Hi GameOfDeath, Stefan and I fully understand that running a simulation is not a mathematical proof. However, we have given a mathematical proof many times. In fact, Stefan has given the exact same mathematical proof, which is why we've resorted to simulations in an attempt to convince people that the answer is in deed 2/3 winning probability when one switches doors.
You know... having 76 successes out of 100 is very nearly (order of magnitude) the probability of getting lucky on a Rubik's Cube is it not? Tyson Mao MSC #631 California Institute of Technology On Dec 30, 2005, at 10:00 AM, Stefan Pochmann wrote: > --- In [email protected], "Daniel Hayes" > <[EMAIL PROTECTED]> wrote: >> >> Thus, the probability of having 76 success out of 100 without >> switching doors = 2.59697e-18 = 0.000000000000000259697% > > Bah, using % is a cheap trick to make it look larger. > I prefer 0.00000000000000000259697 > > I did know the formula, just didn't think I have a tool good enough to > handle these very large and very small numbers. I was wrong, actually > even my pocket calculator easily can... > > It's btw close to the probability that a random scramble results in a > solved 3x3. Just to get on-topic again... :-) > > Cheers! > Stefan > > > > > > > > > Yahoo! Groups Links > > > > > > > ------------------------ Yahoo! Groups Sponsor --------------------~--> Get fast access to your favorite Yahoo! Groups. Make Yahoo! your home page http://us.click.yahoo.com/dpRU5A/wUILAA/yQLSAA/MXMplB/TM --------------------------------------------------------------------~-> Yahoo! Groups Links <*> To visit your group on the web, go to: http://groups.yahoo.com/group/speedsolvingrubikscube/ <*> To unsubscribe from this group, send an email to: [EMAIL PROTECTED] <*> Your use of Yahoo! Groups is subject to: http://docs.yahoo.com/info/terms/
