tag:blogger.com,1999:blog-2036014053389751696.post7980227375228536916..comments2024-08-07T08:29:41.242+01:00Comments on Colin Foster's Mathematics Education Blog: Are two cars better than one?Colin Fosterhttp://www.blogger.com/profile/12463017049484632672noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-2036014053389751696.post-26420342338149390412024-07-29T05:39:17.028+01:002024-07-29T05:39:17.028+01:00Wow, this completely flipped my thinking on the wh...Wow, this completely flipped my thinking on the whole "two cars, double the trouble" idea! It's amazing how our brains can be so easily tricked by numbers. Thanks for breaking down this complex topic in such a clear and engaging way. Definitely food for thought!<br />Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2036014053389751696.post-56892646709136106572022-06-01T10:00:55.559+01:002022-06-01T10:00:55.559+01:00I am sure KO is right - the expected cost per year...I am sure KO is right - the expected cost per year of repairs doubles (assuming identical cars!). I think expectations work more intuitively than probabilities, mainly because the expected value of the two RVs is the sum of the two expectations, even if the RVs are not independent.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2036014053389751696.post-58041643862706296602022-05-26T07:15:20.460+01:002022-05-26T07:15:20.460+01:00Very nice - I wonder if the sentiment/intuition o...Very nice - I wonder if the sentiment/intuition of 'twice as much chance to go wrong' is really about expected values rather than probability - so really it's expressing that 2 cars may have twice as many total problems to deal with (still assuming the first car doesn't get used less etc.). KOhttps://www.blogger.com/profile/02891326341862553976noreply@blogger.com