Dopple said:
I don't need to try and make big money quick after suffering a $500 lost after wonging in on a $25 and loosing several 2 x $75 on a good high TC now I just want slow steady safe growth. I am thinking this can be achieved best by perhaps cutting back a little on the betting ramps were as one would be one unit less than TC perhaps even go a little lower but at the same time always wong out below TC1 and do not wong in below TC1 or 2. That way you would not need quite the EV and thereby the volitility you would otherwise need to offset the loss at the low counts.
To start with your question is irrelevant to what you have posted. And you will find out why i hope after reading the following. You also need to clear out of your head making big money quick, besides if you can't afford losing $500 playing i am afraid it is not a good idea for you to play.
Risk of ruin is the probability of your bankroll dropping to zero before reaching a desired level. There are only two ways to lower your risk of ruin: A) Play a better game (this includes house rules, betting and playing strategy) and B decreasing the size of your unit bet.
I have found over the years that it is much more convenient to have your win rate and standard deviation reported in betting units and not in dollar amount because for a given game these are invariable. It is also convenient to have your bankroll defined in terms of the number of betting units. Please note that the risk of ruin and short term swings (variance per round or hourly variance) are not the same thing, even though standard deviation is a variable in the equation to calculate ROR.
To clarify what is has been correctly mentioned, every time your total action increases because you are using a bigger bet spread or you are able to identify more advantageous situations, the standard deviation (
in betting units) per hand would increase in but luckily so does your win rate per hand. It is also fortunate that win rate is proportional to the number of hands while the standard deviation is proportional to the square root of the number of hands. For instance:
We have a 6D game where pen is 60% vs a 6D with all the same except pen is 90%, the 90% game we will see more high TC's i.e more advantageous situations:
For the 6D 90%, the win rate is 0.057 units/hand and the SD is 5.84 units/hand
For the 6D 60%, the win rate is 0.017 units/hand and the SD is 3.80 units/hand
After playing 20000 hands:
For the 90% game your expected winnings are 20000*0.057 ± sqrt(20000)*5.84 = 1140 ± 825 units
For the 60% game your expected winnings are 20000*0.017 ± sqrt(20000)*3.80 = 340 ± 537 units
The above shows that even though the short term swings for the 60% game is lower, you will get much faster into a positive zone where swings become irrelevant because you will still be ahead.
The whole idea is to have a bankroll that can withstand these short term fluctuations, because the honey is down the line.
