Hi Duncan and Stefan and Pedro and Evan, Sorry, you guys, but you aren't correct.
In probability there's a thing called the law of large numbers. If you generate a long enough string of numbers "randomly" that eventually you would have every digit the same number of times. N oparticular number is favored. Your answer relies upon this law of randomness. What is actually wrong with the standard answere you gave is that one is not dealing with a large number of choices, and, as such, odds *do not apply.* I went to a site with the software and made my choice and did not switch and I won. Doing it more than once is outside the boundaries of the game. Cheers, David J --- In [email protected], "Duncan Dicks" <[EMAIL PROTECTED]> wrote: > > I Had a freind who wouldnt believe this no matter how often I explained the > maths to him so he set up spreadsheet to test it out. Very easy to do and > confirmed what the maths tells you - you should switch! > > Duncan > ----- Original Message ----- > From: "aznseashell" <[EMAIL PROTECTED]> > To: <[email protected]> > Sent: Sunday, December 25, 2005 7:04 AM > Subject: [Speed cubing group] Re: (Off topic)3 doors... > > > Haven't we had this dicussion before? Or was it in another cubing group? > > The game is set up so that if you switch, a winning choice would > become a losing choice and vice versa. In the beginning you had a 1/3 > chance of winning and 2/3 chance of losing. Staying with your choice > doesn't change your odds of winning (the host will always be able to > show you a door with nothing behind it no matter which door you > picked), but switching will turn your probabability of winning to 2/3. > > If my explanation makes no sense, consider the situation with 100 > doors and one door with a prize. You pick a door, and the host shows > you 98 doors with nothing behind them. Now it's much more obvious that > you should switch, right? > > Shelley > > > --- In [email protected], "richy_jr_2000" > <[EMAIL PROTECTED]> wrote: > > > > It is counter intuitive, but if you are in this situation, your > > chances would be better to switch to the other door. It's actually > > quite interesting. > > > > -Richard > > > > --- In [email protected], Pedro > > <[EMAIL PROTECTED]> wrote: > > > > > > Ok, this is off topic, but is interesting... > > > > > > (please forgive if I make some mistake on the english...) > > > Suppose you are at a TV show, where you have 3 doors. 1 of the > > doors has a car, and the other 2 don't have anything. So, the show > > presenter asks you to choose a door. So, you choose, but he doesn't > > open your choosen door. He opens an empty door. Then, he makes a > > question: do you want to continue with your first choice or change to > > the other door? > > > > > > What do you do? > > > What situation gives you more chances of winning? > > > > > > Think about it... > > > > > > Pedro > > > > > > > > > --------------------------------- > > > Yahoo! doce lar. Faça do Yahoo! sua homepage. > > > > > > [Non-text portions of this message have been removed] > > > > > > > > > > > > > > Yahoo! Groups Links > ------------------------ Yahoo! Groups Sponsor --------------------~--> AIDS in India: A "lurking bomb." Click and help stop AIDS now. http://us.click.yahoo.com/VpTY2A/lzNLAA/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/
