Wondering across how many hands/hours of play one would establish their vppip? I'm thinking as a minimum around 10,000 hands would be close within maybe 5-7.5% standard deviation.?

Thanks alot.

Statistically establishing a VPIP using a series of hands is really just a series of binomial trials, with a “success” probability (p) equal to your VPIP expressed as a decimal and a “failure” probability q = 1-p. Mathematically is is well established that the expected number of successes for N trials is Np and the standard deviation of this value is sqrt(Npq).

Assuming that p=0.3 then (you can repeat this for your actual value), with N=10000 we expect 3000 hands played with a standard deviation of about 45.8. Using 2 standard deviations gives a confidence interval of 95%, three gives a 99% CI. So if you got 30% for a VPIP after 10K hands the 95% CI would be 2908-3092 hands played or 29.08 to 30.92%. If you wanted 99% confidence the interval would be 2863-3137 hands played or 28.63-31.37%.

So yes, 10K hands should give you a pretty decent idea of your VPIP.

Thank you for putting that into English at the end there.

You've been given the answer for establishing the vpip of someone where you do not have any information other than did they vpip. For yourself if you have a set of hands you will vpip with no raise you can establish your maximum vpip at 0 hands. It will vary by game how close you come to this; in a true limp fest you will come close. If someone is raising 20BBs blind every hand it will be much smaller. If you do not have this set of hands or are more interested in actual vpip than the maximum roughly 1000 hands provides a good measurement assuming you can accurately recall whether you have had average luck in your starting hands. The more information you have the smaller the needed sample.

Thanks guys.. really appreciate it.