tag:blogger.com,1999:blog-2036014053389751696.post7980227375228536916..comments2024-03-03T12:56:01.619+00:00Comments on Colin Foster's Mathematics Education Blog: Are two cars better than one?Colin Fosterhttp://www.blogger.com/profile/12463017049484632672noreply@blogger.comBlogger2125tag: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