10-6/3 = First Class Honors
May 20, 2015 2:16 AM

Basically, I need help with a really simple math problem.

So, after a thesis and numerous exams, my very last ultimate final level boss exam is on at the end of the month. And it's a big one. Only, my brain is a bit too fried to work out the math about which docs I should study or not.

So, I have 10 government acts. In the exam, we are going to get a random list of 6 of these, from which we choose 3 to comment on. I would like to get away with studying only 6 docs, not 10 (because right now my brain is so fried, hence why I'm even asking this question).

Is there a scenario where the 6 (random) docs I study do not overlap with the 6 (randomly?) chosen by the examiner? I only need to actually comment on 3 docs at the end of the day. So, if only 3 of my studied docs turn up in the exam, then that's still a win. But it can't be less than three.

I mean, logically, I think I can study 6 - no matter what they are - and at least get asked on 3 in the exam. I think. Right?

(It's painfully obvious that I study history, and not anything remotely quantitative...)
posted by Chorus to Education (4 answers total)
You need to study at least 7.

In the worst case, the three you didn't study will be 3 of the 6 on the exam. The other three will be three you did study.
If you only study 6, the worst scenario is that the 4 you didn't study are 4 of the 6 chosen for the exam. That means you only know 2 of the documents. Not enough.
posted by vacapinta at 2:23 AM on May 20, 2015


Yes, it needs to be 7, because if you only studied 6, then there are *4* you haven't studied. That could mean that out of the 6 questions you get, 4 are unknown acts.
By studying 7, you leave 3 unstudied, so worst case scenario is there are 3 unknown acts out of 6.
posted by EndsOfInvention at 2:28 AM on May 20, 2015


Thanks guys - lifesavers!
posted by Chorus at 3:01 AM on May 20, 2015


Often a question can be turned on its head to make it easier to understand. One way to think of this is of how many you can afford to ignore. Of 6 in the exam you can disregard 3, hence you can disregard 3 of the original 10 and so need to study 7. (Makes sense to me.)
posted by epo at 3:42 AM on May 20, 2015


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