eastbay
06-14-2004, 11:55 PM
In a recent thread there was some "opinion" (ehem) about the luck factor in not getting broke when playing with 4xbuy-in in the $215 games.
Let's make some reasonable estimates about win percentages for each placing and see what the risk of going broke is for each.
First, let's take an imaginary incredible player who is getting 16,15,14% 1st, 2nd, and 3rd places respectively in the $215s for an astoundingly profitable 42% ROI. While I have heard of this for $55 and below, I have never heard of anything near this high in the $215s.
In this case, a player who starts with $800 will go broke about 25% of the time.
With a still excellent but more realistic split of 14,13,12, with an ROI of 24%, a player with $800 will go broke about 48% of the time.
With numbers probably even more typical of 12,12,12, for an ROI of 12%, this player will go broke about 68% of the time starting from $800.
For this last player, he needs about 30 buy-ins, or about $6500, to get his risk of going broke under 5%.
How's that for a bunch of "probablies" and "maybes." /images/graemlins/smile.gif
How did I figure it? I ran 500,000 trial simulations for each case.
As an aside, the flatness of the probability distribution after, say, 300 games for the current bankroll is kind of startling and disturbing. With these kinds of numbers, you can end up many thousands of dollars apart in either direction from your average ROI. This is a calculation any SnGer should do, IMO, just to grapple with the reality of the gamble we are taking in these things.
eastbay
Let's make some reasonable estimates about win percentages for each placing and see what the risk of going broke is for each.
First, let's take an imaginary incredible player who is getting 16,15,14% 1st, 2nd, and 3rd places respectively in the $215s for an astoundingly profitable 42% ROI. While I have heard of this for $55 and below, I have never heard of anything near this high in the $215s.
In this case, a player who starts with $800 will go broke about 25% of the time.
With a still excellent but more realistic split of 14,13,12, with an ROI of 24%, a player with $800 will go broke about 48% of the time.
With numbers probably even more typical of 12,12,12, for an ROI of 12%, this player will go broke about 68% of the time starting from $800.
For this last player, he needs about 30 buy-ins, or about $6500, to get his risk of going broke under 5%.
How's that for a bunch of "probablies" and "maybes." /images/graemlins/smile.gif
How did I figure it? I ran 500,000 trial simulations for each case.
As an aside, the flatness of the probability distribution after, say, 300 games for the current bankroll is kind of startling and disturbing. With these kinds of numbers, you can end up many thousands of dollars apart in either direction from your average ROI. This is a calculation any SnGer should do, IMO, just to grapple with the reality of the gamble we are taking in these things.
eastbay