aslan said:
But what I am talking about is, say, a $10,000 br replenishable ten times. I would be playing a lot lower stakes, but I wouldn't have to worry about going totally bust in a single session, since I am only risking ten percent of my potential br at a time. I don't think I need as low an RoR under those circumstances---but I may be wrong. My reasoning is that with a 10% RoR, I have a 90% chance of doubling my session br. On average I will go bust one in ten times. Doesn't that mean I will double 9 times (9 X$10,000 = $90,000) and lose one time (1 X $10,000= $10,000) for a net gain of $80,000 on average? Whereas if my entire $100,000 is always at risk, I wouldn't want a ten percent chance of losing it all. That would be disastrous.
I suppose my approach would be ten times more play intensive. So maybe a pro would choose risking the whole thing with a miniscule RoR, like the .1% you mentioned, and make his annual salary in short order. Also, even though he's betting a lot higher, I will probably have a whole lot more heat simply because I'm playing ten times longer on average. It gives the houses a lot more time to get to know me.
Like I said, I hope we get some comment on this.
PS--I think .01% RoR is close enough to a sure thing, but my heart will still skip a beat from time to time realizing that the door is still ever so slightly ajar. Lol I suppose if a thousand people take our advice, one of them on average is not going to like it! Lol I think that's why Arnold Snyder said he didn't like giving advice based on probabilities.
Well, here's my thoughts lol.
If you have a $10K roll with a 10% ROR (I'm gonna assume "lifetime"), then,yes, you have almost a 90% chance of doubling your roll if you play "forever". At that point, since you have now doubled the units in your original and you keep the same dollar spread, you now, from that point forward, have a 99% chance of doubling your original 10K roll again. (.1*.1=.01).
If you kept the same dollar spread, say $5-$500, whatever, your original ROR of 10% would now be .1^4 = 0.01% with a $40K roll since your original
roll has now quadruopled in units.
You can bet $10K or $100K with the same ROR as long as you *10 your original $ spread since you will have same # of units in roll (like $50-$5000 now for example now).
You want to get really close to 0% ROR, then keep the same $5-$500, for example, spread with a $100K roll instead of an $10K roll. You now have a 20000 unit roll instead of a 2000 unit roll.
It's impossible to bet the same absolute dollar spread and have the same ROR with different rolls since the units in the roll you are betting to will have changed.
The risk of halving original roll playing forever at some point is square root of original risk. So with an original lifetime ROR 0f 10%, the risk of halving your roll at some point is 31.6%.
Practically speaking, since none of us can play for infinity, pick a number of hands.
With an original low lifetime ROR, chances are if you ever double your original roll, you will win money forever since, after that point, doubling your original or roll or 100* your original roll are, practically speaking, about the same keeping original $ spread the same. After all, one only makes x units per hand with the same fixed $ spread, whether you have 1 or 1000000 units in roll.
Hope that helps a little.