tag:blogger.com,1999:blog-4115025577315673827.post3354023053494195899..comments2020-03-23T00:01:28.359+05:30Comments on CSE Blog - quant, math, computer science puzzles: Fraction BrainteaserPratik Poddarhttp://www.blogger.com/profile/11577606981573330954noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-4115025577315673827.post-27728115539577409182018-01-24T10:13:35.801+05:302018-01-24T10:13:35.801+05:30Because a/b+c/d != (a+c)/(b+d)Because a/b+c/d != (a+c)/(b+d)Anonymoushttps://www.blogger.com/profile/08688934077375884948noreply@blogger.comtag:blogger.com,1999:blog-4115025577315673827.post-74627972469852414702018-01-23T19:41:31.314+05:302018-01-23T19:41:31.314+05:30Let C denote solving problem correctly. Let S deno...Let C denote solving problem correctly. Let S denote solving by Siddhant and A denote Arithmetic problem.<br />Then according to problem P(C | S, A) > P(C | ~S, A) and P(C | S, ~A) > P(C | ~S, ~A) but P(C | S) < P(C | ~S).<br />This problem is very prominent in statistics. Here the variable A is called the confounding variable, it influences both the independent (S) and dependent variable(C). More can be understood from wiki link on "Confounding".random123https://www.blogger.com/profile/09311351499983373506noreply@blogger.comtag:blogger.com,1999:blog-4115025577315673827.post-54497113178179431992018-01-02T22:11:03.325+05:302018-01-02T22:11:03.325+05:30each question of Arithmetic =x, Geometry =y (say)...each question of Arithmetic =x, Geometry =y (say)<br />6x+28y=34, 25x+9y=34<br />=> x=y=1<br />Therefore, each has same weightage of 1 mark. <br />Even though, 5/6 > 20/25 and 20/28 > 6/9 Vaibhav answered more (20+6=26) questions than Siddhant(5+20=25)sumanthhttps://www.blogger.com/profile/00752341279310790809noreply@blogger.comtag:blogger.com,1999:blog-4115025577315673827.post-24606442556040558012017-12-15T14:30:35.734+05:302017-12-15T14:30:35.734+05:30Score is just the sum of the correct answers. It h...Score is just the sum of the correct answers. It has nothing to do with fractions.Anonymoushttps://www.blogger.com/profile/00094235259094340406noreply@blogger.comtag:blogger.com,1999:blog-4115025577315673827.post-23898226561535328272017-12-15T13:41:35.899+05:302017-12-15T13:41:35.899+05:30This is Simpson's paradox. Siddhant is better ...This is Simpson's paradox. Siddhant is better than Vaibhav in each individual subject, but Siddhant's total score is lesser because he attempts more geometry questions, which are harder than arithmetic questions.<br /><br />See https://en.wikipedia.org/wiki/Simpson%27s_paradox for a more detailed explanation.GoKuhttps://www.blogger.com/profile/05674743004147477362noreply@blogger.comtag:blogger.com,1999:blog-4115025577315673827.post-5773461392526594202017-12-15T12:55:45.442+05:302017-12-15T12:55:45.442+05:30Score = accuracy * total score
So, for Siddhant hi...Score = accuracy * total score<br />So, for Siddhant higher accuracy (5/6) has lower scoring (6) where as Vaibhav has higher score in more accurate tests(arithmetic) mbj111https://www.blogger.com/profile/08175727921626605252noreply@blogger.com