tag:blogger.com,1999:blog-7557021.post1330660113940289039..comments2024-03-15T00:20:45.921-07:00Comments on Dreamster: For probability afficionados.sudeephttp://www.blogger.com/profile/00941277335658782203noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-7557021.post-36829647496965649472007-05-30T01:44:00.000-07:002007-05-30T01:44:00.000-07:00Blue balls or blue pills....I am in a red pill mo...Blue balls or blue pills....I am in a red pill mood today....<BR/><BR/>How abt red berries and blue berries. <BR/><BR/>That would be a motivation for the Blind man<BR/><BR/>Life is sometimes as trivial as a blue pill and sometimes like a piece of complex &*%^&* like a red pill....sudeephttps://www.blogger.com/profile/00941277335658782203noreply@blogger.comtag:blogger.com,1999:blog-7557021.post-61005578339447360862007-05-29T22:00:00.000-07:002007-05-29T22:00:00.000-07:001 ball in bag_A is good enough to ensure a blue b...1 ball in bag_A is good enough to ensure a blue ball if bag_A is picked. The remaining N-1 blue balls will try to maximize blue balls' odds in bag_B, where they have N red balls to contend with. This is the optimal solution because to increase the odds of picking up a blue ball amidst red and blue balls, we need as many blue balls as possible, and that's N-1.<BR/><BR/>But why would he want blue balls, is my question. I can agree with wanting the Blue Pill, but blue balls!?!?!<BR/><BR/>-TTejaswihttps://www.blogger.com/profile/12566170957042360561noreply@blogger.comtag:blogger.com,1999:blog-7557021.post-75221497283665821622007-05-29T21:01:00.000-07:002007-05-29T21:01:00.000-07:00Question was about a random ball from a random buc...Question was about a random ball from a random bucket right?. Is it possible to keep fraction greater than 1 on BOTH the Baskets.... Anyone know Braille??..Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-7557021.post-32376002033251193432007-05-29T20:32:00.000-07:002007-05-29T20:32:00.000-07:00Vivek wrote: Seems to me the best way is to put on...Vivek wrote:<BR/><BR/> Seems to me the best way is to put one blue ball in one basket and all the rest in the other - this way the probability is<BR/>.5 + .5*(n-1)/2n. Best case situation would be .75 for very large n. Just an intuitive answer - would be interesting to look for a proper proof.<BR/> <BR/>With Regards,<BR/>Vivek <BR/><BR/>Sudeep wrote:<BR/><BR/>Oh, good approach.....<BR/><BR/>So Generically can we say :-<BR/>Reqd. Probability = 0.5 * [ sum of two fractions ].<BR/><BR/>If we ensure that the sum of two fractions is > 1 (like the one Vivek has shown), we can say that the probability of getting a blue ball is higher than 0.5.<BR/><BR/>i.e. :-<BR/><BR/>Keep x blue balls in Bag1 , where x > 1 and x < N<BR/>Keep (N-x) blue balls in Bag2 and all the N Red balls in Bag2.<BR/><BR/>We need to find that x, such that we get the highest probability.<BR/><BR/>Thanks,<BR/>Sudeepsudeephttps://www.blogger.com/profile/00941277335658782203noreply@blogger.com