Quote:
Originally Posted by Bubbleblower
Apparently 60 hands per hour is normal reducing the chance of winning the 7.3M to 0.006%.
Of course he started at 50K a hand making it even a lot lower.
Still nothing significant though.
If he had eaten something and stretched his leggs and went to the bathroom and only played 50 hands per hour I can imagine they get very suspicious.
In that case the chance of winning the 7.3M is lot lower than 0.00000003%.
How much lower exactly depends on how many hands he played at 50K.
If the whole story is true at all this could well be the reason for the investigation.
Your sums are simply incorrect. Maybe if you shared your numbers and calculation method, we could point out your mistakes. If you assume Ivey played only 400 hands, which is less than 1 per minute, he still has a
0.5% chance of winning this much. The way to do this is with a
binomial calculator (or alternatively with an approximation to the normal distribution) with p = 0.4947, n = 400, x = 224.
Quote:
Originally Posted by Hood
The difficulty with the maths is framing the question correctly. The question shouldn't be "what's the probability after 7 hours you are up 50 bets" but more accurately "what is the probability you can run up +50 at some point in a 7 hour timeframe."
Good point, but also, why restrict it to 7 hours? Also, who says he didn't get up to 10 million before losing some and leaving?
Quote:
Originally Posted by PLOBirdie
I have created an excel matrix for Phil Ivey's improbable Punto Banco win.
I have assumed the following, using news sources as a basic guide:
1. Phil Ivey won approximately 40 big bets ($150K x 40).
2. He always took the best odds. (Always Betting on the banker )
3. Ties are not counted
4. He played 7 hours, at approximately 45 hands per hour.
The odds of him winning this amount, fairly, is 0.12%.
You may use my excel sheet and modify according to your preferences. The math itself is correct.
http://www.smallfiles.org/download/2...Ivey.xlsx.html
I'm afraid I can't look at this in detail because my antivirus gives me a warning from that site, but from moki's screenshot, I think you've made a mistake in the probability of winning (0.493212). Where do you get this number from? If the payout for Banker bets is 0.95 then this would give a house edge over 5%, when actually it's 1.06% according to
Wikipedia.