tag:blogger.com,1999:blog-15628310.post113495708143324985..comments2024-02-11T22:40:20.959-05:00Comments on Question of the day: Boxes of MoneyAnonymoushttp://www.blogger.com/profile/18153935609499338685noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-15628310.post-1135083424219677642005-12-20T07:57:00.000-05:002005-12-20T07:57:00.000-05:00Gerald, I did the Monty Hall problem as my first q...Gerald, I did the <A HREF="http://statspuzzles.blogspot.com/2005/08/game-show.html" REL="nofollow">Monty Hall</A> problem as my first question/puzzle. I've always loved that puzzle.<BR/><BR/>This problem is similar, but with only two 'doors' to open, the chances are still 50/50 after revealing what's in the envelope.Anonymoushttps://www.blogger.com/profile/18153935609499338685noreply@blogger.comtag:blogger.com,1999:blog-15628310.post-1135075898738731672005-12-20T05:51:00.000-05:002005-12-20T05:51:00.000-05:00it is a variation on the monty hall question, whic...it is a variation on the monty hall question, which mike will, if he is being kind, post and explain.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-15628310.post-1135053728752204012005-12-19T23:42:00.000-05:002005-12-19T23:42:00.000-05:00Oh god. Im still confused...I'd probably give him ...Oh god. Im still confused...I'd probably give him $10 to leave me alonePipi Longstockingshttps://www.blogger.com/profile/08472123144865554546noreply@blogger.comtag:blogger.com,1999:blog-15628310.post-1135003524271382602005-12-19T09:45:00.000-05:002005-12-19T09:45:00.000-05:00I was going to say this one was more opinionated t...I was going to say this one was more opinionated then anything. It's playing odds for money.<BR/><BR/>You are pretty much betting 5 bucks that says you can get 10 more bucks if you look at it. You are garunteed at least 5 bucks. So, do you feel lucky or not. <BR/><BR/>Myself, it is such a small amount that I think I would go for the other box.Darvhttps://www.blogger.com/profile/09533799179860083881noreply@blogger.comtag:blogger.com,1999:blog-15628310.post-1134999542986335992005-12-19T08:39:00.000-05:002005-12-19T08:39:00.000-05:00No, there is no reason to change your choice.An ex...No, there is no reason to change your choice.<BR/><BR/>An explanation: The hint that is given is misleading! In this puzzle, it is not straightforward to calculate the expectation as suggested in the hint. So, just use your common sense, and note that the chance is and stays 50% that your first choice will be the best one. There is no reason at all to change that choice at the moment you find out that the box contains $10.Anonymoushttps://www.blogger.com/profile/18153935609499338685noreply@blogger.com