675
there are no variables here, we know the rules of the game in question from page 1, 4 decks, dealer hits soft 17, splits allowed, etc
first erroneous batch of numbers stated 1.12 return for splitting, 1.4 return for standing
latest edition states 0.70 for splitting, 1.35 for standing
so it went from returning 1.25 times as much to returning 1.93 times as much
you are dismissed, class is over
howard – no doubt the dimmest bulb in this bright ensemble
his math skills come to the conclusion that standing returns 3.85 as much
well now, if this isn’t the sorriest bunch of wannabe mathematicians, i don’t know what is.